Questions: A pet store has 8 cats. Here are their weights (in pounds). 16, 16, 15, 14, 5, 8, 6, 5 Find the mean weight of these cats. If necessary, round your answer to the nearest tenth. pounds

Solution Steps

To find the mean weight of the cats, we first calculate the sum of their weights. The weights of the cats are given as follows: \[ x_1 = 16, \quad x_2 = 16, \quad x_3 = 15, \quad x_4 = 14, \quad x_5 = 5, \quad x_6 = 8, \quad x_7 = 6, \quad x_8 = 5 \] The sum of the weights is: \[ \sum_{i=1}^8 x_i = 16 + 16 + 15 + 14 + 5 + 8 + 6 + 5 = 85 \]

The total number of cats is: \[ N = 8 \]

The mean weight \( \mu \) is calculated using the formula: \[ \mu = \frac{\sum_{i=1}^N x_i}{N} = \frac{85}{8} = 10.625 \] Rounding to the nearest tenth, we find: \[ \mu \approx 10.6 \]

Final Answer