The problem provides a table showing the heights (in cm) of 37 basketball players and the number of players with each height. The goal is to calculate the mean height of the players, rounded to one decimal place.

1. Problem Description

The problem provides a table showing the heights (in cm) of 37 basketball players and the number of players with each height. The goal is to calculate the mean height of the players, rounded to one decimal place.

2. Solution Steps

First, we calculate the sum of the heights of all the players. We do this by multiplying each height by the number of players with that height and then adding up the results.

Sum of heights = $(160 \times 4) + (161 \times 6) + (162 \times 3) + (163 \times 7) + (164 \times 8) + (165 \times 9)$

Sum of heights = $640 + 966 + 486 + 1141 + 1312 + 1485 = 6030$

Next, we calculate the mean height by dividing the sum of heights by the total number of players.

Mean height = $\frac{\text{Sum of heights}}{\text{Total number of players}}$

Mean height = $\frac{6030}{37} \approx 162.97297...$

Finally, we round the mean height to one decimal place.

Mean height $\approx 163.0$

3. Final Answer

A. 163.0