Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Frequency Class Be Popularity Score Frequency? 18 19 10 20 21 30 20 22 30 23 24 6 40 6 20 25 26 30 27 1e 28 30 33 0 34 36 10 Meane 24.40 23.85. Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test?
Students from two classes tried out the popularity test. The higher the score, the more popular the person is. Here is the summary of the data: Class A Frequency Class Be Popularity Score Frequency? 18 19 10 20 21 30 20 22 30 23 24 6 40 6 20 25 26 30 27 1e 28 30 33 0 34 36 10 Meane 24.40 23.85. Standard Deviatione 3.59 2.08 Based on the above results, with the help of Excel, answer the following questions: a. James in Class A got 22 in the test. What is his z score in this test? b. Assuming the test scores are nomally distributed, detemine the percentile rank of James. c. Using nomal approximation, it was found that the percentile rank of Edward in Class B is 19. What is his raw score in this test?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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please provide answer of abc
Transcribed Image Text:Question 2
Students from two classes tried out the popularity test. The higher the score, the more popular
the person is. Here is the summary of the data:
Class A
Class Be
Popularity Score
Frequencye
Frequency
18
0
19.
20
30
210
20
22
3e
23e
24
25.
26
27
28
0
30
33
34
36
Meane
24.40
23.85e
Standard Deviatione
3.59
2.08
Based on the above results, with the help of Excel, answer the following questions: «
a. James in Class A got 22 in the test. What is his z score in this test?
b. Assuming the test scores are nomally distributed, detemine the percentile rank of James.
c. Using nomal approximation, it was found that the percentile rank of Edward in Class B
is 19. What is his raw score in this test?
d. Using the original distribution of the data, determine the percentile rank of James and
Edward. (Hint: If a lot of observations fall into the same category, when calculating the
percentile rank, we will assume half of the observations within the category is lower than
our target person while the other half is higher.)
e. Based on the answer in (d), comment on the popularity of James and Edward in their
classes.
f. Compare the percentile rank of James found in (b) and (d), are they the same? Why or
why not?
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Score 30-under 40, frequency 1. Approximately what percent of students got more than 70?
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