Question Tag: Standard Deviation

Search 500 + past questions and counting.

QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion

Compare the risk and return of two investments by calculating mean and standard deviation.

Question

In finance, the standard deviation is frequently used to measure the risk of an investment.
An investor is considering two possible investments A and B. A sample of 10 rates of return is recorded for each investment. These rates of return, given as percentages, are as follows:

Investment A:
4, 6, 6, 5, 4, 5, 8, 5, 5, 8

Investment B:
0, -2, 6, 12, 9, 16, -4, 16, 25, 12

Required:
a. Calculate the mean rate of return for each of the two investments. (6 Marks)
b. Calculate the standard deviation of the rate of return for each of the investments. (6 Marks)
c. Which of the two investments is riskier and why? (8 Marks)

(Total: 20 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Investment Analysis, Mean, Risk Assessment, Standard Deviation
Level: Level 1

Topic: Measures of Dispersion
Series: NOV 2014

QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis

This question involves finding the standard deviation given the variance and mean.

Question

The variance of is 4, and the mean is 5. Find the standard deviation.

A. 2
B. 3
C. 2
D. 3
E. 16

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Statistics, Dispersion, Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis

Calculate the semi-interquartile range and standard deviation for the income distribution of families.

Question

The table below shows the hypothetical incomes of some families in a locality:

Income (N)	Percent (%)
1000 – 1999	6.2
2000 – 2999	5.9
3000 – 3999	7.2
4000 – 4999	8.8
5000 – 5999	7.8
6000 – 6999	15.0
7000 – 7999	17.6
8000 – 8999	12.8
9000 – 9999	8.5
10,000 – 10,999	10.2

Required:

a. Determine the semi-interquartile range for the incomes of the families. (10 Marks)

b. Determine the standard deviation for the incomes of the families. (10 Marks)

(Total: 20 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Data Analysis, Income Distribution, Semi-Interquartile Range, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis

This question asks for the simplest measure of dispersion among the listed options.

Question

The simplest measure of dispersion is the:

A. Mean deviation
B. Standard deviation
C. Range
D. Coefficient of variation
E. Mean Absolute Deviation (MAD)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Dispersion, Range, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis

This question calculates the standard deviation of a company's revenue profile.

Question

What is the standard deviation of the JAC Airlines’ revenue profile for four years if the revenues for those years are N20m, N25m, N18m, and N24m?

A. 2.86
B. 2.87
C. 2.88
D. 2.89
E. 2.99

Answer

Find Related Questions by Tags, levels, etc.

Tags: Dispersion, Revenue, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

Question

b) Use the sample data below to answer the following questions:

Required:
i) Calculate the sample mean, variance, and standard deviation for . (5 marks)
ii) Calculate the sample mean, variance, and standard deviation for $Y$ . (5 marks)
iii) Calculate the sample covariance between and . (3 marks)
iv) Calculate the sample correlation between and $Y$ . (3 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Correlation, Covariance, Sample Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection, Measures of Central Tendency
Series: MAY 2016

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

Question

a) Receipts at a particular depot have amounts which follow the Normal distribution with a mean of GH¢103.60 and a standard deviation of GH¢8.75.

Required:
i) Determine the percentage of receipts over GH¢120.05.
ii) Determine the percentage of receipts below GH¢92.75.
iii) Determine the percentage of receipts between GH¢83.65 and GH¢117.60.
iv) Determine the receipts amount such that approximately 25 percent of receipts are greater.
v) Above what amount will 90 percent of receipts lie?

b) If 10.56 percent of receipts have an amount above GH¢110.05 and 4.01 percent of receipts have an amount above GH¢120.05.

Required:
Calculate the mean and standard deviation of the receipts assuming that they are normally distributed.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Mean, Normal distribution, Probability, Receipts, Standard Deviation, Z-scores
Level: Level 1

Topic: Probability
Series: MAY 2016

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

Question

Data on access time, in minutes, to a medical consultant who charges by the hour was recorded by his accountant’s assistant over a period of one week. Using a class width of 4 minutes, the following frequency distribution table was obtained:

Access Time (Minutes)	Number of Patients
15 – 19	2
20 – 24	5
25 – 29	8
30 – 34	10
35 – 39	13
40 – 44	17
45 – 49	20
50 – 54	16
55 – 59	12
60 – 64	15

Required:
a) Using a graph sheet, draw a less than or a greater than (more than) cumulative frequency curve (ogive) of the data. (6 marks)
b) From the ogive in (a) above, estimate the median access time. (2 marks)
c) Calculate the mean and the mode of the access times. (6 marks)
d) Calculate the standard deviation of the distribution. (4 marks)
e) Using the values in (b) and (c) above, comment on the skewness of the distribution. (2 marks)
(Total: 20 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Distribution, Mean, Median, Mode, Ogive, Skewness, Standard Deviation
Level: Level 1

Topic: Data Collection, Measures of Central Tendency, Measures of Dispersion
Series: NOV 2017

QT – May 2019 – L1 – Q4b – Probability

Solve problems involving normal distribution, life spans, and warranty calculation using Z-scores.

