Questions: Iris weighed 5 large watermelons from her garden. Here are the weights in pounds. 17, 11, 12, 24, 22 What is the mean weight of the watermelons? a. 11 pounds b. 24 pounds c. 21 pounds d. 19 pounds

Solution Steps

To find the mean weight of the watermelons, we first calculate the sum of their weights. The weights are given as follows: \[ x_1 = 17, \quad x_2 = 11, \quad x_3 = 21, \quad x_4 = 24, \quad x_5 = 22 \] The sum of the weights is: \[ \sum_{i=1}^5 x_i = 17 + 11 + 21 + 24 + 22 = 95 \]

The mean \( \mu \) is calculated using the formula: \[ \mu = \frac{\sum_{i=1}^N x_i}{N} \] where \( N \) is the number of watermelons. In this case, \( N = 5 \). Thus, we have: \[ \mu = \frac{95}{5} = 19.0 \]

Final Answer