question: 2. a baseball team scored the following number of runs during their first 10 games: 0, 2, 3, 5, 5…

question: 2. a baseball team scored the following number of runs during their first 10 games: 0, 2, 3, 5, 5, 6, 8, 9, 10, 10. what is the interquartile range for this set of data? a. 5.5 b. 6.0

question: 2. a baseball team scored the following number of runs during their first 10 games: 0, 2, 3, 5, 5, 6, 8, 9, 10, 10. what is the interquartile range for this set of data? a. 5.5 b. 6.0

Answer

Explanation:

Step1: Arrange data in ascending order

The data set is (0,2,3,5,5,6,8,9,10,10). It is already in ascending - order.

Step2: Find the first quartile (Q_1)

The position of (Q_1) for (n = 10) data points is (i=\frac{n + 1}{4}=\frac{10+1}{4}=2.75). So, (Q_1=2+(3 - 2)\times0.75 = 2.75).

Step3: Find the third quartile (Q_3)

The position of (Q_3) is (i = 3\times\frac{n + 1}{4}=3\times\frac{10 + 1}{4}=8.25). So, (Q_3=9+(10 - 9)\times0.25=9.25).

Step4: Calculate the inter - quartile range (IQR)

(IQR=Q_3 - Q_1=9.25-2.75 = 6.5)

Answer:

There is no correct option provided as the calculated inter - quartile range is (6.5) and the options are A. (5.5) and B. (6.0).