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This worksheet covers Data Word Problems, which is part of the Measures of Center and Spread module in the SAT Math course. Practice problems are designed to strengthen key concepts and build confidence.
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Set 5 — Mastery
A teacher recorded the test scores of her class: 85, 90, 75, 80, 95, 100. What is the mean score of the class?
87.5
88
90
92.5
In a survey, the ages of 5 participants are: 22, 25, 25, 30, 35. What is the median age?
25
26
27.5
30
A data set has a mean of 50 and a standard deviation of 5. If one value in the set is changed from 60 to 70, what is the new mean?
50.5
51
52
53
The following data set represents the number of hours students studied last week: 4, 6, 6, 8, 8, 10. What is the mode of this data set?
6
8
10
No mode
A store owner records the following sales (in dollars) over five days: 200, 250, 300, 300, 400. What is the range of the sales?
200
150
100
300
A group of friends had the following number of pets: 3, 0, 2, 5, 4. What is the variance of the number of pets?
2.5
4.5
3
5
A class has the following test scores: 70, 80, 90, 100, 110. What is the interquartile range (IQR) of the test scores?
20
30
25
15
If the average number of books read by 10 students is 15, how many total books were read by the students?
150
160
140
170
In a data set, the scores are: 45, 55, 65, 75, 85. If the score of 75 is increased to 95, what is the new median?
65
75
80
85
A set of data contains the weights of 6 animals: 150, 200, 250, 300, 350, 400. What is the standard deviation of the weights?
100
150
125
200
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