CMA Intermediate · Financial Management and Business Data Analytics · Payable Management
A finance analyst at Rao Foods Ltd plots the days payable outstanding (DPO) of 40 suppliers in a histogram and finds the distribution strongly right-skewed with a few suppliers paid after 150 days. Which summary measure best describes the typical payment period for reporting to management?
The median is the best measure. In a right-skewed distribution of payment days, a few very late payments inflate the mean, whereas the median stays at the central value and gives a more realistic picture of the typical supplier payment period.
- AMedian, because it is not distorted by the few very long payment periodsCorrect
- BMean, because it uses every value including the extreme ones
- CRange, because it captures the full spread of payment days
- DMode of the bucketed data, because it is always the same as the mean
Explanation
In a right-skewed distribution, extreme high values pull the mean upward, so the median represents the typical supplier better. The mean overstates typical days. The range shows spread rather than a typical value. The mode equals the mean only in symmetric unimodal distributions, not here.
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