The number of hours different employees worked last week are listed below. 32, 35, 35, 39, 42, 43, 43, 45, 46, 48, 50, 50 Which histogram best represents the data?
We can create a histogram by grouping the hours worked into bins and counting the frequency of each bin.
Let's group the hours worked into bins of 5. The bins will be: 30-34, 35-39, 40-44, 45-49, and 50-54.
Counting the frequency of each bin, we have:
30-34: 0 employees
35-39: 4 employees
40-44: 3 employees
45-49: 3 employees
50-54: 2 employees
Based on this frequency distribution, the histogram that best represents the data is:
Frequency
||||
4 || 4
3 || 3
||||
0 30 35 40 45 50 55
Hours
What is the answer
The correct answer would be the histogram representation provided in the previous response.
To determine which histogram best represents the given data, we need to consider the frequency of each data point (number of occurrences) and create a histogram accordingly.
First, let's sort the data in ascending order:
32, 35, 35, 39, 42, 43, 43, 45, 46, 48, 50, 50
Next, let's count the frequency of each data point:
32 appears once
35 appears twice
39 appears once
42 appears once
43 appears twice
45 appears once
46 appears once
48 appears once
50 appears twice
Now, we can create the histogram:
32: |
35: ||
39: |
42: |
43: ||
45: |
46: |
48: |
50: ||
Each vertical bar represents the frequency of a particular number. The height of the bar corresponds to the frequency of that number.
So, the histogram that best represents the data is:
32: |
35: ||
39: |
42: |
43: ||
45: |
46: |
48: |
50: ||