3.5.1Practice:Assignment

Practice

Probability and Statistics

Points Possible:20

Name:Alyssa Santana

Date:

Answer the following questions using what you've learned from this unit.

Scoring: Each question is worth 1 point.

For questions 1 - 3, use the following data set to answer the questions. The value 42 is an outlier in this data set.

6111315171822421.What is the mean of the data set?

Answer choices:

14

16

17

18

2.What is the median of the data set?

Answer choices:

14

16

17

18

3.For this data set, which value would be most affected if the outlier, 42, were removed, and the mean and median were recalculated?

Answer choices:

Mean

Median

Mode

For questions 4 - 6, use the following data set to calculate the mean, median, and mode.

Brad plays second base for his baseball team. He has committed the following numbers of errors each year:

161206091704211208124.Based on the collected data, what is the mean number of errors Brad made per year?

Answer choices:

11.7

12

14

21

5.Based on the collected data, what is the mode number of errors Brad committed during his ten-year career?

Answer choices:

11.7

12

14

21

6.Based on the collected data, what is the median number of errors Brad committed per year?

Answer choices:

11.7

12

14

21

For questions 7 - 10, use the following data set to calculate the mean, range, variance, and standard deviation.

Mr. Johnson was concerned about the number of students absent from his classes during the day. He decided to choose one week at random and tally the number of students who missed his classes each day. Here are his sample data:

12100808127.Based on the collected data, what is the range of the number of absences per day from this sample?

Answer choices:

4

8

10

12

8.Based on the collected data, what is the mean number of absences per day from this sample?

Answer choices:

4

8

10

12

9.Based on the collected data, what is the variance of absences per day from this sample?

Answer choices:

1.79

2

3.2

4

10.Based on the collected data, what is the standard deviation of absences per day from this sample?

Answer choices:

1.79

2

3.2

4

For questions 11 - 14, use the following data set to calculate quartiles and test for outliers.

The Kingston High School girls' basketball team had a free-throw contest. Below are the numbers of consecutive free throws made by each member of the team:

357888121214263511.Based on the collected data, what is the upper (or third) quartile of the number of consecutive free throws made by each player?

Answer choices:

7

8

12

14

12.Based on the collected data, what is the IQR (interquartile range) of the number of consecutive free throws made by each player?

Answer choices:

7

10.5

12

21

13.Based on the collected data, what is the upper limit cutoff to determine if there are any outliers?

Answer choices:

5 (14 - 7)

14 + 1.5 (14 - 7)

21 - 1.5 (14 - 7)

7 + 1.5 (14 - 7)

14.How many outliers are there in this data set?

Answer choices:

0

1

2

3

For questions 15 - 17, use the following population data to answer the questions about mean, variance, and standard deviation.

In a city in the Southwest, the numbers of days per month the temperature reached 80 degrees were recorded for a year. Consider this to be a population. Use a calculator and the table to help you.

MonthJan.Feb.Mar.Apr.MayJun.x1413243030(x_i-)²335.99235.0140.0721.81113.85113.85MonthJul.Aug.Sept.Oct.Nov.Dec.x31313028100(x_i-)²136.19136.19113.8575.1787.05373.6515.Based on the population data, what is the mean number of days per month that the temperature reaches 80 degrees?

Answer choices:

About 19

About 21

About 26

About 30

16.What is the variance of these population data?

Answer choices:

About 12.19

About 19.33

About 31

About 148.56

17.What is the standard deviation of these data?

Answer choices:

About 12.19

About 19.33

About 31

About 148.56

For questions 18 - 20, use the box plot below.

18.What is the median of the data set represented by this box plot?

Answer choices:

55

75

80

95

19.What is the interquartile range, or IQR, of the data set represented by this box plot?

Answer choices:

40

55

80

95

20.Are there any outliers in the data set represented by this box plot?

Answer choices:

There are no outliers.

There is at least one above Q3.

There is at least one below Q1.

You cannot tell from the information provided.