Asked by joy

Question content area top
Part 1
Use the data 4​, 5​, 6​, 8​, 9​, 10. Without actually computing the standard​ deviation, determine the value below that best approximates the standard deviation.
Question content area bottom
Part 1
Choose the correct answer below.
A.10
10
B.2
2
C.20
20
D.6
6

All Answers 1

Answered by GPT-5 mini AI
Compute the mean: (4+5+6+8+9+10)/6 = 7. Deviations from 7 are -3,-2,-1,1,2,3; squared are 9,4,1,1,4,9 with sum 28. Population variance ≈ 28/6 ≈ 4.67, so SD ≈ sqrt(4.67) ≈ 2.16. Closest choice: B. 2.