Question

MATH225 Statistical Reasoning for the Health Sciences

Week 3 Assignment Quartiles and Box Plots

Question Based on the box-and-whisker plot from the solution
above, what is the range of the data?

Question A data set lists the number of reservations
requested at a restaurant daily over the past few months. For this
data set, the minimum is 1, the first quartile is 11, the median is
13, the third quartile is 16, and the maximum is 17. Construct a
box-and-whisker plot that shows the number of reservations.

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

$$x

$$y

$$a2

$$ab

$$7

$$8

$$9

$$÷

functions

$$(

$$)

$$< $$>

$$4

$$5

$$6

$$×

$$|a|

$$,

$$≤

$$≥

$$1

$$2

$$3

$$−

A B C

$$

$$π

$$0

$$.

$$=

$$+

Question The five number summary for a set of data is given
below.

Min
Q1
Median
Q3 Max

4
55
68
69 137

Using the interquartile range, which of the following are
outliers? Select all correct answers.

4

39

73

100

137

Question The five number summary for a set of data is given
below.

Min
Q1
Median
Q3 Max

52
53
60
67 88

What is the interquartile range of the set of data?

14

10

8

4

12

Question The following frequency table summarizes a set of
data. What is the five-number summary?

Value

Frequency

7

1

8

1

9

3

10

1

13

3

15

3

16

2

17

1

Min
Q1
Median
Q3 Max

7
10
11
16 17

Min
Q1
Median
Q3 Max

7
8
10
15 17

Min
Q1
Median
Q3 Max

7
11
13
14 17

Min
Q1
Median
Q3 Max

7
9
13
15 17

Min
Q1
Median
Q3 Max

7
9
12
13 17

Question The following frequency table summarizes a set of
data. What is the five-number summary?

Value

Frequency

5

3

6

5

7

2

8

2

9

3

12

1

14

3

Min
Q1
Median
Q3 Max

5
6
7
8
14

Min
Q1
Median
Q3 Max

5
6
7
9
14

Min
Q1
Median
Q3 Max

5
8
11
12 14

Min
Q1
Median
Q3 Max

5
7
9
10 14

Min
Q1
Median
Q3 Max

5
8
9
11 14

Question The following frequency table summarizes a set of
data. What is the five-number summary?

Value

Frequency

8

2

9

1

10

2

11

3

12

4

13

1

14

1

16

1

Min
Q1
Median
Q3 Max

8
9
12
13 16

Min
Q1
Median
Q3 Max

8
10
11
12 16

Min
Q1
Median
Q3 Max

8
10
11
13 16

Min
Q1
Median
Q3 Max

8
10
11
15 16

Question The following frequency table summarizes a set of
data. What is the five-number summary?

Value

Frequency

9

3

10

3

11

1

13

3

14

1

15

5

16

1

17

1

18

1

Min
Q1
Median
Q3 Max

9
11
14
16 18

Min
Q1
Median
Q3 Max

9
10
11
17 18

Min
Q1
Median
Q3 Max

9
11
15
16 18

Min
Q1
Median
Q3 Max

9
10
11
15 18

Min
Q1
Median
Q3 Max

9
10
13
15 18

Question A data set lists the number of extra credit points
awarded on midterm scores of 15 students taking a statistics
course. For this data set, the minimum is 3, the median is 15, the
third quartile is 16, the interquartile range is 4, and the maximum
is 19. Construct a box-and-whisker plot that shows the extra credit
points awarded.

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

$$x

$$y

$$a2

$$ab

$$7

$$8

$$9

$$÷

functions

$$(

$$)

$$< $$>

$$4

$$5

$$6

$$×

$$|a|

$$,

$$≤

$$≥

$$1

$$2

$$3

$$−

A B C

$$

$$π

$$0

$$.

$$=

$$+

Question Given the following frequency table of data, what is
the potential outlier?

Value Frequency

11
1

12
2

13
12

14
6

15
7

16
2

17
0

18
0

19
0

20
0

21
0

22
0

23
1

11

14

12

13

23

Question A data set lists the number of hours each student,
from a finance class, studied for a midterm. For this data set, the
minimum is 3, the median is 6, the third quartile is 9, the
interquartile range is 5, and the maximum is 17. Construct a
box-and-whisker plot that shows the number of hours studied. Begin
by first placing the middle dot on the median. Then work on placing
the rest of the points starting with the ones closest to the
median.

0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

$$x

$$y

$$a2

$$ab

$$7

$$8

$$9

$$÷

functions

$$(

$$)

$$< $$>

$$4

$$5

$$6

$$×

$$|a|

$$,

$$≤

$$≥

$$1

$$2

$$3

$$−

A B C

$$

$$π

$$0

$$.

$$=

$$+

Question Given the following frequency table of data, what is
the potential outlier?

Value Frequency

7
1

8
0

9
0

10
0

11
0

12
0

13
0

14
2

15
7

16
4

17
5

18
6

19
5

20
1

7

14

15

16

19

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