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Which statement is true about the distribution?

The range is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The IQR is the best measure of variability because the distribution has an outlier.

Either the IQR or the range are good measures of variability because the distribution has an outlier
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Which statement is true about the distribution? The range is the best measure of variability-example-1

2 Answers

1 vote
The answer is

The IQR is the best measure of variability because the distribution has an outlier.

Hoped I Helped I did the test
User Andykiteman
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2 votes

Answer:

(C)

Explanation:

From the given figure, we can see that 8 is an outlier which is at a very large distance from the rest of the data values that ranges between 300 to 500.

Thus, In this distribution, 8 is an outlier.

Now, In order to find the measure of variability in the distribution, if the distribution contains an outlier, then Inter Quartile range is the best measure of variability of the distribution.

Thus, The IQR is the best measure of variability because the distribution has an outlier.

Hence, option C is correct.

User Ecatmur
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7.2k points