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The heights of 10 girls are measured (in...

The heights of 10 girls are measured (in cm) and the results are as follow
143, 148, 135, 150, 128, 139, 149, 146, 151, 132.
The mean height (in cm) of girls is

A

`141.1 `

B

`142.1 `

C

`143.1 `

D

`140.2 `

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean height of the 10 girls, we will follow these steps: ### Step 1: List the heights The heights of the 10 girls are: - 143 cm - 148 cm - 135 cm - 150 cm - 128 cm - 139 cm - 149 cm - 146 cm - 151 cm - 132 cm ### Step 2: Calculate the sum of the heights We will add all the heights together. \[ \text{Sum} = 143 + 148 + 135 + 150 + 128 + 139 + 149 + 146 + 151 + 132 \] ### Step 3: Perform the addition Calculating the sum step by step: - \(143 + 148 = 291\) - \(291 + 135 = 426\) - \(426 + 150 = 576\) - \(576 + 128 = 704\) - \(704 + 139 = 843\) - \(843 + 149 = 992\) - \(992 + 146 = 1138\) - \(1138 + 151 = 1289\) - \(1289 + 132 = 1421\) So, the total sum of the heights is \(1421\) cm. ### Step 4: Count the number of girls The number of girls is given as \(10\). ### Step 5: Calculate the mean To find the mean, we divide the total sum of the heights by the number of girls. \[ \text{Mean} = \frac{\text{Sum}}{\text{Number of girls}} = \frac{1421}{10} = 142.1 \text{ cm} \] ### Final Answer The mean height of the girls is \(142.1\) cm. ---
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