https://file.aiquickdraw.com/mathbot/file/17267881275720gkehjic.jpg

To solve the problem presented in the image, we need to complete two tasks:

### Task (a) Complete the frequency distribution table:
The data given is a list of average daily temperatures for Frederick, Maryland in June:
- **Temperatures**:  
  91, 84, 85, 79, 82, 77,  
  94, 87, 80, 88, 81, 90,  
  87, 82, 74, 78, 84, 90,  
  87, 83, 73, 78, 84, 75,  
  81, 85, 70, 83

The temperature ranges provided are:
- 70-74
- 75-79
- 80-84
- 85-89
- 90-94

We'll count how many values fall into each range (frequency) and then calculate the **relative frequency** as follows:
\[
\text{Relative Frequency} = \frac{\text{Frequency}}{\text{Total Number of Values}}
\]
We’ll round the relative frequency to two decimal places.

### Task (b) Identify the correct histogram:
We need to count the frequencies from part (a) and match them to the histogram that represents these values.

Let me compute the frequency and relative frequency for you.### Task (a) Frequency Distribution and Relative Frequencies:

| Temperature Range | Frequency | Relative Frequency |
|-------------------|-----------|--------------------|
| 70-74             | 3         | 0.11               |
| 75-79             | 5         | 0.18               |
| 80-84             | 10        | 0.36               |
| 85-89             | 6         | 0.21               |
| 90-94             | 4         | 0.14               |

### Task (b) Histogram:
The histogram should reflect these frequencies:
- **70-74**: 3
- **75-79**: 5
- **80-84**: 10
- **85-89**: 6
- **90-94**: 4

The correct histogram would display these frequencies as bars corresponding to the temperature ranges.

Would you like a detailed explanation of the histogram, or do you have any questions?

Here are five questions related to this topic:
1. How do you calculate the cumulative frequency from a frequency table?
2. What is the significance of relative frequency in statistics?
3. How can histograms help visualize data distribution?
4. What are some other graphical representations of frequency distributions?
5. How can we determine whether the data is skewed based on the histogram?

**Tip:** When analyzing a frequency distribution, it’s helpful to compute the cumulative frequencies to understand the progression of the data.

The following is the average daily temperature for Frederick, Maryland for the month of June. Round relative frequencies to two decimal places. (a) Complete the frequency distribution for the data. (b) Which of the following is the correct histogram for this data?

Complete the frequency distribution and relative frequency calculation for average daily temperatures in Frederick, Maryland, and match the data with the correct histogram. This solution includes frequency distribution for temperatures, calculation of relative frequencies, and visualizing the distribution using a histogram.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation