Application Practice
Practice
Use this data set for questions 1-5: Test scores: 85, 92, 78, 85, 90, 88, 85, 95
Practice 1
Find the mean of the test scores.
Practice 2
Find the median of the test scores.
Practice 3
Find the mode of the test scores.
Practice 4
Find the range of the test scores.
Practice 5
If a student scores 100 on the next test, how does this affect the mean?
Practice 6
Data: 12, 15, 18, 22, 25, 28, 30. Find the median.
Practice 7
A basketball player scored: 18, 22, 15, 25, 20. What is the mean?
Practice 8
Which measure of center is most affected by outliers: mean, median, or mode?
Practice 9
Create a data set of 5 numbers with mean = 10 and median = 12.
Practice 10
The mean of 4 numbers is 25. Three numbers are 20, 22, and 30. Find the fourth number.
Answers
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1. (85+92+78+85+90+88+85+95)/8 = 698/8 = 87.25
2. Ordered: 78, 85, 85, 85, 88, 90, 92, 95. Median = (85+88)/2 = 86.5
3. Mode = 85 (appears 3 times)
4. Range = 95 - 78 = 17
5. New mean = (698+100)/9 = 798/9 = 88.67. Mean increases by 1.42
6. Median = 22 (middle value of 7 numbers)
7. (18+22+15+25+20)/5 = 100/5 = 20
8. Mean is most affected by outliers
9. Example: 4, 6, 12, 14, 14. Sum = 50, mean = 10, median = 12
10. Sum = 25 x 4 = 100. Fourth = 100 - 20 - 22 - 30 = 28