Question Tag: Inter-Quartile Range

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QTB – May 2015 – L1 – SA – Q20 – Statistics

Calculating the inter-quartile range for the weekly wages of employees.

If the weekly wages of 5 employees at XYZ company are N10,000, N8,500, N7,500, N6,000, and N5,200, the inter-quartile range for the weekly wages is:

A. N3,450
B. N3,650
C. N3,850
D. N4,050
E. N4,250

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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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QTB – May 2015 – L1 – SA – Q20 – Statistics

Calculating the inter-quartile range for the weekly wages of employees.

If the weekly wages of 5 employees at XYZ company are N10,000, N8,500, N7,500, N6,000, and N5,200, the inter-quartile range for the weekly wages is:

A. N3,450
B. N3,650
C. N3,850
D. N4,050
E. N4,250

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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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