The frequency table shows the number of hours that students in a class volunteered per month. On a piece of paper, draw a dot plot to represent the data. Then determine which answer choice matches the dot plot you drew.
| Hours | Frequency |
|---|---|
| 3 | 5 |
| 5 | 3 |
| 8 | 7 |
| 10 | 4 |
| 13 | 2 |
Answer (1)
Create a dot plot with the x-axis representing the hours volunteered (3, 5, 8, 10, 13).
Place dots above each hour value according to its frequency: 5 dots for 3 hours, 3 dots for 5 hours, 7 dots for 8 hours, 4 dots for 10 hours, and 2 dots for 13 hours.
Select the answer choice that matches the described dot plot.
The correct dot plot visually represents the frequency of each hour value.
Explanation
Understand the problem We are given a frequency table that shows the number of hours students volunteered per month. Our goal is to represent this data in a dot plot and determine which answer choice matches the dot plot.
Analyze the data The frequency table provides the following data:
3 hours: 5 students
5 hours: 3 students
8 hours: 7 students
10 hours: 4 students
13 hours: 2 students
Create the dot plot To create the dot plot, we'll have the x-axis representing the hours volunteered (3, 5, 8, 10, 13). For each hour value, we'll place a number of dots equal to the frequency.
Place the dots
For 3 hours, we place 5 dots.
For 5 hours, we place 3 dots.
For 8 hours, we place 7 dots.
For 10 hours, we place 4 dots.
For 13 hours, we place 2 dots.
Determine the matching answer choice Based on the dot plot we've created, we need to choose the answer choice that matches this representation.
Describe the dot plot characteristics The dot plot should have the following characteristics:
At 3 hours, there are 5 dots.
At 5 hours, there are 3 dots.
At 8 hours, there are 7 dots.
At 10 hours, there are 4 dots.
At 13 hours, there are 2 dots.
Final Answer Without the actual answer choices, I can't definitively pick one. However, the correct answer choice will be the dot plot that accurately represents the frequencies for each hour value as described above.
Examples
Dot plots are useful for visualizing the distribution of data, such as the number of hours students volunteer. In real life, you might use a dot plot to track the number of customers visiting a store each day, the number of defects found in a manufacturing process, or the number of goals scored by a sports team in each game. This helps in identifying patterns and making informed decisions based on the data.
