Question

students were asked, \how stressed have you been in the last week, on a scale of 0 to 10, with 0 being not at all stressed and 10 being as stressed as possible?\ the<br>responses are shown in the frequency distribution below. construct a histogram and frequency polygon for the data.<br>a. select a histogram representing the given data frequency distribution.<br>student stress rating<br>student stress rating<br>student stress rating<br>student stress rating

Explanation:

Step1: Analyze the frequency data

We have the stress ratings (0 - 10) and their corresponding frequencies: 0 (2), 1 (1), 2 (3), 3 (11), 4 (11), 5 (13), 6 (18), 7 (27), 8 (27), 9 (11), 10 (16).

Step2: Compare with the histograms

• For stress rating 0, frequency is 2. So the bar for 0 should reach up to 2.
• For stress rating 1, frequency is 1. Bar reaches up to 1.
• For stress rating 2, frequency is 3. Bar reaches up to 3.
• For stress rating 3, frequency is 11. Bar reaches up to 11.
• For stress rating 4, frequency is 11. Bar reaches up to 11.
• For stress rating 5, frequency is 13. Bar reaches up to 13.
• For stress rating 6, frequency is 18. Bar reaches up to 18.
• For stress rating 7, frequency is 27. Bar reaches up to 27.
• For stress rating 8, frequency is 27. Bar reaches up to 27.
• For stress rating 9, frequency is 11. Bar reaches up to 11.
• For stress rating 10, frequency is 16. Bar reaches up to 16.

Looking at the given histograms, the top - left histogram (the one with the blue dot selected) has bars that match these frequencies. For example, the bar for 7 and 8 is the tallest (27), the bar for 6 is shorter than 7/8 but taller than 5, and the bars for 3,4 are equal (11), etc.

Answer:

The histogram with the blue dot (the top - left one among the four histograms) is the correct one representing the given frequency distribution.