Question

Statistics Unit Test
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Question
Use the table to answer the question.

This table displays the temperatures recorded for each day of the week.
Day of the Week Temperature
Sunday 45 degrees
Monday 52 degrees
Tuesday 44 degrees
Wednesday 62 degrees
Thursday 55 degrees
Friday 49 degrees
Saturday 50 degrees
Find the mean and median of the past week’s temperatures.

(1 point)
During the week, the mean temperature was
degrees.
During the week, the median temperature was
degrees.
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Answer 1

To find the mean and median of the temperatures recorded for each day of the week, we will go through the calculations step by step.

### Given Temperatures:
- Sunday: 45 degrees
- Monday: 52 degrees
- Tuesday: 44 degrees
- Wednesday: 62 degrees
- Thursday: 55 degrees
- Friday: 49 degrees
- Saturday: 50 degrees

### Step 1: Calculate the Mean

The mean is calculated by adding all the temperatures together and then dividing by the number of days.

1. **Sum of temperatures:**
\[
45 + 52 + 44 + 62 + 55 + 49 + 50 = 357
\]

2. **Number of days:**
There are 7 days in the week.

3. **Mean temperature:**
\[
\text{Mean} = \frac{\text{Sum of temperatures}}{\text{Number of days}} = \frac{357}{7} = 51
\]

### Step 2: Calculate the Median

The median is the middle value when the numbers are arranged in order.

1. **Arrange the temperatures in ascending order:**
- 44, 45, 49, 50, 52, 55, 62

2. **Find the middle value:**
Since there are 7 data points (an odd number), the median is the 4th value in the ordered list.

- Ordered temperatures: 44, 45, 49, **50**, 52, 55, 62
- The median temperature is 50 degrees.

### Summary of Results
- **Mean Temperature:** 51 degrees
- **Median Temperature:** 50 degrees

### Final Answer:
- During the week, the mean temperature was **51 degrees**.
- During the week, the median temperature was **50 degrees**.