Mathematics
Grade6
Easy
Question
An amusement park recorded the ages of the first ten people to ride a new attraction. The ages were as follows: 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16. Find the mean absolute deviation of this data set.
- 20
- 5.2
- 18
- 4.8
Hint:
Algorithm for calculating MAD:
- To find the mean absolute deviation of the data, start by finding the mean of the data set.
- Find the sum of the data values and divide the sum by the number of data values.
- Find the absolute value of the difference between each data value and the mean: |data value – mean|.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values.
The correct answer is: 5.2
Step 1 of 2:
Given the dataset, 11, 34, 16, 18, 22, 30, 18, 20, 15, and 16
The mean is = 20.76
Step 2 of 2:
MAD =
=
= 5.2
So, the MAD is 5.2
Final Answer:
The right choice is-- b. 5.2
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