1. **State the problem:** We are given the runs scored by cricket team A: 2, 3, 4, 6, 21, 26, 27, 32, 34, 61, 72. The interquartile range (IQR) of runs scored by cricket team B is 42. We need to compare the runs scored by team A and team B using a suitable calculation. 2. **Calculate the IQR for team A:** - First, order the data (already ordered): 2, 3, 4, 6, 21, 26, 27, 32, 34, 61, 72. - Number of data points, $n=11$. - Median (Q2) is the 6th value: $26$. - Lower quartile (Q1) is the median of the lower half (first 5 values): 2, 3, 4, 6, 21. Median of these is the 3rd value: $4$. - Upper quartile (Q3) is the median of the upper half (last 5 values): 27, 32, 34, 61, 72. Median of these is the 3rd value: $34$. - Calculate IQR for team A: $$\text{IQR}_A = Q3 - Q1 = 34 - 4 = 30$$ 3. **Compare with team B's IQR:** - Team B's IQR is given as 42. - Since $\text{IQR}_B = 42$ is greater than $\text{IQR}_A = 30$, team B's runs are more spread out than team A's. 4. **Write the comparison:** "The interquartile range of runs scored by team B (42) is greater than that of team A (30), indicating that the runs scored by team B are more variable or spread out than those of team A."