Question Tag: Quartile Deviation

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QTB – May 2017 – L1 – SA – Q12 – Data Collection and Analysis

This question involves calculating the quartile deviation given the first quartile and age distribution.

The age distribution of the administrative staff in a tyre manufacturing company is distributed as follows:

Age of administrative staff (years) Number of administrative staff
28 and under 34 2
34 and under 40 15
40 and under 46 19
46 and under 52 10
52 and under 58 3
58 and under 64 1

If the first quartile age is 38.2 years, then the quartile deviation of the age distribution is:
A. 3.45 years
B. 4.35 years
C. 4.53 years
D. 5.34 years
E. 5.43 years

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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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QTB – May 2017 – L1 – SA – Q12 – Data Collection and Analysis

This question involves calculating the quartile deviation given the first quartile and age distribution.

The age distribution of the administrative staff in a tyre manufacturing company is distributed as follows:

Age of administrative staff (years) Number of administrative staff
28 and under 34 2
34 and under 40 15
40 and under 46 19
46 and under 52 10
52 and under 58 3
58 and under 64 1

If the first quartile age is 38.2 years, then the quartile deviation of the age distribution is:
A. 3.45 years
B. 4.35 years
C. 4.53 years
D. 5.34 years
E. 5.43 years

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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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