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
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.
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°.
The interquartile range (IQR) is defined to be the difference between the two quartile values.TrueFalse
The measure of central tendency best-suited for data on a nominal scale is the: mean mode median interquartile range
In a box plot, what does the interquartile range (IQR) represent?Question 5Answera.Range of the middle 50% of the datab.Sum of the first and third quartilesc.Difference between the maximum and minimum valuesd.Average of all data points
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.