- 26 Marks
QM – OCT 2022 – L2 – Q2 – Summary Statistics for Weekly Food Expenditure
Using data on weekly food expenditures from families in Accra, calculate the 20th and 80th percentiles, interquartile range, mean, median, standard deviation, and coefficient of skewness; provide a brief description and interpretation of these statistics in the context of the survey results.
Question
The following data were obtained from a survey requesting Thirty (30) different families in Accra
to list their weekly expenditure on food:
105 85 72 64 106 86 87 78 108 145 102 86 74 72 103 94 63 73 89 75 88 88 107 101
(a) Calculate
(i) The 20th percentile expenditures (ii) The 80th percentile expenditures (iii) The interquartile range
(b) Calculate
(i) The mean (ii) Median (iii) Standard deviation (iv) Coefficient of skewness
(c) Write a brief description of the survey results; interpret each of the values of the
statistics in (a) and (b) above
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