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If the mean height of 12 men is 1.70 m a...

If the mean height of 12 men is 1.70 m and the mean height 8 of women is 1.60 m, then the total height of 8 women in meters is

A

12.9

B

12.8

C

12.4

D

13

Text Solution

AI Generated Solution

The correct Answer is:
To find the total height of 8 women given their mean height, we can follow these steps: ### Step 1: Understand the concept of mean The mean height is calculated by dividing the total height by the number of individuals. In this case, the mean height of the 8 women is given as 1.60 m. ### Step 2: Use the formula for mean The formula for mean is: \[ \text{Mean} = \frac{\text{Total Height}}{\text{Number of Individuals}} \] We can rearrange this formula to find the total height: \[ \text{Total Height} = \text{Mean} \times \text{Number of Individuals} \] ### Step 3: Substitute the values We know: - Mean height of women = 1.60 m - Number of women = 8 Now, we can substitute these values into the formula: \[ \text{Total Height} = 1.60 \, \text{m} \times 8 \] ### Step 4: Calculate the total height Now, perform the multiplication: \[ \text{Total Height} = 1.60 \times 8 = 12.8 \, \text{m} \] ### Conclusion The total height of the 8 women is 12.8 meters. ---
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