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Which statement about the interquartile range is correct?Select one:a.Like the mean, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygonb.Like the median, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyc.Like the mean, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyd.Like the median, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygon

Question

Which statement about the interquartile range is correct?Select one:a.Like the mean, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygonb.Like the median, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyc.Like the mean, the IQR is not influenced by extreme values. So, it is another useful measure of central tendencyd.Like the median, the IQR is influenced by extreme values. So, it is not a useful measure of central tendency polygon

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Solution

The correct answer is:

b. Like the median, the IQR (Interquartile Range) is not influenced by extreme values. So, it is another useful measure of central tendency.

The IQR is a measure of statistical dispersion, or how far apart the data points in a data set are. It is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1). Because it only considers the middle 50% of the data, it is not influenced by extreme values (outliers). Therefore, it is a useful measure of central tendency, especially for skewed distributions.

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Similar Questions

The Interquartile Range (IQR), a fundamental measure in Descriptive Statistics, is best described as:  A. The difference between the highest and lowest values in a dataset.  B. The variance between the mean and the median of a dataset.  C. The gap between the upper (Q3) and lower quartile (Q1) of a dataset.  D. The summation of the dataset's upper (Q3) and lower quartile (Q1).

Which statement is the most appropriate comparison of the spreads?A.The interquartile range (IQR) for town A, 45°, is less than the IQR for town B, 50°.B.The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°.C.The standard deviation for town A, 15°, is less than the standard deviation for town B, 20°.D.The interquartile ranges (IQRs) for towns A and B are both 30°.

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