The data shows the results of the women's marathon at the 2008 Olympics

MATHEMATICS · Multi-part · CBSE · Mathematics · Statistics · Statistics

Problem

The data shows the results of the women's marathon at the 2008 Olympics, for all competitors who finished the race.
Time ( tt min)Frequency
146≤t<148146 \le t < 1488
148≤t<150148 \le t < 1503
150≤t<152150 \le t < 1529
152≤t<154152 \le t < 15411
154≤t<156154 \le t < 15612
156≤t<158156 \le t < 1587
158≤t<160158 \le t < 1605
160≤t<168160 \le t < 1688
168≤t<176168 \le t < 1766
(1) Add a cumulative frequency column to the table. (2) Represent the data on a cumulative frequency graph. (3) Use your graph to estimate the: median finishing time (4) Use your graph to estimate the: number of competitors who finished in less than 155 minutes (5) Use your graph to estimate the: percentage of competitors who took more than 159 minutes to finish (6) Use your graph to estimate the: time taken by a competitor who finished in the top 20% of runners completing the marathon.

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