Question Tag: Median

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  • 1 Marks

QTB – May 2017 – L1 – SA – Q8 – Data Collection and Analysis

This question calculates the median salary from a salary distribution.

If the monthly salary of the staff of ABC Plc. is distributed as follows:

Monthly salary (N’000) Number of staff
6 and under 12 2
12 and under 18 13
18 and under 24 16
24 and under 30 10
30 and under 36 2
36 and under 42 1
Total 44

Then, the median salary is:
A. N20,256
B. N20,265
C. N20,526
D. N20,625
E. N20,652

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  • 10 Marks

QTB – Nov 2015 – L1 – SB – Q5a – Data Collection Analysis

Calculate the mean, median, and mode for the given distribution of student scores.

A group of 24 final year students participated in an Economic Theory Test and their scores were recorded as follows:

12, 14, 18, 7, 11, 15,
8, 15, 10, 14, 19, 9,
14, 6, 13, 14, 12, 16,
10, 9, 12, 15, 8, 17

Required:

Determine the:

  1. Mean,
  2. Median, and
  3. Mode of this distribution.

(Total: 10 Marks)

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  • 1 Marks

QTB – MAY 2016 – L1 – SA – Q12 – Statistics

Calculate the difference between median and range for a given set of numbers

The difference between the median and the range of the set of numbers: 18,
25, 48, 26, 36, 55, 42, 12, 38, 27, 64, 58, 20, 58, 30, 40, is

A. -19
B. -17
C. -15
D. 6
E. 25

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  • 1 Marks

QTB – Nov 2015 – L1 – SA – Q1 – Data Collection Analysis

This question asks to identify the middle term in a set of ordered observations.

The middle term in a set of ordered observations is referred to as:

A. Geometric mean
B. Median
C. Mean
D. Mode
E. Harmonic mean

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  • 20 Marks

QTB – May 2015 – L1 – SB – Q1 – Data Collection Analysis

Analyzing average daily sales data to compute frequency, median, and mode.

The table below shows average daily sales of Rice Krispies in the month of August 2014 in Flavour Restaurant:

Sales Sales Sales Sales Sales Sales Sales Sales Sales Sales
32 8 12 18 26 18 32 28 15 14
22 44 24 18 32 46 52 62 72 78
29 32 10 14 16 24 32 40 24 42
17 20 23 13 16 17 19 36 25 60
25 15 20 42 32 16 20 25 24 50
10 9 11 21 19 12 48 32 32 30

You are required to:
a. Use tally method to prepare a frequency table starting from 1 – 10, 11 – 20, etc. (8 Marks)
b. Compute:
(i) The median (6 Marks)
(ii) The mode (6 Marks)
(Total 20 Marks)

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  • 20 Marks

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.

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)

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  • 4 Marks

QT – May 2019 – L1 – Q4a – Probability

Sketch the normal distribution curve showing the mean, median, and mode.

The continuous random variable X is normally distributed with mean μ and variance σ2.

Required:
Sketch the distribution of  and indicate on your sketch the mean, median, and mode. (4 marks)

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  • 20 Marks

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

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

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)

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  • 20 Marks

QT – May 2016 – L1 – Q1 – Measures of Central Tendency

This question calculates measures of central tendency and dispersion for fuel gallon consumption in 2010, followed by an interpretation of the results.

Mr. Boo, a Chartered Accountant, is investigating the distribution of the number of fuel gallons consumed per day in the year 2010. He conducted a survey on the number of fuel gallons consumed per day and recorded the following results:

NUMBER OF FUEL GALLONS PERCENTAGE OF CONSUMPTION
0 but under 5 38%
5 but under 10 25%
10 but under 15 16%
15 but under 20 21%

Required:

a) Calculate the following measures of central tendency: i) Mean (3 marks) ii) Median (3 marks) iii) Mode (3 marks)

b) Compute the following measures of dispersion and skewness: i) Inter-Quartile Range (3 marks) ii) Variance (3 marks) iii) Appropriate coefficient of skewness (3 marks)

c) Using (a) and (b) above, comment on the distribution of the number of fuel gallons consumed per day in 2010 (2 marks).

(Total: 20 marks)

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  • 16 Marks

QT – May 2018 – L1 – Q6b – Measures of Central Tendency

Calculation of central tendency measures and coefficient of variation based on bi-weekly income data.

 

 

The table below shows the range of bi-weekly income of a sample of 50 accountants of a multi-national accounting firm:

Range of Income (GH₵) Number of Accountants
80 and Less than 100 5
100 and less than 120 4
120 and less than 150 12
150 and less than 170 7
170 and less than 200 8
200 and less than 250 9
250 and less than 300 5

Required:
i) Compute all the THREE measures of central tendency of the range of income and comment on the distribution. (8 marks)
ii) Compute the coefficient of variation of the range of income of the accountants. (7 marks)
iii) Interpret your answer in (ii). (1 mark)

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  • 1 Marks

QTB – May 2017 – L1 – SA – Q8 – Data Collection and Analysis

This question calculates the median salary from a salary distribution.

