Pregunta
Each of the 5 cats in a pet store was weighed. Here are their weights (in pounds). \[ 5,11,12,6,13 \] Find the mean and median weights of these cats. If necessary, round your answers to the nearest tenth.
Ask by Stanley Olson. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
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The mean weight is 9.4 pounds and the median weight is 11 pounds.
Solución
To find the mean and median weights of the cats, we first need to calculate the mean and then find the median.
Given weights of the cats: 5, 11, 12, 6, 13
1. Calculate the mean:
The mean is calculated by summing all the weights and then dividing by the total number of cats.
Mean = (5 + 11 + 12 + 6 + 13) / 5
Mean = 47 / 5
Mean = 9.4
2. Calculate the median:
The median is the middle value when the weights are arranged in ascending order.
Arranging the weights in ascending order: 5, 6, 11, 12, 13
Since there are an odd number of cats (5), the median is the middle value, which is 11.
Therefore, the mean weight of the cats is 9.4 pounds and the median weight is 11 pounds.
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Extra Insights
To find the mean weight, add the weights of all the cats and divide by the number of cats: Mean weight = \(\frac{5 + 11 + 12 + 6 + 13}{5} = \frac{47}{5} = 9.4\) pounds. For the median, first, arrange the weights in ascending order: \(5, 6, 11, 12, 13\). Since there are 5 weights, the median is the middle weight, which is \(11\) pounds. So, the mean weight is **9.4 pounds** and the median weight is **11 pounds**.

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