Given information:

The given data set:

   Males: 110 109 90 140 105 150 120 110 110 90 115 95 145 140 110 105 85 95 100  115 124 95 100 125 140 85 120 115 105 125 102 85 120 110 120 115 94 125 80 85  140 120 92 130 125 110 90 110 110 95 95 110 105 80 100 110 130 105 105 120 90  100 105 100 120 100 100 80 100 120 105 60 125 120 100 115 95 110 101 80 112  120 110 115 125 55 90 Females: 80 75 83 80 100 100 90 75 95 85 90 85 90 90 120 85 100 120 75 85 80 70  85 110 85 75 105 95 75 70 90 70 82 85 100 90 75 90 110 80 80 110 110 95 75 130  95 110 110 80 90 105 90 110 75 100 90 110 85 90 80 80 85 50 80 100 80 80 80 95  100 90 100 95 80 80 50 88 90 90 85 70 90 30 85 85 87 85 90 85 75 90 102 80 100  95 110 80 95 90 80 90

Five number summary of the above data is given below.

   Median     Quartiles   Extremes        Males (87 Students) 110 95 120 55 150      Females  (102 Students) 89 80  95 30 130

From the five-number summary table extreme values, it can be concluded that the highest speed of males is 150 mph and the highest speed of females is 130 mph.

Hence, the fastest speed driven is 150 mph.

The five number summary table extreme values of males show that the minimum speed of a male is 55 mph.

Thus, the slowest of the "fastest speeds" driven by a male is 55 mph.

One - fourth of the women had driven at a speed or faster is the upper quartile of the data. From the five-number summary table, the cut - off point for the upper quartile is 95.

Hence, the one - fourth of the women had driven at the speed of 95 mph or faster.

In the five-number summary table, 89 mph is the median speed of females. It means that half of the females have driven at the speed of 89 mph or faster.

Hence, the proportion of females who had driven 89 mph or faster is 0.5.

In the above part it was calculated that the proportion of females who had driven 89 mph or faster is 0.5.

The total number of female students is 102.

Therefore, the number of females who had driven 89 mph or faster is,

  0.5×102=51