The number of miles driven on each of five tires was 15,000, 19,000, 19,000, 22,000, and 22,000. Find the mean, the range, and the standard deviation, rounded to the nearest unit.
A) mean: $19,400$ range: $22,000$ standard deviation: $2,577$
B) mean: $6,640,000$ range: $7,000$ standard deviation: $19,400$
C) mean: $19,400$ range: $7,000$ standard deviation: $2,577$
D) mean: $19,400$ range: $7,000$ standard deviation: $6,640,000$
E) mean: $2,577$ range: $7,000$ standard deviation: $19,400$

Question

Quizplus · Accepted Answer

To find the mean, we add up all the values and divide by the number of values: $$\frac{15{,}000+19{,}000+19{,}000+22{,}000+22{,}000}{5}=19{,}400$$
To find the range, we subtract the smallest value from the largest value: $$22{,}000-15{,}000=7{,}000$$
To find the standard deviation, we can use a formula or a calculator. Using a calculator, we get a standard deviation of approximately 2,577 (rounded to the nearest unit). Therefore, the best choice is C.

The Number of Miles Driven on Each of Five Tires 19,40019,40019,400

The Number of Miles Driven on Each of Five Tires $19,400$