18. The chart below shows the average number of movies seen per person in selected countries.
Country
Average Number of Movies
a Person Sees Per Year
Turkey
0.5
Japan
1.2
United Kingdom
1.3
Finland
1.3
Austria
1.5
Germany
1.8
Spain
2.2
Sweden
2.2
Denmark
2.2
Switzerland
2.5
France
2.5
Norway
3.0
Canada
3.0
United States
4.5
Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.
Average Number of Movies per Person Frequency
0.5 - 1.0 1
1.1 - 1.5 3
1.6 - 2.0 1
2.1 - 2.5 3
2.6 - 3.0 2
3.1 - 3.5 0
3.6 - 4.0 0
4.1 - 4.5 1
To create a frequency table with equal intervals for the average number of movies per person, we can group the values into categories.
Let's use an interval width of 1, starting from 0.5 and ending at 4.5.
Frequency Table:
Interval | Frequency
0.5 - 1.4 | 3
1.5 - 2.4 | 5
2.5 - 3.4 | 3
3.5 - 4.4 | 1
4.5 - 5.4 | 1
Explanation:
0.5 - 1.4 (Interval): There are three countries (Turkey, Japan, and United Kingdom) that fall within this range.
1.5 - 2.4 (Interval): There are five countries (Finland, Austria, Germany, Spain, and Sweden) that fall within this range.
2.5 - 3.4 (Interval): There are three countries (Denmark, Switzerland, and France) that fall within this range.
3.5 - 4.4 (Interval): There is one country (Norway) that falls within this range.
4.5 - 5.4 (Interval): There is one country (United States) that falls within this range.
Note: Since the data is not provided in actual values, but instead in intervals, we can only make approximate judgments.
To create a frequency table for the average number of movies per person using equal intervals, follow these steps:
Step 1: Determine the range
The range is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0.5, and the maximum value is 4.5. Therefore, the range is 4.5 - 0.5 = 4.
Step 2: Choose the number of classes (intervals)
The number of classes, or intervals, helps divide the range into smaller, equal parts. You can select any number of classes based on your preference or the desired level of detail. For simplicity, let's choose 5 classes in this example.
Step 3: Calculate the class width
The class width is obtained by dividing the range by the number of classes. In this case, the class width is 4 / 5 = 0.8.
Step 4: Determine the lower and upper limits of each class
Start with the minimum value (0.5) as the lower limit of the first class, and add the class width successively to obtain the upper limit of each class. Here's how it would look:
Class 1: 0.5 - 1.3
Class 2: 1.4 - 2.2
Class 3: 2.3 - 3.1
Class 4: 3.2 - 4.0
Class 5: 4.1 - 4.9
Step 5: Count the frequency of each class
Now, count how many data points fall within each class range to determine the frequency. Based on the given data, the frequency table will look like this:
Class 1 (0.5-1.3): 2
Class 2 (1.4-2.2): 3
Class 3 (2.3-3.1): 4
Class 4 (3.2-4.0): 2
Class 5 (4.1-4.9): 1
And that's how you can create a frequency table for the average number of movies per person using equal intervals.