A study is published with information about ages of people in a particular region. A sample of five residents from the region have the following ages, in years. Complete parts (a) through (d) below.

32

23

75

14

54

The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question.

A quantitative data set has mean

21

and standard deviation

2.

Approximately what percentage of the observations lie between

15

and

27?

The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question.The data set has size

50.

Approximately how many observations lie within

one

standard

deviation

to either side of the mean?