Math  /  Data & Statistics

QuestionThe table shows some information about the profit made each day at a cricket club on 100 days. (a) Complete the cumulative frequency table. \begin{tabular}{|c|c|} \hline Pront (£x) & \begin{tabular}{c} Crmulative \\ frequency \end{tabular} \\ \hline 0x<500 \leq x<50 & \\ \hline 0x<1000 \leq x<100 & \\ \hline 0x<1500 \leq x<150 & \\ \hline 0x<2000 \leq x<200 & \\ \hline 0x<2500 \leq x<250 & \\ \hline 0x<3000 \leq x<300 & \\ \hline \end{tabular} (b) On the grid, draw a cumulative frequency graph for this information. \begin{tabular}{|c|c|} \hline Proft ( £x)£ x) & Frequency \\ \hline 0x<500 \leq x<50 & 10 \\ \hline 50x<10050 \leq x<100 & 15 \\ \hline 100x<150100 \leq x<150 & 25 \\ \hline 150x<200150 \leq x<200 & 30 \\ \hline 200x<250200 \leq x<250 & 5 \\ \hline 250x<300250 \leq x<300 & 15 \\ \hline \end{tabular} (1) (2) (c) Use your graph to find an estimate for the number of days on which the profit was less than £125£ 125 days \qquad (d) Use your graph to find an estimate for the interquartile range.

Studdy Solution
Estimate the interquartile range:
- Find Q1 (25th percentile) and Q3 (75th percentile) from the graph. - Subtract Q1 from Q3 to find the interquartile range.
The cumulative frequency table is completed, and the graph is drawn. Use the graph to estimate the number of days with profit less than £125 and the interquartile range.

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