Review One Variable Statistics With Standard Deviation

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

•  28,000 km and 32,000 km.

• 24,000 km and 34,000 km.

• 26,000 km and 34,000 km.

• 27,000 km and 31,000 km.

If we use the mean to measure the typical value or center of the data, we would use the _________ to measure the variability.

• IQR

• Median

• Mean

• Standard Deviation

Pick the definition of an outlier.

• A value that lies outside of most other values in a data set.

• A value that is the largest.

• A value that is the smallest.

• A value that occurs the most.

True or False: the mean and median values of shoe sizes shown in the dot plot for Group B are almost the same.

• True

• False

What is the standard deviation for the data given:

• 6.89

• 10.1

• 7.26

• 9

Which histogram would have the greatest standard deviation?

• A

• B

• C

What is the sample standard deviation of this data set?

2, 4, 4, 5, 7, 8

• 0.5

• 2

• 2.19

• 4.8

Answer explanation

The sample standard deviation formula for this data set is calculated as 2.19, which is the correct answer choice provided.

According to the picture, what is the standard deviation of the data set?

• 6.3

• 44

• 3.6

• 3.3

Approximately ​ (a)   of the data lies within 2 standard deviations of the mean.​

• 95%

• 50%

• 99.7%

• 68%

What is the standard deviation?

• The standard deviation is the average distance from the mean

• The standard deviation is the lowest value in a set of values.

• The standard deviation is the highest value in a set of values.

• The standard deviation is the average of a set of values.