Pregunta
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
Solución de inteligencia artificial de Upstudy
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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.
Respondido por UpStudy AI y revisado por un tutor profesional
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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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