Question

the heights of basketball players, in inches, on two different teams is given in the data.
champs: {66, 63, 65, 64, 58, 66, 63, 65, 64, 58, 66, 63, 65, 64, 58}
all stars: {60, 70, 67, 70, 65, 69, 60, 58, 75, 67, 62, 68, 70, 66, 69}
using the correct measure of center, which team typically has the tallest players?
the champs, with a mean of approximately 63.2 inches
the champs, with a median of 64 inches
the all stars, with a mean of approximately 66.4 inches
the all stars, with a median of 67 inches

Explanation:

Step1: Calculate Champs' mean

Sum of Champs' heights: $66+63+65+64+58+66+63+65+64+58+66+63+65+64+58 = 948$
Number of players: $15$
Mean: $\frac{948}{15}=63.2$ inches

Step2: Calculate All Stars' mean

Sum of All Stars' heights: $60+70+67+70+65+69+60+58+75+67+62+68+70+66+69 = 996$
Number of players: $15$
Mean: $\frac{996}{15}=66.4$ inches

Step3: Compare measures of center

The mean is a suitable measure of center here (no extreme outliers skewing data). The All Stars have a higher mean, and we can also verify the median for confirmation:
Sorted Champs: $\{58,58,58,63,63,63,64,64,64,65,65,65,66,66,66\}$, median = 64 inches
Sorted All Stars: $\{58,60,60,62,65,66,67,67,68,69,69,70,70,70,75\}$, median = 67 inches
Both mean and median show All Stars are taller.

Answer:

The All Stars, with a mean of approximately 66.4 inches