##### Question

# Descriptive Statistics

PLS EXPLAIN AND SHOW HOW YOU GOT ALL YOUR ANSWERS!!.THANK YOU.

8. The coefficient of variation CV describes the standard deviation as a percent of the mean. Because it has no units, you can use the coefficient of variation tocompare data with different units. Find the coefficient of variation for each data set. What can you conclude?

CV=(Standard Deviation / Mean) x 100%

Heights Weights

70 228

71 206

69 221

71 199

66 220

67 173

66 182

67 193

80 169

65 214

70 218

CV ( heights)= % (Round to the nearest tenth as needed.)

9. The goals scored per game by a soccer team represent the first quartile for all teams in a league. What can you conclude about the team’s goals scored pergame?

a. The team scored fewer goals per game than 75% of the teams in the league.

b. The team scored fewer goals per game than 50% of the teams in the league.

c. The team scored fewer goals per game than 25% of the teams in the league.

d. he team scored fewer goals per game than 100% of the teams in the league

10. The data show the lengths ( in inches) of a sample of 14 butterfly wings.

a) Find the data set’s first, second, and third quartiles.

b) Draw a box-and-whisker plot that represents the data set.

4.3 4.3 3.7 4.5 5.0 3.9 4.3 3.5 4.4 4.0 4.1 4.7 4.1 3.1

Find the three quartiles.

Q 1

Q 2

Q 3

11. The data show the lengths ( in inches) of a sample of 13 butterfly wings.

a) Find the data set’s first, second, and third quartiles.

b) Draw a box-and-whisker plot that represents the data set.

16.50 18.00 16.50 13.50 16.50 13.00 20.00 13.95 14.45 17.50 17.75 16.05 14.90

Find the three quartiles.

Q 1

Q 2

Q 3

12. The midpoints A, B,C are marked on the histogram (which I couldn’t attach). Match them to the indicated scores. Which scores, if any, would be consideredunusual?

X axis is score (out of 80)

Y axis is number

48 corresponds to 2

53 corresponds to 6

58 corresponds to 10

63 corresponds to 13

68 corresponds to 11

73 corresponds to 6

78 corresponds to 2

The point A corresponds with z ?????

Z=0

Z=1.42

Z=-2.15

13. The mean for statistics test scores is 65 and the standard deviation is 6.0 For the biology test scores, the mean is 21 and the standard deviation is 3.9. The testscores of a student who took both tests are given below.

A student gets a 71 on the statistics test and a 22 on the biology test.

a) Transform each test score to a z-score.

b) Determine on which test the student had a better score.

Transform the statistics test score to a z-score.

Z=

Type an integer or decimal rounded to the nearest hundredth as needed.

14. The measure of position called the midquartile of a data set is found using the formula (Q1+Q3)/2. Find the midquartile of the given data set.

24 37 46 34 35 41 40 25 33 21 38 44

The midquartile is ……. ( Type an integer or a decimal).

15. You can find the percentile that corresponds to a specific data value x by using the following formula. Percentile of x= (number of data values less than x / totalnumber of data values)x100

There have been 75 winners for an acting award. Three winners were older than Jane Doe when they won the award. Find the percentile that corresponds to Jane Doe’sage.

P= (Round to the nearest whole number as needed.)