Question

Which data set would produce the following 5-number summary?

16, 21, 24, 26, 28

Group of answer choices

24, 18, 22, 23, 23, 21, 28

24, 18, 22, 25, 30, 21, 20

24, 16, 22, 28, 26, 21, 24

24, 16, 22, 25, 28, 21, 24

Answer #1

Since we know that in 5 number summary we get

Minimum value,1st quartile ,median ,3rd quartile , maximum value

So

As we have number summary 16,21,24,26,28

Now

Min value =16

Max =28

So on comparing min value with the data in options then we got to know that option (1) and (2) have min value of 18 so option (1) and (2) can't be correct option

Now

Now only one value is different b/W option (3) and (4)

That is 25 and 26

Since median is 24 so both can be 3rd quartile

3rd quartile of option (3) is 26 while that of (4) is 25

So option (3) 5 number summary is exactly matching with given summary hence option (3) is correct.

Data set for ages of students in stats class:
17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19,19,
20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23,
24, 25, 25, 25, 26, 26, 27, 28, 28, 28, 28, 29, 29, 32, 36, 42
1) Compute the 5-number summary and create a modified box-plot,
using the inner-quartile range to identify any outliers.

Consider the following data:
25
24
18
20
21
18
16
20
23
17
15
13
19
23
24
20
16
26
21
24
15
22
16
12
20
23
19
26
20
25
21
19
21
25
23
26
21
19
20
14
(a)
Develop a frequency distribution
using classes of 12-14, 15-17, 18-20, 21-23, and 24-26.
Class
Frequency
12-14
15-17
18-20
21-23
24-26
Total
(b)
Develop a relative frequency
distribution and a percent frequency distribution using the classes...

descriptive statistics
for the given data
4 8 18 20 21 22 23 24 25 26 27 28 29 30 31 31 32 32 33 33 34 35 36
37 38 39 47 53

BMI Before
BMI After
29
24
25
26
24
23
35
27
22
25
28
27
26
24
27
25
26
24
23
22
21
23
21
25
24
23
25
25
24
26
32
30
26
22
30
28
25
27
25
30
You need to create two histograms: one for the pre-BMI intervention
and another for the post-BMI intervention.
Please
provide your interpretation of the results. For example, you might
want to compare
the two
histograms and point...

With data series: (20, 22, 30, 23, 28, 25, 24, 25, 23, 21, 23)
Construct a Box Diagram.

7. A group of diners were asked how much they would pay for a
meal. Their responses were: $7.50, $25.00, $10.00, $10.00, $7.50,
$8.25, $9.00, $5.00, $15.00, $8.00, $7.25, $7.50, $8.00, $7.00.
$12.00. a. find the standard deviation of this data. Explain what
the mean and standard deviation tell you about how much the group
of diners would pay for a meal. b. Calculate the five-number
summary for this data. c. Calculate the range and IQR for this
data. d....

Find the 5 number summary for each set of data and create 2 box
plots. (Show your boxplot) 11, 19, 15, 20, 13, 15, 12, 14, 14, 17,
16, 22
Respiratory rates at rest (in breaths per minute) of adults in
group B: (show your boxplot) 13, 24, 12, 15, 18, 22, 14, 17, 11,
18

6. Using the class data (see Blackboard file - "Class Survey
Data - PSS-10 and GAS") calculate the correlation between the GAS –
Goal disengagement and the GAS – Goal reengagement scores. Write
the results in a statistical statement.
7. Using the class data calculate the correlation between the
GAS – Goal disengagement and the PSS-10 scores. Write the results
in a statistical statement.
8. Using the class data calculate the correlation between the
GAS – Goal reengagement scores and...

Calculate the five-number summary and the IQR for the following
dataset that shows the number of text messages per student in a
class. 0, 3, 10, 16, 16, 18, 20, 21, 22, 24, 25, 25, 27, 30, 35,
41.

Group
Reggae
Blues
R&B
Early Stage Alzheimer's
21
9
29
24
12
26
22
10
30
18
5
24
20
9
26
Middle Stage Alzheimer's
22
14
15
20
18
18
25
11
20
18
9
13
20
13
19
Use Excel’s ToolPak to compute Two-Way ANOVA
and submit your statistical output.
Are there any significant main effects or an interaction
effect?
Interpret your answer.

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