A bowler's scores for a sample of six games were The sample standard deviation is closest to:
A)8.00
B)8.64
C)64.00
D)74.67

Question

A bowler's scores for a sample of six games were  The sample standard deviation is closest to:
A)8.00 
B)8.64 
C)64.00 
D)74.67

Quizplus · Accepted Answer

We first need to find the mean of the scores:
(11+14+10+17+18+11)/6 = 12.0
Then we use the formula for sample standard deviation:
s = sqrt((1/(n-1)) * sum(xi - x)^2)
where n is the sample size, xi is each individual score, x is the sample mean.
Plugging in the values, we get:
s = sqrt((1/5) * ((11-12)^2 + (14-12)^2 + (10-12)^2 + (17-12)^2 + (18-12)^2 + (11-12)^2))
s = 4.0
Therefore, the closest option is B) 8.64 (which is the rounded value of twice the standard deviation)

A Bowler's Scores for a Sample of Six Games Were