Pregunta
The 5 students in Mr. Campbell's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered. 16, 12,8,6,10 If necessary, round your answers to the nearest tenth. (a) Median: \( \square \) minutes (b) Mean:
Ask by Graham Dawson. in the United States
Mar 12,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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(a) Median: 10 minutes
(b) Mean: 10.4 minutes
Solución
To solve for the median and mean of the given data set, we will follow these steps:
### Given Data
The times taken by the 5 students to get to school are:
\[ 16, 12, 8, 6, 10 \]
### Step 1: Calculate the Median
1. **Sort the data in ascending order**:
\[ 6, 8, 10, 12, 16 \]
2. **Find the median**:
- Since there are 5 numbers (an odd count), the median is the middle number.
- The middle number in the sorted list is the 3rd number.
Thus, the median is:
\[ \text{Median} = 10 \text{ minutes} \]
### Step 2: Calculate the Mean
1. **Sum the data**:
\[
6 + 8 + 10 + 12 + 16 = 52
\]
2. **Divide the sum by the number of students**:
\[
\text{Mean} = \frac{52}{5} = 10.4
\]
### Final Answers
(a) Median: \( 10 \) minutes
(b) Mean: \( 10.4 \) minutes
Respondido por UpStudy AI y revisado por un tutor profesional
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Beyond the Answer
To find the median, first arrange the times in ascending order: 6, 8, 10, 12, 16. The median is the middle value, so for this set of 5 numbers, the median is 10 minutes. For the mean, add all the times together: \( 6 + 8 + 10 + 12 + 16 = 52 \) minutes. Then divide by the number of students: \( \frac{52}{5} = 10.4 \) minutes. (a) Median: 10 minutes (b) Mean: 10.4 minutes

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