Question

question 1 (multiple choice worth 2 points) (comparing data mc) the tables represent hat sizes measured in inches for two baseball teams. cougars: 23.5 22 22.5 21 21.5 22 23.5 24 22 24.5 24 22 21 23 22 panthers: 24 23 20.5 21 22.5 22 22.5 21.5 24 20 24.5 21 23 22 23.5 which team has the largest overall size hat for their players? determine the best measure of center to compare and explain your answer. o cougars; they have a larger mean value of about 22.6 inches o panthers; they have a larger mean value of about 22 inches o cougars; they have a larger median value of 22 inches o panthers; they have a larger median value of 22.5 inches

Explanation:

Step1: Calculate the mean for Cougars

Sum of Cougars' data: $23.5 + 22+22.5 + 21+21.5+22+23.5+24+22+24.5+24+22+21+23+22=\sum_{i = 1}^{15}x_{i}=339$. Mean $\bar{x}_{1}=\frac{339}{15}=22.6$.

Step2: Calculate the mean for Panthers

Sum of Panthers' data: $24+23+20.5+21+22.5+22+22.5+21.5+24+20+24.5+21+23+22+23.5=\sum_{i = 1}^{15}y_{i}=325$. Mean $\bar{y}_{1}=\frac{325}{15}\approx21.67$.

Step3: Calculate the median for Cougars

Arrange Cougars' data in ascending - order: $21,21,21.5,22,22,22,22,22.5,23,23.5,23.5,24,24,24,24.5$. Since $n = 15$ (odd), median $M_{1}=22.5$.

Step4: Calculate the median for Panthers

Arrange Panthers' data in ascending - order: $20,20.5,21,21,21.5,22,22,22.5,22.5,23,23,23.5,24,24,24.5$. Since $n = 15$ (odd), median $M_{2}=22.5$.

The Cougars have a larger mean value of about $22.6$ inches.

Answer:

Cougars; they have a larger mean value of about 22.6 inches