3. mark recorded heights of basketball players from both teams. marks team heights were: {50,48,52,56,49,58,6…

Explanation:

Step1: Sort Mark's team heights

Sort the heights of Mark's team ({48,49,50,52,56,58,60}). Since there are (n = 7) data - points, the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{7+1}{2}=4) - th value. So the median of Mark's team is (52).

Step2: Sort opposing team heights

Sort the heights of the opposing team ({48,50,52,55,55,59,62}). Since (n = 7), the median is the (\left(\frac{n + 1}{2}\right))-th value. (\frac{7 + 1}{2}=4) - th value. So the median of the opposing team is (55).

Step3: Calculate IQR for Mark's team

For Mark's team, the lower half of the data ({48,49,50}), the first - quartile (Q_1) is the median of the lower half. Since (n = 3), (Q_1=49). The upper half of the data ({56,58,60}), the third - quartile (Q_3) is the median of the upper half. Since (n = 3), (Q_3=58). The IQR for Mark's team is (IQR_1=Q_3 - Q_1=58 - 49 = 9).

Step4: Calculate IQR for opposing team

For the opposing team, the lower half of the data ({48,50,52}), (Q_1 = 50). The upper half of the data ({55,59,62}), (Q_3=59). The IQR for the opposing team is (IQR_2=Q_3 - Q_1=59 - 50 = 9).

Answer:

Which team had a higher median height? Opposing team Which team had a greater IQR? Neither team (both have an IQR of 9)