Question

The graph below shows the percentage of winners of a horse race that have run slower than a given speed. Complete parts a through e to the right 1001 90- 30- 70- 604 50 404 304 204 1071 ot 30 31 32 33 34 35 36 37 38 Winning Speed a) Estimate the median winning speed. The median winning speed is mph. (Round to one decimal place as needed) b) Estimate the quartiles The lower quartile is mph (Round to one decimal place as needed) The upper quartie is mph (Round to one decimal place as needed c) Estimate the range and the IQR. The range is mph (Round to one decimal place as needed) The IQR is mph

Answer 1

SOL:-

A) Estimate the median winning speed. :-

To find the median winning speed, we have to find the number of the graph which lines up with 50%.

So the answer is 36 miles per hour.

(B) Estimate the quartiles: lower and higher :-

From the graph, To find Lower quarties , we find the number that lines up with 25%, which is 34.5mph and

for the higher Quarties , we find the number that lines up with 75% on the graph, which is 36.7 mph.

(C) Estimate the range and the IQR :-

The range is 7 mph from 31-38 mph.

The IQR = Q3-Q1 =

That means 36.7 - 34.5 = 2.2 mph

D) Boxplot of these speed :-

OPTION 'B' IS CORRECT