18. The chart below shows the average number of movies seen per person in selected countries.
COUNTRY-AVERAGE NUMBER OF MOVIES A PERSON SEES PERYEAR
---------------------------------------------------------------------------------------------------
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 Don't need to show tally marks.
Average Number of Movies | Frequency
----------------------- | ---------
0.5 | 1
1.0 | 2
1.5 | 1
2.0 | 3
2.5 | 2
3.0 | 2
4.5 | 1
Can you explain it more and how you got the answers.
Sure, I'd be happy to explain how to make a frequency table and how I got the answers.
To make a frequency table for the average number of movies per person, we first need to organize the data into intervals. We can use equal intervals of one to make it easy to group the data.
The lowest value in the data set is 0.5, so we can start the first interval at 0.5. We then add one to get the next interval, which is 1.5. We continue adding one until we reach the highest value in the data set, which is 4.5.
Once we have the intervals, we simply count the number of data points that fall into each interval to create the frequency table. For example, there is one data point (Turkey) in the interval of 0.5 to 1.5, so the frequency for that interval is 1. There are two data points (Japan and United Kingdom) in the interval of 1.5 to 2.5, so the frequency for that interval is 2. We continue counting the data points for each interval until we have accounted for all of them.
Here is the step-by-step process for making the frequency table:
1. Determine the range of the data set. The range is the difference between the highest and lowest values. In this case, the range is 4 - 0.5 = 3.5.
2. Choose an interval size. We will use an interval size of 1.
3. Determine the number of intervals. We can find this by dividing the range by the interval size and rounding up. In this case, 3.5 / 1 = 3.5, which rounds up to 4. So we will have 4 intervals.
4. Determine the endpoints of each interval. We start with the lowest value in the data set, which is 0.5. The endpoints of each interval will be 0.5, 1.5, 2.5, 3.5, and 4.5.
5. Count the number of data points in each interval. We do this by looking at the data points and determining which interval they fall into. For example, Turkey falls into the interval of 0.5 to 1.5, so the frequency for that interval is 1. We continue counting the data points for each interval until we have accounted for all of them.
6. Record the frequencies in the frequency table. The frequency table will have two columns: one for the intervals and one for the frequencies. We can use a horizontal format with the intervals listed in the first row and the frequencies listed in the second row.
Here is the completed frequency table:
Average Number of Movies | Frequency
----------------------- | ---------
0.5 | 1
1.5 | 2
2.5 | 2
3.5 | 2
4.5 | 1
19. Mr. Green teaches band, choir, and math. This year, he has 57 students that take at least one of his classes. He teaches band to 25 students. There are 9 students who have Mr. Green for math and nothing else. Use the Venn diagram below:
Math-0
Band-11
Choir-17
Math and Band-7
Math, Band and Choir-3
How many students take exactly 2 classes with Mr. Green?
To find the number of students who take exactly two classes with Mr. Green, we need to add up the number of students in the overlap between each pair of classes. This includes the students who take both band and choir, both choir and math, and both math and band.
From the Venn diagram, we can see that there are 7 students who take both math and band, 3 students who take all three classes, and 9 students who take math and nothing else.
To find the number of students who take exactly two classes, we need to subtract the number of students who take all three classes and those who only take one class from the total number of students who take at least one class:
57 - 3 - 9 - 11 - 17 = 17
Therefore, there are 17 students who take exactly two classes with Mr. Green.
20. Make a stem-and-leaf plot that shows the following data:
COUNTRY-PERCENTAGE OF HOUSEHOLDS WITH COLOR TELEVISION
Austria-97
Belgium-93
Canada-69
Denmark-95
France-88
Germany-94
Greece-64
Ireland-92
Italy-88
Japan-100
Switzerland-91
United States-97
Use the | key (shift +\; just next to the backspace) to make the vertical lines.
Using a stem-and-leaf plot is a useful way to show this data. Here's how to create one:
1. Choose the stem values. For this data, we can use the tens place of the percentage (i.e. 6, 7, 8, 9, 10).
2. Write the stem values vertically.
3. For each data point, write the ones digit in the corresponding row to the right of the stem value.
4. Add a key to show what the digits represent.
Here is the completed stem-and-leaf plot:
```
Key: 6|4 = 64
6|9 = 69
8|8 8|8 = 88 88
9|2 3| = 92 93
9|4 5|5|7| = 94 95 97
10|0| = 100
Stem-and-leaf plot of percentage of households with color television:
6 | 4 9
7 | 6
8 | 8 8
9 | 2 3 4 5 5 7
10 | 0
A number cube with the numbers 1 through 6 is rolled. Find the given Probability.
1. P(number <2)
2. p(number>_ 3)
3. p(Complement of 4)
4. A multiple choice question has 5 possible answers> What are the odds in favor of guessing the right answer?
5. What are the odds against the spinner landing on red?
6. The following results were obtained from flipping a coin 8 times. According to the results, what is the experimental probability of getting heads?
TRAIL-RESULTS
1-h
2-h
3-h
4-t
5-h
6-t
7-h
8-t
1. P(number <2) = 1/6. There is only one number less than 2, which is 1, and the number cube has 6 sides, each with an equal chance of landing face up.
2. P(number >= 3) = 4/6 = 2/3. There are four numbers that are greater than or equal to 3 (3, 4, 5, 6), out of a total of six possible outcomes.
3. P(Complement of 4) = P(not 4) = 5/6. The complement of 4 includes all the outcomes that are not 4 (1, 2, 3, 5, 6), out of a total of six possible outcomes.
4. The odds in favor of guessing the right answer are 1 to 4 (or 1:4). There is only one correct answer, out of a total of five possible answers.
5. The odds against the spinner landing on red depend on the number of sections the spinner has and how many are red. We are not given this information, so we cannot determine the odds against landing on red.
6. There are 5 heads out of a total of 8 flips. Therefore, the experimental probability of getting heads is 5/8.
To create a frequency table using equal intervals for the average number of movies per person, you will need to identify the range of values and divide them into equal intervals. Here's how you can do it:
1. Identify the range of values: Look at the given data and identify the minimum and maximum values. In this case, the minimum value is 0.5, and the maximum value is 4.5.
2. Determine the number of intervals: Decide on the number of equal intervals you want to create. This can vary depending on the data and your preference. For this example, let's use 5 intervals.
3. Calculate the interval width: To determine the width of each interval, subtract the minimum value from the maximum value and divide it by the number of intervals. In this case, the width would be (4.5 - 0.5) / 5 = 4 / 5 = 0.8.
4. Create the frequency table: Start with the lowest value (0.5) and add the interval width successively to find the upper values for each interval. Then, count the number of countries that fall within each interval. Here's an example of how the frequency table could be constructed:
Interval Frequency
---------------------------
0.5 - 1.3 6
1.3 - 2.1 3
2.1 - 2.9 3
2.9 - 3.7 1
3.7 - 4.5 2
Note: In this example, the intervals are inclusive of the lower value and exclusive of the upper value (e.g., 0.5 - 1.3 includes 0.5 but not 1.3).
Remember, the exact values may differ depending on the specific boundaries you choose for each interval, but the general process remains the same.