35 a coach compared the heights of the players on two different teams. the data set is shown in the table…

35 a coach compared the heights of the players on two different teams. the data set is shown in the table below. heights of players on two teams team a player heights (inches) 76 68 73 65 60 63 69 76 team b player heights (inches) 63 73 64 70 70 67 75 62 based on these data, which statement is true? a the mean height of the players on team b is greater than the mean height of the players on team a. b the mean height of the players on team a is greater than the mean height of the players on team b. c the median height of the players on team b is greater than the median height of the players on team a. d the median height of the players on team a is greater than the median height of the players on team b.

35 a coach compared the heights of the players on two different teams. the data set is shown in the table below. heights of players on two teams team a player heights (inches) 76 68 73 65 60 63 69 76 team b player heights (inches) 63 73 64 70 70 67 75 62 based on these data, which statement is true? a the mean height of the players on team b is greater than the mean height of the players on team a. b the mean height of the players on team a is greater than the mean height of the players on team b. c the median height of the players on team b is greater than the median height of the players on team a. d the median height of the players on team a is greater than the median height of the players on team b.

Answer

Explanation:

Step 1: Calculate mean height for Team A

Sum of heights: (60 + 63 + 65 + 68 + 69 + 73 + 76 + 76 = 550)
Mean: (\frac{550}{8} = 68.75)

Step 2: Calculate mean height for Team B

Sum of heights: (62 + 63 + 64 + 67 + 70 + 70 + 73 + 75 = 544)
Mean: (\frac{544}{8} = 68)

Step 3: Calculate median height for Team A

Sorted heights: (60, 63, 65, 68, 69, 73, 76, 76)
Median: (\frac{68 + 69}{2} = 68.5)

Step 4: Calculate median height for Team B

Sorted heights: (62, 63, 64, 67, 70, 70, 73, 75)
Median: (\frac{67 + 70}{2} = 68.5)

Step 5: Compare statements

  • Mean: (68.75 (\text{Team A}) > 68 (\text{Team B})) → Statement B is true.
  • Median: Both are (68.5) → Statements C and D are false.

Answer:

B. The mean height of the players on Team A is greater than the mean height of the players on Team B.