Question Tag: Skewness

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  • 10 Marks

QTB – May 2017 – L1 – SB – Q6b – Data Collection Analysis

Calculate the mode and Pearson's coefficient of skewness for a given distribution of marks.

The table below shows the marks (%) scored in QTB by some candidates who wrote the ICAN Professional examination in May 2016 diet:

Marks % Number of Candidates
20–29 7
30–39 17
40–49 13
50–59 9
60–69 4

If the mean mark is 41.7%, calculate the mode and Pearson’s coefficient of skewness. (10 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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  • 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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  • 10 Marks

QTB – May 2017 – L1 – SB – Q6b – Data Collection Analysis

Calculate the mode and Pearson's coefficient of skewness for a given distribution of marks.

The table below shows the marks (%) scored in QTB by some candidates who wrote the ICAN Professional examination in May 2016 diet:

Marks % Number of Candidates
20–29 7
30–39 17
40–49 13
50–59 9
60–69 4

If the mean mark is 41.7%, calculate the mode and Pearson’s coefficient of skewness. (10 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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You're reporting an error for "QT – Nov 2017 – L1 – Q4 – Data Collection | Measures of Central Tendency | Measures of Dispersion"

  • 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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