3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10€¦ · mrs. sparks is a 9th grade algebra 1 teacher. she...
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Name: ___________________________
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Directions: Graph the following linear inequalities.
1. Answer questions (a – e) for the following set of data.
3, 9, 10, 5, 8, 5, 9, 11, 10, 3, 10 a. Find the mean of the data.
b. Find the median of the data.
c. Find the mode of the data.
d. Find the range of the data.
Modeling Spread of Data
e. Find the standard deviation of the data.
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2. Answer questions (a – d) for the following three data sets.
A = {3, 5, 7, 9, 11, 12, 12}B = {1, 2, 2, 5, 5, 9, 13}C = {2, 5, 8, 9, 12, 13, 17}
a. Find the mean of each data set.
b. Find the standard deviation of each data set.
c. Identify the data set with the largest and smallest standard deviation.
d. Explain what the standard deviations say about the data sets.
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3. You have a statistics project due in your math class. As part of the project for one hour you count how many shoppers at your favorite store are between the ages of 21 and 25. Your frequency table is below. Use this table to answer questions (a – c).
Ages
21
22
23
24
25
Frequency
2
5
3
7
10
a. Find the mean of the data.
b. Find the standard deviation of the data.
c. Explain what the mean and standard deviation tell you about the data you collected.
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4. Mrs. Sparks is a 9th grade Algebra 1 teacher. She teaches three Algebra 1 courses and all the classes recently took a chapter exam. Below are the scores.
Class 145
68
77
90
90
95
100
100
86
90
50
55
Class 264
65
70
40
100
87
84
88
90
90
95
80
Class 370
75
75
90
100
80
55
65
76
80
88
99
a. Find the mean, median, mode and range of Class 1.
b. Find the mean, median, mode and range of Class 2.
c. Find the mean, median, mode and range of Class 3.
d. Find the standard deviation of Class 1.
e. Find the standard deviation of Class 2.
f. Find the standard deviation of Class 3.
g. Which class had a higher standard deviation and what does that mean?
h. In your opinion, which class did better on the exam? Explain your answer.