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
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\$\$1
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\$\$3
\$\$−
A B C
\$\$
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\$\$0
\$\$.
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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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