1 Construct astem-and-leaf diagram for the accompanyingdata, using two lines per stem.

Complete thestem-and-leaf diagram with two lines per stem.

(Use ascendingorder.)

21

47

42

26

44

31

20

24

26

40

34

45

34

29

24

28

44

38

43

30

2 A pediatrician tested the cholesterol levels of several young patients. The followingrelative-frequency histogram shows the readings for some patients who had high cholesterol levels.

195

205

215

225

0

0.1

0.2

0.3

0.4

0.5

Cholesterollevel

Relativefrequency

A histogram has a horizontal axis labeled Cholesterol level from 190 to 230 in increments of 5 and a vertical axis labeled Relative frequency from 0 to 0.5 in increments of 0.05. The histogram contains 6 vertical bars of width 5 starting at the horizontal axis value 195. The heights of the bars are as follows, where the left horizontal axis value is listed first and the height of the bar is listed second: 195, 0.15; 200, 0.15; 205, 0.2; 210, 0.25; 215, 0.2; 220, 0.05.

1. Use the graph to answer the following questions. Note that cholesterol levels are always expressed as whole numbers.

a. What percentage of patients have cholesterol levels between 195 and 199,inclusive? ( ? )%

b. What percentage of patients have levels of 215 orhigher?

( ? ) %

c. If the number of patients is 20, how many have levels between 205 and 209, inclusive? ( ? ) patients

Researchers collected information on the body parts of a new species of frog. The thumb length for the female frog has a mean of 5.47 mm and a standard deviation of 0.56 mm. Let x denote thumb length for a female specimen.

a. Find the standardized version of x.

b. Determine and interpret thez-scores for thumb lengths of 6.3 mm and 4.7 mm. Round your answers to two decimal places.

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

A quantitative data set has mean 16 and standard deviation 1. Approximately what percentage of the observations lie between 14 and 18?

( ? ) % of the observations lie between 14 and 18.

(Type an integer or a decimal. Round to one decimal place asneeded.)