Find the range and standard deviation.

Question

Find the range and standard deviation.

The table below gives the number of hours spent watching TV last week by a sample of 24 children.

2	5	7	2	3	1
4	2	2	2	9	1
1	7	10	7	1	3
3	7	3	9	8	3

Range = Correct (Please enter an exact answer.)

Sample Standard Deviation =  (Please show your answer to 4 decimal places.)

Answer 1

The range is simply the largest number in the data range minus the smallest.

Range = 10 - 1 = 9.

Sample Standard Deviation, s: 2.9377601642423

Count, N:	24
Sum, Σx:	102
Mean, x̄:	4.25
Variance, s2:	8.6304347826087

Steps

s2 =	[1/(N-1)]* Σ(xi - x̄)2
= (2 - 4.25)2 + ... + (3 - 4.25)2
/ (24 - 1)
= 198.5 / 23
= 8.6304347826087
s =	√(8.6304347826087)
=	2.9377601642423