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The heights of 7 players in a group are ...

The heights of 7 players in a group are
175 cm, 158 cm, 180 cm, 164 cm, 182 cm, 160 cm and 171 cm. Find their mean height

A

165 cm

B

170 cm

C

133 cm

D

156 cm

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean height of the 7 players, we will follow these steps: ### Step 1: List the heights of the players. The heights of the players are: - 175 cm - 158 cm - 180 cm - 164 cm - 182 cm - 160 cm - 171 cm ### Step 2: Add all the heights together. We will add the heights: \[ 175 + 158 + 180 + 164 + 182 + 160 + 171 \] Calculating the sum: \[ 175 + 158 = 333 \\ 333 + 180 = 513 \\ 513 + 164 = 677 \\ 677 + 182 = 859 \\ 859 + 160 = 1019 \\ 1019 + 171 = 1190 \] So, the total sum of the heights is **1190 cm**. ### Step 3: Count the total number of players. The total number of players is **7**. ### Step 4: Calculate the mean. To find the mean, we will divide the total sum of the heights by the number of players: \[ \text{Mean} = \frac{\text{Total Sum of Heights}}{\text{Number of Players}} = \frac{1190}{7} \] Calculating the division: \[ 1190 \div 7 = 170 \] ### Final Answer: The mean height of the players is **170 cm**. ---
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