Calculation:

The first quartile \(Q_{1}\), is the value such that 25% of the observations are smaller and 75% are larger.

The second quartile \(Q_{2}\) is the value such that 50% of the observations are smaller and 50% are larger which is also called as the median.

The third quartile \(Q_{3}\), is the value such that 75% of the observations are smaller and 25% are larger.

The interquartile range is given below:

\(IQR=Q_{3}-Q_{1}\)

\(=297.5-285.2=12.3\)

Thus, middle 50% of the distribution with distance of the balls lies between the distance of 285.2 yards and 279.5 yards and that interquartile range as 12.3 yards.

The first quartile \(Q_{1}\), is the value such that 25% of the observations are smaller and 75% are larger.

The second quartile \(Q_{2}\) is the value such that 50% of the observations are smaller and 50% are larger which is also called as the median.

The third quartile \(Q_{3}\), is the value such that 75% of the observations are smaller and 25% are larger.

The interquartile range is given below:

\(IQR=Q_{3}-Q_{1}\)

\(=297.5-285.2=12.3\)

Thus, middle 50% of the distribution with distance of the balls lies between the distance of 285.2 yards and 279.5 yards and that interquartile range as 12.3 yards.