Answer:
Her claim is false, we can prove it with the next data sets 5,5,5,5,5 and 3, 4, 5, 6, 7
Step-by-step explanation:
If we define the first data set as 5, 5, 5, 5, 5; the median is easily found to be 5 and the variability is 0, i.e., there is no variability in this data set. A second data set with a median of 5 is 3, 4, 5, 6, 7 and its variability is greater than 0 because we have different positive numbers. It is possible to compute the variance (sample variance) for both data sets, the variance for the first data set is 0 and the variance for the second data set is 2.5
