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Chapter 3 Review:Introduction to Statistics

Total questions: 15

Worksheet time: 4hrs 45mins

Name
Class
Date
1.

Find the mean of the lengths of the following tulip flowers:

4, 20, 22, 28, 30, 32, 30, 20, 24, 8, 5, 10

a)

19.2

b)

19.4

c)

30

d)

21

2.

Find the median of the following lengths of sunflowers (in feet): 5, 7, 9, 10, 11, 12, 4, 5.5, 4.2, 4.1, 6.8, 7.2, 3.3

a)

6.8

b)

7.2

c)

7

d)

5.5

3.

Find the mode of the lengths of the texas bluebonnets given below (in feet): 1.8, 3.2, 1.9, 1.7, 1.6, 2.2, 2.4, 1.8, 2.2, 3.2, 2.2

a)

1.8

b)

2.2

c)

3.2

d)

There is no mode because there are multiple repeating values.

4.

Using the histogram provided, estimate the mode of the grades received on the English test indicated.

a)

75

b)

80

c)

85

d)

75

5.

Using the histogram provided, estimate the median value of the scores on the English test.

a)

Between 60 - 70

b)

Between 70 - 80

c)

Between 80 - 90

d)

Between 50 - 60

6.

Using the histogram provided, which of the values below is the closest estimate for the mean score received on the English exam?

a)

72.8

b)

61.5

c)

80.3

d)

79.9

7.

The following values represent the mean heights of California Poppy flower measured in January: 4, 8, 12, 18, 20, 8, 10, 4. If the flowers have all grown 6 inches by December, what will the new mean value be?

a)

16.5

b)

10.5

c)

63

d)

The mean value will not change

8.

The following values represent the mean heights of California Poppy flower measured in January: 4, 8, 12, 18, 20, 8, 10, 4. If the flowers have all grown 6 inches by December, what will the new median value be?

a)

9

b)

15

c)

54

d)

The median value will not change.

9.

The following values represent the heights of snapdragons grown in California (in inches): 11, 12, 13, 11, 14, 11, 12, 13. If the snapdragons are all twice their height 2 months later, what will the new mean value be?

a)

12.13

b)

24.26

c)

14.13

d)

14.26

10.

A sample of white hydrangea's were collected from a botanists garden. The heights of the hydrangeas were listed below: 10, 12, 15, 18, 20, 14, 12. What is the standard deviation of this sample?

a)

3.5

b)

2.4

c)

4.4

d)

6.3

11.

The ages of students in a Botany Class at a local university were collected and listed below. By the standard deviation definition, are any of these values outliers?

Student ages: 18, 18, 19, 20, 20, 21, 22, 23, 25, 26, 48

a)

48 is an outlier, because it is more than 2 standard deviations above the mean.

b)

48 is an outlier, because it is more than 1.5 standard deviations above the mean.

c)

48 is an outlier, because it is more than 2.5 standard deviations above the mean.

d)

There are no outliers in this data set.

12.

Construct a 5-number summary of the following data points. The values provided represent heights of Cypress Trees in California (in meters):

10, 12, 15, 14, 16, 18, 12, 14, 18, 12, 19, 11, 8, 4

a)

Min: 4, Q1: 11 , Med: 13, Q3: 16 , Max: 19

b)

Min: 4, Q1: 12 , Med: 13, Q3: 16 , Max: 19

c)

Min: 4, Q1: 11 , Med: 13, Q3: 18 , Max: 19

d)

Min: 4, Q1: 12 , Med: 13, Q3: 18 , Max: 19

13.

Which of the boxplots given below has the largest IQR value? What would you estimate that range to be?

a)

4200

b)

3800

c)

5500

d)

2100

14.

Construct a boxplot from the following data, which describes the data of a sample set of sale prices for 10 orders from Dunkin Donuts!

1.50, 10.29, 8.34, 6.60, 5.35, 4.90, 8.30, 7.25, 9.50, 10, 11.12, 12.40, 15, 20.19

a)
b)
c)
d)
15.

Identify whether or not the following data set has any outliers, using the IQR definition of an outlier:

10.2, 14.1, 14.4. 14.4, 14.4, 14.5, 14.5, 14.6, 14.7, 14.7, 14.7, 14.9, 15.1, 15.9, 16.4

a)

10.2 is an outlier

b)

15.9 and 16.4 are outliers

c)

16.4 is an outlier

d)

10.2, 15.9, and 16.4 are outliers