Mathematics
Grade6
Easy
Question
Name the measure of variability that should be chosen if the mean was a good measure of center.
- MAD
- IQR
- Mode
- Median
Hint:
The measure of variability tells us about the spread of the data around any measure of central tendency. So, we can opt out of the options median and mode. Then, proceed accordingly.
The correct answer is: MAD
Step 1 of 1:
Consider, MAD, i.e., mean absolute deviation.
- 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:
.
- 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.
Use the MAD when the mean is the appropriate measure of center.
Final Answer:
The right choice is-- b. MAD
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