Given the bar graph below, create a grouped frequency distribution:
Hours per week:
0
1
2
3 Mike
4
5 Don
6 Daniel
7 Jake, Greg
8 Asad
9 Sandra
10 Drake
11
12 Andrea
13
This is what i got, please tell me if i did this correctly :)
Hours per week # of persons
3 1
5 1
6 1
7 2
8 1
9 1
10 1
12 1
To create a grouped frequency distribution, you need to group the data into intervals and count the number of observations within each interval. Here's how you can do it:
1. Determine the range of the data: The range is the difference between the maximum and minimum values. In this case, the minimum value is 0, and the maximum value is 13, so the range is 13.
2. Decide on the interval width: The interval width is the range divided by the number of intervals you want. It helps to have a reasonable number of intervals for ease of interpretation. Let's choose an interval width of 3.
3. Determine the starting point: Choose a value to start the first interval. It should be less than or equal to the minimum value. In this case, we can choose 0 as the starting point.
4. Create intervals: Start with the chosen starting point and increment by the interval width to create the intervals. In this case, the intervals would be:
- 0-2
- 3-5
- 6-8
- 9-11
- 12-14 (note that you have an extra interval to account for values up to the maximum).
5. Count the number of observations in each interval: Go through the data and count how many values fall within each interval.
Using this process, your grouped frequency distribution would look like this:
Hours per week # of persons
0 - 2 0
3 - 5 1
6 - 8 4
9 - 11 1
12 - 14 1
It seems you missed grouping the values properly, as there are multiple values falling into the same interval. Make sure to group the values correctly and count the number of persons in each interval.