Categorical data is data that can be sorted into groups or categories, like colors, types, or names, rather than measured with numbers. You can count how many items fall into each category, but you cannot meaningfully add, subtract, or average the category labels themselves.
Categorical data puts things in boxes by type, not by how much. Your favorite color, pet type, or sport are categories - you can't average them, but you can count how many in each group.
Showing a random 20 of 50 problems.
Example 1
easy
In categories dog, cat, bird with counts 4, 2, 3, how many distinct categories are there?
Example 2
challenge
A survey of 60 has categories in ratio 2:3:5. How many more are in the largest than the smallest category?
Example 3
medium
A survey of 60 students lists favorite subject. Math 22, Science 17, Art 13, the rest English. How many chose English?60 students chose a favorite subject. How many chose English?
Example 4
medium
A survey asks: 'Rate your satisfaction: Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied.' Is this categorical or numerical data? Can you calculate a mean satisfaction score?
Example 5
easy
A pet survey records dog, cat, dog, fish, bird, dog, cat. How many distinct categories appear?
Example 6
medium
Of 40 students, 25% chose pizza, 30% chose burgers, and the rest chose tacos. How many chose tacos?
Example 7
easy
Is 'favorite color' categorical or numerical? Answer 1 for categorical, 0 for numerical.
Example 8
medium
In a class, 12 like dogs and 8 like cats as their one favorite pet. What fraction like cats? Give a simplified fraction.
Example 9
medium
In a class, 14 like dogs, 6 like cats, and 5 like fish as their one favorite pet. What fraction like dogs? Give a simplified fraction.What fraction of the class chose dog as their favorite pet?
Example 10
easy
Survey of fruit: apple, pear, apple, apple, pear, kiwi, kiwi. How many apples?
Example 11
medium
Which of these is NOT categorical data: A) eye color, B) sport, C) test score? Answer 1=A, 2=B, 3=C.
Example 12
medium
A survey of 50 students records favorite subject. Math 18, Science 14, Art 11, the rest English. How many chose English?50 students chose their favorite subject. How many chose English?
Example 13
hard
A survey shows category ratios A:B:C =2:3:5 with total 80 responses. How many in category B?
Example 14
hard
A school of 200 students recorded primary lunch choice: 35% pasta, 25% sandwich, 20% salad, the rest soup. How many chose soup?
Example 15
medium
Four categories have counts 6, 9, 5, 10. What is the difference between the largest and smallest category count?
Example 16
medium
A student collects data on 20 classmates: shoe size, favourite subject, number of pets, and birth month. Which variables are categorical and which are numerical? For each categorical variable, state the most appropriate graph to display it.
Example 17
challenge
Categories P, Q, R have counts where Q is twice P and R is 5 more than Q. If P = 4, what is the total?
Example 18
medium
A survey lists 48 responses across 6 categories with equal counts. How many responses per category?
Example 19
easy
Which is categorical data: 'favorite ice cream flavor' or 'temperature in degrees'? Answer 1 for flavor, 2 for temperature.
Example 20
medium
A survey lists 30 responses across 5 categories with equal counts. How many responses per category?