Question

CarJoy Manufacturing Company produces electronic components that have life spans normally distributed with mean $μ$ hours and standard deviation hours. Only 1% of the components have a life span less than 3,500 hours and 2.5% have a life span greater than 5,500 hours.

Required:
i) By standardizing the values of $X$ to the standard normal values, obtain TWO (2) linear equations in $μ$ and $σ$ . (4 marks)

ii) Using an appropriate method of solving simultaneous equations, determine the value of $μ$ and $σ$ in (i) above. (4 marks)

iii) Determine the proportion of electronic components with life spans between 4,120.50 hours and 5,052.45 hours. (4 marks)

iv) If the company gives a warranty of 4,000 hours on the components, find the percentage of components the company is expected to replace under the warranty. (4 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Normal distribution, Probability, Standard Deviation, Warranty Calculation, Z-scores
Level: Level 1

Topic: Probability
Series: MAY 2019

QT – May 2017 – L1 – Q5 – Measures of Central Tendency

Create a frequency table and compute measures of central tendency and dispersion from given data.

Question

The mileages recorded for a sample of company vehicles during a given week gave the following data:

Required:

a) Draw the frequency table of this data, given a class size of 5.
(6 marks)

b) Determine the mean, median, and mode for the data and comment on the distribution.
(6 marks)

c) Compute the quartile deviation.
(4 marks)

d) Determine the standard deviation for the data.
(4 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Distribution, Mean, Median, Mode, Quartile Deviation, Standard Deviation
Level: Level 1

Topic: Measures of Central Tendency
Series: MAY 2017

QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion

Compare the risk and return of two investments by calculating mean and standard deviation.

Question

Investment A:
4, 6, 6, 5, 4, 5, 8, 5, 5, 8

Investment B:
0, -2, 6, 12, 9, 16, -4, 16, 25, 12

(Total: 20 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Investment Analysis, Mean, Risk Assessment, Standard Deviation
Level: Level 1

Topic: Measures of Dispersion
Series: NOV 2014

QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis

This question involves finding the standard deviation given the variance and mean.

Question

The variance of is 4, and the mean is 5. Find the standard deviation.

A. 2
B. 3
C. 2
D. 3
E. 16

Answer

Find Related Questions by Tags, levels, etc.

Tags: Business Statistics, Dispersion, Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection Analysis
Series: MAY 2017

QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis

Calculate the semi-interquartile range and standard deviation for the income distribution of families.

Question

The table below shows the hypothetical incomes of some families in a locality:

Income (N)	Percent (%)
1000 – 1999	6.2
2000 – 2999	5.9
3000 – 3999	7.2
4000 – 4999	8.8
5000 – 5999	7.8
6000 – 6999	15.0
7000 – 7999	17.6
8000 – 8999	12.8
9000 – 9999	8.5
10,000 – 10,999	10.2

Required:

a. Determine the semi-interquartile range for the incomes of the families. (10 Marks)

b. Determine the standard deviation for the incomes of the families. (10 Marks)

(Total: 20 Marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Data Analysis, Income Distribution, Semi-Interquartile Range, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis

This question asks for the simplest measure of dispersion among the listed options.

Question

The simplest measure of dispersion is the:

A. Mean deviation
B. Standard deviation
C. Range
D. Coefficient of variation
E. Mean Absolute Deviation (MAD)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Dispersion, Range, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis

This question calculates the standard deviation of a company's revenue profile.

Question

What is the standard deviation of the JAC Airlines’ revenue profile for four years if the revenues for those years are N20m, N25m, N18m, and N24m?

A. 2.86
B. 2.87
C. 2.88
D. 2.89
E. 2.99

Answer

Find Related Questions by Tags, levels, etc.

Tags: Dispersion, Revenue, Standard Deviation
Level: Level 1

Topic: Data Collection Analysis
Series: NOV 2015

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

Question

b) Use the sample data below to answer the following questions:

Answer

Find Related Questions by Tags, levels, etc.

Tags: Correlation, Covariance, Sample Mean, Standard Deviation, Variance
Level: Level 1

Topic: Data Collection, Measures of Central Tendency
Series: MAY 2016

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

Question

a) Receipts at a particular depot have amounts which follow the Normal distribution with a mean of GH¢103.60 and a standard deviation of GH¢8.75.

b) If 10.56 percent of receipts have an amount above GH¢110.05 and 4.01 percent of receipts have an amount above GH¢120.05.

Required:
Calculate the mean and standard deviation of the receipts assuming that they are normally distributed.

Answer

Find Related Questions by Tags, levels, etc.

