Pregunta
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A group of 8 students was asked, "How many hours did you watch television last week?" Here are their responses. \[ 5,6,12,9,4,20,4,4 \] Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.

Ask by Harmon Watkins. in the United States
Jan 31,2025

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The mean number of hours watched is 8 hours.

Solución

To find the mean (average) number of hours the students watched television last week, follow these steps: 1. **Sum the total hours watched by all students:** \[ 5 + 6 + 12 + 9 + 4 + 20 + 4 + 4 = 64 \text{ hours} \] 2. **Count the number of students:** \[ 8 \text{ students} \] 3. **Calculate the mean:** \[ \text{Mean} = \frac{\text{Total Hours}}{\text{Number of Students}} = \frac{64}{8} = 8 \text{ hours} \] **Answer:** The mean number of hours watched is **8 hours**.

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The Deep Dive

To find the mean number of hours the students watched television, add all the hours together and then divide by the number of students. So, \( 5 + 6 + 12 + 9 + 4 + 20 + 4 + 4 = 64 \) hours total. Now divide by the number of students, which is 8: \[ \text{Mean} = \frac{64}{8} = 8 \] hours. The mean number of hours for these students is 8.0 hours when rounded to the nearest tenth. If you’re the type who enjoys watching numbers dance, you can visualize those average hours with a pie chart showing each student’s contribution to the total! It adds a visual twist to raw data and can be a fun way to engage others in discussions about their TV habits. Also, did you know that television watching habits have changed dramatically over the years? In the 1960s, the average American watched about 4 hours of TV daily, mostly of network programming. Fast forward to today, and streaming services have taken over, influencing viewing patterns—so you aren't just watching TV, you're diving into a vast ocean of choices!

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