Given the graph below,create a grouped
frequency distribution. Amount per adult
movie ticket. Los Angeles 12, New Orleans 9, Atlanta 7and a half, New York
12, Tokyo 20, Paris 17, Munich 15.
I don't know how to post the graph but
these are the shaded areas.
To create a grouped frequency distribution, we need to group the given data into intervals (or classes) and count the number of data points falling into each interval.
Based on the given data points for the amount per adult movie ticket, we can observe the following values: 12, 9, 7.5, 12, 20, 17, and 15.
To start, we need to determine the range of the data. The range is calculated by subtracting the smallest value from the largest value. In this case, the smallest value is 7.5 and the largest value is 20. So the range is 20 - 7.5 = 12.5.
Next, we need to decide on the number of intervals (or classes) for our grouped frequency distribution. A common guideline is to aim for around 5-15 intervals. In this case, let's choose 6 intervals.
To determine the width of each interval, we divide the range by the number of intervals. So, 12.5 (range) divided by 6 (intervals) is approximately 2.08. We can round this up to 2.1 for simplicity.
Now, we can construct the intervals for our grouped frequency distribution. Starting from the smallest value of 7.5, we add the interval width of 2.1 successively to create the intervals:
Interval 1: 7.5 - 9.6
Interval 2: 9.6 - 11.7
Interval 3: 11.7 - 13.8
Interval 4: 13.8 - 15.9
Interval 5: 15.9 - 18.0
Interval 6: 18.0 - 20.1
Finally, we count the number of data points falling into each interval and create a frequency table. Based on the values provided, we can see that:
- There is one data point in Interval 1 (7.5 - 9.6)
- There are two data points in Interval 2 (9.6 - 11.7)
- There are two data points in Interval 3 (11.7 - 13.8)
- There is one data point in Interval 4 (13.8 - 15.9)
- There is one data point in Interval 5 (15.9 - 18.0)
- There is one data point in Interval 6 (18.0 - 20.1)
Using this information, you can now construct the grouped frequency distribution for the given data.