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?
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Question
The ages of employees at a company are shown below.
25, 26, 26, 26, 27, 27, 27, 28, 28, 33, 35
Which box and whisker plot best represents these data?
Responses
A
Employees' Ages
Employees' Ages Image with alt text:
B
Employees' Ages
Employees' Ages Image with alt text:
C
Employees' Ages
Employees' Ages Image with alt text:
D
Employees' Ages
Employees' Ages Image with alt text:
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2 of 92 of 9 Items
04:47
Skip to resources
Question
The ages of employees at a company are shown below.
25, 26, 26, 26, 27, 27, 27, 28, 28, 33, 35
Which box and whisker plot best represents these data?
Responses
A
Employees' Ages
Employees' Ages Image with alt text:
B
Employees' Ages
Employees' Ages Image with alt text:
C
Employees' Ages
Employees' Ages Image with alt text:
D
Employees' Ages
Without the images attached, I cannot accurately determine which box and whisker plot best represents the given data. Please provide the images or provide a description of the plots for me to analyze and provide an answer.
To determine the best histogram that represents the given data, we need to construct a histogram using the frequency of each data point.
First, let's find the range of the data, which is the difference between the largest and smallest values. In this case, the largest value is 50, and the smallest value is 32. Therefore, the range is 50 - 32 = 18.
Next, we need to determine the number of intervals (or bins) for the histogram. Generally, it is recommended to have 5-20 intervals depending on the size of the data set. Since we have 12 data points in this case, we can choose a reasonable number of intervals, such as 5.
Now, we can calculate the width of each interval by dividing the range by the number of intervals. In this case, the width would be 18 / 5 = 3.6. Since the width should be a whole number, we can round it up to 4.
Using these calculations, we can create the intervals for the histogram:
Interval 1: 32-35
Interval 2: 36-39
Interval 3: 40-43
Interval 4: 44-47
Interval 5: 48-51
Now, we count the frequency of data points falling within each interval:
Interval 1: 32, 35 (2)
Interval 2: 35, 39 (2)
Interval 3: 42, 43, 43, 45 (4)
Interval 4: 46 (1)
Interval 5: 48, 50, 50 (3)
Based on these frequency counts, we can represent the data using a histogram. Imagine a chart with a vertical axis representing the frequency and a horizontal axis representing the intervals. Then, we would have bars (rectangles) above each interval, with the height of each bar representing the frequency of data points falling within that interval.
To determine the best histogram representation without a visual aid, I can provide the frequency counts for each interval:
Interval 1: 2
Interval 2: 2
Interval 3: 4
Interval 4: 1
Interval 5: 3
Based on this, the best histogram representation would be the one with the highest bar in Interval 3 (40-43), which has a frequency count of 4.
So, the histogram that best represents the given data would have its highest bar above the interval 40-43.
To create a histogram, we need to group the data into intervals and then represent each interval as a bar on the graph.
Let's group the data into intervals of 5:
30-34, 35-39, 40-44, 45-49, 50-54
Now, let's count how many employees fall into each interval:
30-34: 0
35-39: 2
40-44: 3
45-49: 4
50-54: 3
Based on this, the histogram that best represents the data would have 0 employees in the first interval, 2 employees in the second interval, 3 employees in the third interval, 4 employees in the fourth interval, and 3 employees in the fifth interval.