WS “ Measures of Central Tendency”
Name: ___________________
Date: ___________________
Review of Basic Mean, Median, Mode, and Range.
1.) You have taken 6 math quizzes so far this year. The scores on the quizzes are as follows:
93%, 85%, 90%, 77%, 95%, and 80%. Find the three measures of central tendency, as well
as the range. Round answers to the nearest tenth if necessary.
Mean:
Median:
Mode:
Range:
2.) The weights (in pounds) of ten pumpkins are 22,21,24,24,5,23,24,and 24. Find the three
measures of central tendency, as well as the range. Round answers to the nearest pound.
Mean:
Median:
Mode:
Range:
More of a challenge:
3.) Suppose on your first three exams for Mr. Trone you earned an 80, 93 and 91. What grade
do you need on your next exam to have a 90 average on 4 exams?
4.) You have a mean score of 84 after taking five 100 point tests for Ms Young. What do you
need to score on the sixth 100 – point test to have a mean score of 85?
5.) The mean (average) weight of three dogs is 38 pounds. One of the dogs, Sparky, weighs 46
pounds. The other two dogs, Eddie and Sandy, have the same weight. Find Eddie's weight.
6.) Using Tables
Test scores for a class of 20 students are as follows:
93, 84, 97, 98, 100, 78, 86, 100, 85, 92, 72, 55, 91, 90, 75, 94, 83, 60, 81, 95
a) Complete the table shown at the left.
Test
Scores
91-100
81-90
71-80
61-70
51-60
Frequency
b) Find the modal interval.
c) Find the interval that contains the
median.
7. When Morgan was trying to figure out what she needed on her last test to earn a mean score
of 87 for the year, she has to take into account the 5 other tests she has taken thus far. On the
first 5 exams, she earned an 85, 88, 90, 82, and 87. What will she need on her last test to
earn an 87 for the year?
8. In the last three years the Spring Grove baseball team has an average of 12 wins a year. If in
the next year they won 20 games, what is the new mean for the baseball team?
9. Over the past 5 years the Spring Grove soccer team has a median win total of 12. The win
totals for each year are as follows: 8, 11, 12, 21, and 22. If in the next year they won 18
games, what is the new median?
10. Josh had grades of 85, 92, 96, and 89 on his last four math tests. What grade does he need
on his next test to have an average of 92?
Review:
Order of Operations
11. 4 • ( 9 – 3 )2 ÷ 2 + 7
Integers:
12. In Pennsylvania, the record high temperature is 111˚ F and the record low temperature is -42˚ F. What
is the difference between the record high and the record low temperatures?