24. Consider the four distributions shown here. Without calculating anything, which distribution do you think has the highest standard deviation? the lowest? a. b. Calculate s for each distribution.

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Questions 24 and 25

23. Consider these summaries of a data set: n = 50, x = 40, and s = 7.2. I'm considering adding one of the following
pairs of values to the data set:
46
Chapter 2: Summarizing Data
%3D
С.
%3D
- 1 and - 2
30 and 50
29. Refe
38 and 42
40 and 40
0 and 80
a.
Which pair(s) will increase s?
Which pair(s) will decrease s?
a.
b.
b.
C.
24. Consider the four distributions shown
here.
30. А
Without calculating anything, which
distribution do you think has the
highest standard deviation? the
lowest?
a.
b.
Calculate s for each distribution.
25. Suppose that in a particular
administration of the Scholastic Aptitude
Test (SAT), the mean and standard
deviation of the math scores were 515
and 116 respectively.
IV
2
4
3
A score of 680 is at the 91st
percentile for the math section.
a.
What does that mean?
Calculate and interpret the z-score for a student who scores a 480 on the math section.
The lowest and highest possible SAT math scores are 200 and 800. Are there any possible scores that would be
considered outliers according to the z-score criterion? If so, identify them.
d. The 25th and 75th percentiles are 440 and 600, respectively. Are there any possible scores that would be
considered outliers according to the fences? If so, identify them.
b.
С.
26. Refer to question 25 about SAT math scores. The z-scores for three students' SAT math scores are:
Charles: -0.99
Indie: 0.73
Francisco: 1.59
a.
Which students scored above the mean?
b.
Find the SAT math coon0
8.
. . . .
Transcribed Image Text:23. Consider these summaries of a data set: n = 50, x = 40, and s = 7.2. I'm considering adding one of the following pairs of values to the data set: 46 Chapter 2: Summarizing Data %3D С. %3D - 1 and - 2 30 and 50 29. Refe 38 and 42 40 and 40 0 and 80 a. Which pair(s) will increase s? Which pair(s) will decrease s? a. b. b. C. 24. Consider the four distributions shown here. 30. А Without calculating anything, which distribution do you think has the highest standard deviation? the lowest? a. b. Calculate s for each distribution. 25. Suppose that in a particular administration of the Scholastic Aptitude Test (SAT), the mean and standard deviation of the math scores were 515 and 116 respectively. IV 2 4 3 A score of 680 is at the 91st percentile for the math section. a. What does that mean? Calculate and interpret the z-score for a student who scores a 480 on the math section. The lowest and highest possible SAT math scores are 200 and 800. Are there any possible scores that would be considered outliers according to the z-score criterion? If so, identify them. d. The 25th and 75th percentiles are 440 and 600, respectively. Are there any possible scores that would be considered outliers according to the fences? If so, identify them. b. С. 26. Refer to question 25 about SAT math scores. The z-scores for three students' SAT math scores are: Charles: -0.99 Indie: 0.73 Francisco: 1.59 a. Which students scored above the mean? b. Find the SAT math coon0 8. . . . .
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