Tags: Mean, Normal distribution, Probability, Receipts, Standard Deviation, Z-scores
Level: Level 1

Topic: Probability
Series: MAY 2016

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

Question

Access Time (Minutes)	Number of Patients
15 – 19	2
20 – 24	5
25 – 29	8
30 – 34	10
35 – 39	13
40 – 44	17
45 – 49	20
50 – 54	16
55 – 59	12
60 – 64	15

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Distribution, Mean, Median, Mode, Ogive, Skewness, Standard Deviation
Level: Level 1

Topic: Data Collection, Measures of Central Tendency, Measures of Dispersion
Series: NOV 2017

QT – May 2019 – L1 – Q4b – Probability

Solve problems involving normal distribution, life spans, and warranty calculation using Z-scores.

Question

Required:
i) By standardizing the values of $X$ to the standard normal values, obtain TWO (2) linear equations in $μ$ and $σ$ . (4 marks)

ii) Using an appropriate method of solving simultaneous equations, determine the value of $μ$ and $σ$ in (i) above. (4 marks)

iii) Determine the proportion of electronic components with life spans between 4,120.50 hours and 5,052.45 hours. (4 marks)

iv) If the company gives a warranty of 4,000 hours on the components, find the percentage of components the company is expected to replace under the warranty. (4 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Normal distribution, Probability, Standard Deviation, Warranty Calculation, Z-scores
Level: Level 1

Topic: Probability
Series: MAY 2019

QT – May 2017 – L1 – Q5 – Measures of Central Tendency

Create a frequency table and compute measures of central tendency and dispersion from given data.

Question

The mileages recorded for a sample of company vehicles during a given week gave the following data:

Required:

a) Draw the frequency table of this data, given a class size of 5.
(6 marks)

b) Determine the mean, median, and mode for the data and comment on the distribution.
(6 marks)

c) Compute the quartile deviation.
(4 marks)

d) Determine the standard deviation for the data.
(4 marks)

Answer

Find Related Questions by Tags, levels, etc.

Tags: Frequency Distribution, Mean, Median, Mode, Quartile Deviation, Standard Deviation
Level: Level 1

Topic: Measures of Central Tendency
Series: MAY 2017

Question Tag: Standard Deviation

Filter by Professional Bodies

Filter by Subject

Filter by Series

Filter by Topics

Filter by Levels

QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion

Compare the risk and return of two investments by calculating mean and standard deviation.

You're reporting an error for "QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion"

QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis

This question involves finding the standard deviation given the variance and mean.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis

Calculate the semi-interquartile range and standard deviation for the income distribution of families.

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis

This question asks for the simplest measure of dispersion among the listed options.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis

This question calculates the standard deviation of a company's revenue profile.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis"

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

You're reporting an error for "QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency"

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

You're reporting an error for "QT – May 2016 – L1 – Q4 – Probability"

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

You're reporting an error for "QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion"

QT – May 2019 – L1 – Q4b – Probability

Solve problems involving normal distribution, life spans, and warranty calculation using Z-scores.

You're reporting an error for "QT – May 2019 – L1 – Q4b – Probability"

QT – May 2017 – L1 – Q5 – Measures of Central Tendency

Create a frequency table and compute measures of central tendency and dispersion from given data.

You're reporting an error for "QT – May 2017 – L1 – Q5 – Measures of Central Tendency"

QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion

Compare the risk and return of two investments by calculating mean and standard deviation.

You're reporting an error for "QTB – Nov 2014 – L1 – SB – Q2 – Measures of Dispersion"

QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis

This question involves finding the standard deviation given the variance and mean.

You're reporting an error for "QTB – May 2017 – L1 – SA – Q10 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis

Calculate the semi-interquartile range and standard deviation for the income distribution of families.

You're reporting an error for "QTB – Nov 2015 – L1 – SB – Q3 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis

This question asks for the simplest measure of dispersion among the listed options.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q6 – Data Collection Analysis"

QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis

This question calculates the standard deviation of a company's revenue profile.

You're reporting an error for "QTB – Nov 2015 – L1 – SA – Q3 – Data Collection Analysis"

QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency

Compute the sample mean, variance, standard deviation, covariance, and correlation for the given data.

You're reporting an error for "QT – May 2016 – L1 – Q6b – Data Collection | Measures of Central Tendency"

QT – May 2016 – L1 – Q4 – Probability

Determine percentages of receipts using normal distribution and calculate mean and standard deviation based on given conditions.

You're reporting an error for "QT – May 2016 – L1 – Q4 – Probability"

QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion

Analyze the frequency distribution of access time to a medical consultant, draw an ogive, and calculate measures of central tendency.

You're reporting an error for "QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion"

QT – May 2019 – L1 – Q4b – Probability

Solve problems involving normal distribution, life spans, and warranty calculation using Z-scores.

You're reporting an error for "QT – May 2019 – L1 – Q4b – Probability"

QT – May 2017 – L1 – Q5 – Measures of Central Tendency

Create a frequency table and compute measures of central tendency and dispersion from given data.

You're reporting an error for "QT – May 2017 – L1 – Q5 – Measures of Central Tendency"

Our offerings

Contact Info

Customer

Get In Touch

admin