The following is a list of 25 measurements: $$\begin{array} { l l l l l l l l l l l }
12 & 18 & 14 & 17 & 19 & 16 & 14 & 18 & 15 & 17 & 11 \
13 & 14 & 11 & 16 & 18 & 15 & 13 & 17 & 15 & 14 & 19 \
12 & 16 & 17 & & & & & & & &
\end{array}$$ How many of the measurements fall within one standard deviation of the mean?
A) 18
B) 13
C) 16
D) 25

Question

The following is a list of 25 measurements: $$\begin{array} { l l l l l l l l l l l } 
12 & 18 & 14 & 17 & 19 & 16 & 14 & 18 & 15 & 17 & 11 \
13 & 14 & 11 & 16 & 18 & 15 & 13 & 17 & 15 & 14 & 19 \
12 & 16 & 17 & & & & & & & &
\end{array}$$ How many of the measurements fall within one standard deviation of the mean?
A) 18
B) 13
C) 16
D) 25

Quizplus · Accepted Answer

To find how many measurements fall within one standard deviation of the mean, first calculate the mean and standard deviation. The mean is 15.2, and the standard deviation is approximately 2.3. Measurements within one standard deviation (12.9 to 17.5) are: 12, 14, 17, 16, 14, 15, 17, 13, 14, 16, 15, 13, 17, 15, 14, 12. There are 16 such measurements.

The Following Is a List of 25 Measurements How Many of the Measurements Fall Within One Standard Deviation