Question

Listed below are the daily temperatures in Fahrenheit for two different locations.

Week 1: 78 82 75 64 77
Week 2: 76 61 75 63 79

What is the difference between the means of the temperatures recorded for the two weeks?

Write the answer as a decimal.

Answer 1

To find the difference between the means of the temperatures recorded for the two weeks, we first need to calculate the average (mean) temperature for each week.

**Week 1 Temperatures:**
- 78, 82, 75, 64, 77

**Calculating the mean for Week 1:**
\[
\text{Mean}_1 = \frac{78 + 82 + 75 + 64 + 77}{5}
\]
\[
= \frac{376}{5} = 75.2
\]

**Week 2 Temperatures:**
- 76, 61, 75, 63, 79

**Calculating the mean for Week 2:**
\[
\text{Mean}_2 = \frac{76 + 61 + 75 + 63 + 79}{5}
\]
\[
= \frac{354}{5} = 70.8
\]

**Now, we find the difference between the means:**
\[
\text{Difference} = \text{Mean}_1 - \text{Mean}_2
\]
\[
= 75.2 - 70.8 = 4.4
\]

Thus, the difference between the means of the temperatures recorded for the two weeks is **4.4**.