Analyze and answer the following problems. Show your complete solutions. 1. A testing lab wishes to test two experimental of outdoor paint to see how long each paint will last before fading. The testing lab makes use of 6 gallons of paint for each brand name to test. The result (in months) are as follows: Brand A: 10 60 50 30 40 20 Brand B: 35 45 30 35 40 25 Find:a. Find the variance, mean deviation and standard deviation of Brand A. b. Find the variance, mean deviation and standard deviation of Brand B. c. Which brand performed more consistent? d. Which brand shows more variability?

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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Analyze and answer the following problems. Show your complete solutions.
1. A testing lab wishes to test two experimental of outdoor paint to see how long each paint will last before fading. The
testing lab makes use of 6 gallons of paint for each brand name to test. The result (in months) are as follows:
Brand A: 10
60
50
30
40
20
Brand B: 35
45
30
35
40
25
Find:a. Find the variance, mean deviation and standard deviation of Brand A.
b. Find the variance, mean deviation and standard deviation of Brand B.
c. Which brand performed more consistent?
d. Which brand shows more variability?
2. There were 12 boys and 13 girls, in a class of 25 students, who were given a test. The mean mark for the 12 boys
was 31 and the standard deviation of the boys was 6.2. The mean mark for the girls was 36 and the standard deviation
of the girls' mark was 4.3. Find the mean mark and the standard deviation of the marks of the whole class of 25
students.
Transcribed Image Text:Analyze and answer the following problems. Show your complete solutions. 1. A testing lab wishes to test two experimental of outdoor paint to see how long each paint will last before fading. The testing lab makes use of 6 gallons of paint for each brand name to test. The result (in months) are as follows: Brand A: 10 60 50 30 40 20 Brand B: 35 45 30 35 40 25 Find:a. Find the variance, mean deviation and standard deviation of Brand A. b. Find the variance, mean deviation and standard deviation of Brand B. c. Which brand performed more consistent? d. Which brand shows more variability? 2. There were 12 boys and 13 girls, in a class of 25 students, who were given a test. The mean mark for the 12 boys was 31 and the standard deviation of the boys was 6.2. The mean mark for the girls was 36 and the standard deviation of the girls' mark was 4.3. Find the mean mark and the standard deviation of the marks of the whole class of 25 students.
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