Asked by Akim
$25,000
$45,000
$55,000
$25,000
$35,000
$1,000,000
$35,000
$45,000
$55,000
$25,000
If the CEO's salary of $1,000,000 is taken out of the list, what would happen to the mean and median?
Responses
A The mean and median become equal.The mean and median become equal.
B The mean and median stay the same.The mean and median stay the same.
C The mean and median get further apart.The mean and median get further apart.
D The mean and median get closer together.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: D — The mean and median get closer together.
Work:
- Original (10 values) sum = $1,345,000, mean = $134,500. Median = average of 5th and 6th = ($35,000 + $45,000)/2 = $40,000. Difference = $94,500.
- Without CEO ($1,000,000 removed) sum = $345,000, mean = $345,000/9 = $38,333.33. Median (5th of 9) = $35,000. Difference = $3,333.33.
The outlier greatly lowers the mean but barely affects the median, so they become much closer.
Work:
- Original (10 values) sum = $1,345,000, mean = $134,500. Median = average of 5th and 6th = ($35,000 + $45,000)/2 = $40,000. Difference = $94,500.
- Without CEO ($1,000,000 removed) sum = $345,000, mean = $345,000/9 = $38,333.33. Median (5th of 9) = $35,000. Difference = $3,333.33.
The outlier greatly lowers the mean but barely affects the median, so they become much closer.
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