Pregunta
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A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses. \[ 18,14,18,9,18 \] Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth.

Ask by Howell Bartlett. in the United States
Mar 14,2025

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Median: 18 Mean: 15.4

Solución

To find the median and mean number of hours watched by the students, we will follow these steps: ### Step 1: Calculate the Median The median is the middle value when the numbers are arranged in ascending order. 1. **Arrange the data in ascending order:** \[ 9, 14, 18, 18, 18 \] 2. **Find the middle value:** Since there are 5 numbers (an odd count), the median is the third number in the ordered list. \[ \text{Median} = 18 \] ### Step 2: Calculate the Mean The mean is calculated by summing all the values and dividing by the number of values. 1. **Sum the values:** \[ 9 + 14 + 18 + 18 + 18 = 77 \] 2. **Divide by the number of values (5):** \[ \text{Mean} = \frac{77}{5} = 15.4 \] ### Final Results - **Median:** 18 - **Mean:** 15.4 Thus, the median number of hours is 18, and the mean number of hours is 15.4.

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Beyond the Answer

To find the median, we first need to arrange the responses in ascending order: \[ 9, 14, 18, 18, 18 \] Since there are five responses (an odd number), the median is the middle value, which is the third number: **Median = 18 hours.** Next, to calculate the mean, we add all the hours together and then divide by the number of responses: \( 9 + 14 + 18 + 18 + 18 = 77 \) Now, divide by 5: \(\frac{77}{5} = 15.4\) **Mean = 15.4 hours.**

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