Question

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.
• B. The mean is equal to the median.
• C. The median is greater than the mean by 0.1.
• D. The mean is greater than the median by 0.1.

Answer 1

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.

$\text{Mean}=\frac{4.3+4.5+4.7+5.4+6.0+6.8+7.3+7.4}{8}=\frac{46.4}{8}=5.8$

Total number of terms are even, hence
$\text{Median}=\frac{5.4+6.0}{2}=\frac{11.4}{2}=5.7$

Mean – median = 5.8 – 5.7 = 0.1
So, the mean is greater than the median by 0.1.