- 25 Marks
QMFD – APR 2024 – L2 – Q2 – Measures of Central Tendency and Skewness in Student Spending
Analyze spending data from 18 students on textbooks by sketching mean-median-mode relationships for different distribution shapes, calculating central tendency measures, and commenting on the actual data distribution.
Question
The Dean of Students of a premier private university in Ghana has been given the responses of 18 students to a question on how much money (in GHS) they have spent on textbooks in the last semester:
0 0 19.99 32.98 19.99 19.99 48.20 32.98 0 19.99 0 32.98 19.99 0 24.50 0 32.98 24.50
(a) Sketch graphs (not drawn to scale) which will show the relationship between the mean, median and mode, and the shape of the distribution when the data above is
(i) Negative Skew
(ii) Positive Skew
(iii) Symmetric
(b) Determine, the
(i) Mean
(ii) Median
(iii) Mode
(c) Using your answer in (a) and (b) above, give a detailed comment on the distribution of the responses of the 18 students, to the Dean.
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