Concept explainers
To Find: To find the data whose mean absolute deviation is 5.
Answer to Problem 11HP
Conducting a test of 5 students in two different days
Explanation of Solution
Given information:Given mean absolute deviation is 5.
Formula used: For Mean:
Calculation:
Let
2.5 | 5 | 10 | 15 | 17.5 | |||||
0 | 7.5 | 12.5 | 13 | 17 |
Calculation of Mean
Similarly,
Thus, the average score in both the months are 104 and 125 respectively.
Now, calculation of mean absolute deviation
2.5 | 7.5 | 0 | 10 | ||
5 | 5 | 7.5 | 2.5 | ||
10 | 0 | 12.5 | 2.5 | ||
15 | 5 | 13 | 3 | ||
17.5 | 7.5 | 17 | 7 |
And
Thus, mean absolute deviation is 5 in both situations
Hence, the required data satisfies the given conditions.
Chapter 10 Solutions
Glencoe Math Accelerated, Student Edition
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