Answer:
Sample A
Step-by-step explanation:
To find which is most clustered around mean, we can use either mean deviation or variance
Here let us use mean deviation
Mean deviation is calculated as sum of
|x-mean| for all x in the sample.
Sample a: Mean =7
Mean deviation = 3+3+1+1=8
Sample b: Mean = 7
Mean deviation = 4+4+3+3 =14
Sample c: Mean = 7
Mean deviation = 5+2+6+3 =16
Sample d: Mean = 7
Mean deviation = 4+5+2+1 =12
Thus we find that though mean is the same for all four samples mean deviation is the least for sample A
THus sample A is clustered around the mean
