Answer:
Standard deviations of both sets are equal
Step-by-step explanation:
We calculate the standard deviations for each sample set
For A
We calculate mean = (2+3+4+5+6+7+8)/7 = 35/5 = 7
We calculate deviations from the mean I.e each element in data set minus mean
x (x-mean)
2 -3
3. -2
4. -1
5. 0
6. 1
7 2
8. 3
If we look closely, we see that the sum of deviations is 0 , hence our standard deviation would be value zero too. This means there is no deviation about the mean
For the second set too, we calculate the mean = 4+5+6+7+8+9+10 = 49/7 = 7
We calculate the deviations too
X. X-mean
4. -3
5 -2
6 -1
7 0
8. 1
9 2
10. 3
Adding sum of deviations, we can see that the S.D is zero here too
Hence, the S.D of both data sets are equal
