The Mean and Median of 7 observations are 10 and 9, respectively. If 2 is subtracted from each observation, then the new Median and the new Mean will be:

Given 7 observations with Mean = 10 and Median = 9.

When 2 is subtracted from each observation, both the mean and median decrease by the same constant value.

Original Mean = 10

Subtracting 2 from each observation decreases the mean by 2.

New Mean = 10 - 2 = 8

The original sum of all observations = 10 × 7 = 70

After subtracting 2 from each of the 7 observations:

New sum = 70 - (2 × 7)

New sum = 70 - 14

New sum = 56

New Mean = $\dfrac{56}{7}$ = 8

Original Median = 9

For 7 observations, the median is the 4th value when arranged in order.

Subtracting 2 from each observation decreases the median by 2.

New Median = 9 - 2 = 7

The new Median = 7 and new Mean = 8