A frequency table is a table that records how often each value or category occurs in a data set, organizing raw data into a clear summary with categories in one column and their counts (frequencies) in another.
A frequency table is an organized list that answers 'how many?' for each category. Instead of a messy list of responses, you get a clean summary: Pizza-12, Tacos-8, Burgers-5.
Showing a random 20 of 50 problems.
Example 1
easy
If 'cat' has frequency 5 and 'dog' has frequency 8, how many pets in those two categories?How many pets in both categories combined?
Example 2
hard
A class of 25 records favorite season. Winter 6, Spring s, Summer s+2, Fall 4. Find s.
Example 3
medium
A frequency table of 40 responses shows 'yes' with frequency 24. What fraction said yes? Give a simplified fraction.What fraction of responses said yes?
Example 4
medium
Two frequency tables both total 25; the first has a max category of 11, the second a max of 9. What is the difference in their largest categories?
Example 5
challenge
A frequency table of 80 shows category X with relative frequency 0.35. How many fall in category X?
Example 6
hard
A relative frequency table sums to 1 across categories 0.20, 0.15, 0.30, r. Find r.
Example 7
challenge
A frequency table of 60 has categories in proportions 1/2, 1/3, and the rest. How many are in the 'rest' category?How many fall in the rest category?
Example 8
easy
If 'rain' has frequency 9 and 'sun' has frequency 12, how many days fall in those two weather categories?
Example 9
easy
A frequency table lists frequencies 6 and 9 for two categories. How many more in the larger?
Example 10
easy
Favourite pets are: Cat, Dog, Dog, Fish, Cat, Dog, Bird, Cat, Fish, Dog, Cat. Create a frequency table and state how many responses were recorded.
Example 11
hard
A frequency table has 5 categories with mean frequency 12. If four frequencies are 8, 14, 9, 13, what is the fifth?
Example 12
medium
A frequency table has counts 12, 9, x, 4 with total 30. What is x?Find the missing frequency x.
Example 13
challenge
A frequency table of 100 has 5 categories. The largest frequency is twice the smallest, and the three middle frequencies are 18, 20, 22. If the largest is L and smallest is S with L=2S and L+S=40, find L.
Example 14
easy
A frequency table has categories with counts 2, 2, 2, 2, 2. What is the total?Five equal frequencies — find the total.
Example 15
challenge
A frequency table has counts a, a+2, a+4 summing to 30. What is the largest frequency?
Example 16
medium
A frequency table shows test scores in intervals: 50–59 (3), 60–69 (7), 70–79 (10), 80–89 (5), 90–99 (2). Find the total number of students and identify the modal class.
Example 17
medium
A frequency table has 5 categories with frequencies 6, 9, 4, 8, y. The total is 35. Find y.
Example 18
medium
A frequency table shows 5, 10, 15, 10. What is the mean frequency across the 4 categories?What is the mean frequency across the four categories?
Example 19
medium
A frequency table shows 8, 14, 11, 7. What is the mean frequency across the 4 categories?
Example 20
easy
Which category is most frequent if counts are A:4, B:9, C:6? Answer with the highest frequency.Which category has the highest frequency?