Question

PLS HELP!! WORTH 80 POINTS!!!

The data given represents the height of basketball players, in inches, on two different girls' teams.
Super Stars
66 66 66
63 63 63
65 65 65
64 64 64
58 58 58

Champs
62 69 65
68 60 70
70 58 67
66 75 70
69 67 60


Compare the data and use the correct measure of center to determine which team typically has the tallest players. Explain your answer.
A. The Champs, with a median of 67 inches
B. The Super Stars, with a mean of about 60.8 inches
C. The Champs, with a mean of about 66.4 inches
D. The Super Stars, with a median of 63 inches

Answer 1

To determine which team typically has the tallest players, we need to compare the central tendency measures of the two data sets. We can use either the mean or median as a measure of central tendency.

First, let's calculate the mean and median for each team.

For the Super Stars:

• Mean: (66+66+66+63+63+63+65+65+65+64+64+64+58+58+58)/15 = 60.8 inches
• Median: 64 inches

For the Champs:

• Mean: (62+69+65+68+60+70+70+58+67+66+75+70+69+67+60)/15 = 66.4 inches
• Median: 67 inches

Comparing the measures of central tendency, we see that the Super Stars have a higher median than the Champs, but the Champs have a higher mean. The median is less sensitive to extreme values, while the mean is influenced by them. In this case, we don't have any extreme values that could skew the mean, so it's a reliable measure of central tendency.

Therefore, the correct answer is C. The Champs typically have the tallest players, with a mean height of about 66.4 inches.

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