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Statistics and Probability

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

When you add all the data and then divide by number of data points, this is called

a)

median

b)

outlier

c)

mean

2.

Find the mode of the following data:

2, 3, 2, 4, 4, 6, 4, 7

(a)  

3.

At the movie theater, six movies are playing and their lengths are 138, 117, 158, 145, 135, 120 minutes. Which measure of center best represent the data? Justify your selection and then find the measure of center.

4 lines
4.

If you have a date set that has identical numbers, the best measure of center to use is:

a)

mode

b)

range

c)

mean

5.

If the data set has no extreme values or numbers that are identical, it is best to use _________ to find the measure of center.

a)

median

b)

mean

c)

mode

6.

The measure of variability is:

a)

median

b)

range, first quartile, third quartile,

c)

interquartile range, outliers

7.

The following data is showing the number of cell phones returned to the manufacturer each month for a year.


Number of Cell Phones Returned:

20 15 24 37 55 1 39 40 3 35 28 0


What are the mean, median, and mode of the data?

a)

mean = 27.00; median = 26; no mode

b)

mean = 24.75; median = 26; no mode

c)

mean = 24.75; median = 20; mode = 55

8.

The following data is showing the number of cell phones returned to the manufacturer each month for a year.


Number of Cell Phones Returned:

20 15 24 37 55 1 39 40 3 35 28 0


A manufacturer wants to claim that it has a low cell phone return rate. Choose the best measure(s) of center for the manufacturer to use.

a)

mean

b)

median

c)

mode

9.

The table shows the number of homes in 12 different counties that use a solar heating system.


Number of Homes with Solar Heating System:

83 63 82 78 74 90 59 68 71 59 88 85


Which measure of variability does not correspond to the data?

a)

median = 76

b)

third quartile = 84

c)

range = 90

10.

What are the mean and the mean absolute deviation of the data set: 7, 8, 4, 5, 8, 3, 5, 6?

a)

mean = 5.75; mean absolute deviation = 1.5

b)

mean = 5.75; mean absolute deviation = 1.2

c)

mean = 6.25; mean absolute deviation = 1.2

11.

Mr. Hou put student names in a hat and selected five names without looking. What type of sample did he use?

a)

simple random sample

b)

biased sample

c)

voluntary response survey

12.

Which inference can be supported by the double box plot?

a)

The data is symmetric in both box plots

b)

The medians are about the same but the variability in the top plot is much greater than the variability in the bottom plot.

c)

The third and first quartiles of the top plot are both less than those of the bottom plot.

13.

A six-sided number cube whose sides are numbered 1 through 6 is rolled. What are the probability and the likelihood of the cube landing on an odd number?

a)

1; certain

b)

1/2 ; equally likely

c)

1/6 ; equally unlikely

14.

A spinner with four equal-size sections marked X, Y, Z, and Q is spun 100 times. The spinner lands on X 20 times. Which comparison of the experimental probability and theoretical probability of the spinner landing on X is valid?

a)

20% < 25%

b)

20% = 20%

c)

20% < 50%

15.

When Blake loads a washing machine, he needs to choose a load setting of large, delicate, or small; a water temperature setting of hot, warm, or cold; and a regular rinse cycle or an extra rinse cycle. What is the possible number of outcomes in this situation?

a)

8

b)

18

c)

27