Frequency Tables

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Show your work for each problem.

1.
What does "frequency" mean in a frequency table?
1. a)The average of all values
2. b)The largest value
3. c)The value itself
4. d)How many times a value appears
2.
In a frequency table, the values Red: 5, Blue: 8, Green: 3 are listed. What is the total frequency?
1. a)8
2. b)24
3. c)3
4. d)16
3.
A frequency table shows: A: 4, B: 7, C: 9. What is the total number of data points?
4.
What do four tally marks crossed by a fifth line represent? (||||)
5.
Which category has the highest frequency? | Animal | Frequency | |--------|----------| | Dog | 12 | | Cat | 8 | | Bird | 15 | | Fish | 5 |
1. a)Cat
2. b)Fish
3. c)Dog
4. d)Bird
6.
Students were asked their favorite sport. The results: Soccer appeared 8 times, Basketball 5 times, Tennis 3 times, Swimming 4 times. How many students were surveyed?
7.
A grouped frequency table has intervals 0-9, 10-19, 20-29. In which interval does the value 19 belong?
1. a)10-19
2. b)0-9
3. c)None of these
4. d)20-29
8.
In a class survey, 12 students chose pizza, 8 chose burgers, and 5 chose salad. What fraction of students chose pizza? Write as a simplified fraction (e.g., 1/2).
9.
Create a frequency table for this data: A, B, A, C, B, A, A, C, B, A. What is the frequency of each letter?
10.
The ages of people at a party are: 12, 15, 18, 12, 20, 15, 12, 18, 15, 12. Find the mode (most frequent value).
11.
A student made a frequency table but the frequencies sum to 28, while they collected 30 data points. What mistake did they likely make?
1. a)Used wrong intervals
2. b)Counted some values twice
3. c)Made an addition error
4. d)Missed counting 2 data points
12.
Group this data into intervals of 10 (10-19, 20-29, 30-39): 15, 22, 35, 18, 28, 31, 24, 19, 33, 26. Find the frequency for each interval.
13.
A store sold shoes in these sizes: 7, 8, 9, 8, 7, 10, 8, 9, 8, 7, 9, 8, 10, 8, 7. What is the relative frequency of size 8? (Write as a decimal, e.g., 0.25)
14.
A survey asked 50 people their favorite season. Spring: 12, Summer: 18, Fall: 15, Winter: ?. Find the frequency for Winter and the percentage who prefer Summer.
15.
Test scores: 72, 85, 91, 78, 85, 92, 88, 85, 79, 95, 85, 82. Create a grouped frequency table using intervals 70-79, 80-89, 90-99. Which interval has the highest frequency?
16.
Two classes took a test. Class A: mean score 75, 25 students. Class B: mean score 80, 15 students. If you combine the data, what is the total number of students?