If the monthly salary of the staff of ABC Plc. is distributed as follows:

Monthly salary (N’000) Number of staff
6 and under 12 2
12 and under 18 13
18 and under 24 16
24 and under 30 10
30 and under 36 2
36 and under 42 1
Total 44

Then, the median salary is:
A. N20,256
B. N20,265
C. N20,526
D. N20,625
E. N20,652

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  • 10 Marks

QTB – Nov 2015 – L1 – SB – Q5a – Data Collection Analysis

Calculate the mean, median, and mode for the given distribution of student scores.

A group of 24 final year students participated in an Economic Theory Test and their scores were recorded as follows:

12, 14, 18, 7, 11, 15,
8, 15, 10, 14, 19, 9,
14, 6, 13, 14, 12, 16,
10, 9, 12, 15, 8, 17

Required:

Determine the:

  1. Mean,
  2. Median, and
  3. Mode of this distribution.

(Total: 10 Marks)

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  • 1 Marks

QTB – MAY 2016 – L1 – SA – Q12 – Statistics

Calculate the difference between median and range for a given set of numbers

The difference between the median and the range of the set of numbers: 18,
25, 48, 26, 36, 55, 42, 12, 38, 27, 64, 58, 20, 58, 30, 40, is

A. -19
B. -17
C. -15
D. 6
E. 25

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  • 1 Marks

QTB – Nov 2015 – L1 – SA – Q1 – Data Collection Analysis

This question asks to identify the middle term in a set of ordered observations.

The middle term in a set of ordered observations is referred to as:

A. Geometric mean
B. Median
C. Mean
D. Mode
E. Harmonic mean

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  • 20 Marks

QTB – May 2015 – L1 – SB – Q1 – Data Collection Analysis

Analyzing average daily sales data to compute frequency, median, and mode.

The table below shows average daily sales of Rice Krispies in the month of August 2014 in Flavour Restaurant:

Sales Sales Sales Sales Sales Sales Sales Sales Sales Sales
32 8 12 18 26 18 32 28 15 14
22 44 24 18 32 46 52 62 72 78
29 32 10 14 16 24 32 40 24 42
17 20 23 13 16 17 19 36 25 60
25 15 20 42 32 16 20 25 24 50
10 9 11 21 19 12 48 32 32 30

You are required to:
a. Use tally method to prepare a frequency table starting from 1 – 10, 11 – 20, etc. (8 Marks)
b. Compute:
(i) The median (6 Marks)
(ii) The mode (6 Marks)
(Total 20 Marks)

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  • 20 Marks

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.

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)

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  • 4 Marks

QT – May 2019 – L1 – Q4a – Probability

Sketch the normal distribution curve showing the mean, median, and mode.

The continuous random variable X is normally distributed with mean μ and variance σ2.

Required:
Sketch the distribution of  and indicate on your sketch the mean, median, and mode. (4 marks)

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  • 20 Marks

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

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

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)

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  • 20 Marks

QT – May 2016 – L1 – Q1 – Measures of Central Tendency

This question calculates measures of central tendency and dispersion for fuel gallon consumption in 2010, followed by an interpretation of the results.

Mr. Boo, a Chartered Accountant, is investigating the distribution of the number of fuel gallons consumed per day in the year 2010. He conducted a survey on the number of fuel gallons consumed per day and recorded the following results:

NUMBER OF FUEL GALLONS PERCENTAGE OF CONSUMPTION
0 but under 5 38%
5 but under 10 25%
10 but under 15 16%
15 but under 20 21%

Required:

a) Calculate the following measures of central tendency: i) Mean (3 marks) ii) Median (3 marks) iii) Mode (3 marks)

b) Compute the following measures of dispersion and skewness: i) Inter-Quartile Range (3 marks) ii) Variance (3 marks) iii) Appropriate coefficient of skewness (3 marks)

c) Using (a) and (b) above, comment on the distribution of the number of fuel gallons consumed per day in 2010 (2 marks).

(Total: 20 marks)

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  • 16 Marks

QT – May 2018 – L1 – Q6b – Measures of Central Tendency

Calculation of central tendency measures and coefficient of variation based on bi-weekly income data.

 

 

The table below shows the range of bi-weekly income of a sample of 50 accountants of a multi-national accounting firm:

Range of Income (GH₵) Number of Accountants
80 and Less than 100 5
100 and less than 120 4
120 and less than 150 12
150 and less than 170 7
170 and less than 200 8
200 and less than 250 9
250 and less than 300 5

Required:
i) Compute all the THREE measures of central tendency of the range of income and comment on the distribution. (8 marks)
ii) Compute the coefficient of variation of the range of income of the accountants. (7 marks)
iii) Interpret your answer in (ii). (1 mark)

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