Mathematics
Grade6
Easy
Question
Name the measure of variability that best represents this set of data:
3, 18, 2, 0, 1, 0, 2, 1
- MAD
- IQR
- Mode
- Range
Hint:
The measure of variability tells about the spread of data from the central tendency of the dataset.
The correct answer is: IQR
Step 1 of 2:
Given the dataset, 3, 18, 2, 0, 1, 0, 2, 1
The data that is different from other numbers in the given set is 18.
So, there is an outlier present in the dataset and it is 18.
Step 2 of 2:
Now, the IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first, find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Hence, use the IQR when the median is the appropriate measure of center.
Final Answer:
The right choice is-- a. IQR
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