Question

Construct a sample (with at least two different values in the set) of 6 measurements whose mean, median, and mode are equal. If this is not possible, indicate "Cannot create sample".

Answer 1

Set of measurements whose mean, median, and mode are equal means we have to create a data which follows a normal distribution. Randomly I have taken data and calculated the Mean, Median and Mode

Mean = (Sum of all observations) / (total no. of observations)

Median = Middle value of the data when the data is arranged in ascending order.

Mode = Most repeated observation.

Sl.No	Data
1	1
2	1
3	2
4	2
5	2
6	4
Mean	2
Median	2
Mode	2