Question

A five-number summary for the fastest ever driving speeds reported by a sample of 102 women was: 30, 80, 89, 95, 130.

A. What is the IQR of these data?

Answer 1

The Interquartile Range (IQR) for the given data set is 15, calculated by subtracting the first quartile (80) from the third quartile (95).

Step-by-step explanation:

The question asks for the Interquartile Range (IQR) of a data set, which is the difference between the third quartile (Q3) and the first quartile (Q1). The given five-number summary for the fastest driving speeds reported by a sample of 102 women is 30, 80, 89, 95, 130. From this summary, the first quartile is 80 and the third quartile is 95. To calculate the IQR:

1. Locate the first quartile (Q1), which is 80.
2. Locate the third quartile (Q3), which is 95.
3. Subtract Q1 from Q3 to find the IQR: IQR = Q3 - Q1 = 95 - 80 = 15.

The IQR for these data is 15.