Question

which of the following statements is true about the iqr, range, and standard deviation?
the iqr is the least resistant to extreme values.
the iqr is the most resistant to extreme values.
the range is the most resistant to extreme values.
the standard deviation is the most resistant to extreme values.

Explanation:

The range is calculated as the difference between the maximum and minimum values, so it is highly affected by extreme values. The standard - deviation is also influenced by extreme values as it measures the dispersion of all data points from the mean. The inter - quartile range (IQR) is the difference between the third quartile and the first quartile, focusing on the middle 50% of the data, making it most resistant to extreme values.

Answer:

The IQR is the most resistant to extreme values.