The number of gramis of fiber eaten in one day for a sample of ten people are \[ \begin{array}{llllllllll} 7 & 7 & 15 & 18 & 20 & 23 & 25 & 29 & 32 & 132 \end{array} \] Part 1 (a) Find the mean and the mefian for these data. Entertheeract answers: \[ \text { Mean }= \] \( \square \) Median = \( \square \)
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To find the mean and median of the given fiber intake data, let's start with the calculations. For mean: First, we need to sum all the values and then divide by the total number of observations. \[ 7 + 7 + 15 + 18 + 20 + 23 + 25 + 29 + 32 + 132 = 332 \] The number of data points is 10. Therefore, the mean is: \[ \text{Mean} = \frac{332}{10} = 33.2 \] For the median: To find the median, we first arrange the data in ascending order: \[ 7, 7, 15, 18, 20, 23, 25, 29, 32, 132 \] Since there are 10 numbers (an even count), the median will be the average of the 5th and 6th numbers: 5th number = 20 6th number = 23 \[ \text{Median} = \frac{20 + 23}{2} = 21.5 \] Therefore, the answers are: Mean = \( 33.2 \) Median = \( 21.5 \)