In the given stem-and-leaf plot, how are the mean and the median of the data related.
A
The mean is 0.1 less than the median.
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B
The mean is equal to the median.
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C
The median is greater than the mean by 0.1.
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D
The mean is greater than the median by 0.1.
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Solution
The correct option is D The mean is greater than the median by 0.1. The mean of the data set is the sum of the data divided by the number of data values.
Mean=4.3+4.5+4.7+5.4+6.0+6.8+7.3+7.48=46.48=5.8
Total number of terms are even, hence Median=5.4+6.02=11.42=5.7
Mean – median = 5.8 – 5.7 = 0.1
So, the mean is greater than the median by 0.1.