ISEE Lower Level Quiz: Finding The Mode
20 questions · exam conditions
0:00
Finding The ModeQuestion 1 of 20

The number of goals scored by a hockey team in its first five games were 3, 4, 3, 2, and 4. In the sixth game, the team scored a number of goals that made 4 the only mode for the six games. How many goals did the team score in the sixth game?

2 goals
3 goals
4 goals
5 goals
← Back to quizzes

ISEE Lower Level Quiz

ISEE Lower Level Quiz: Finding The Mode

Practice Finding The Mode in ISEE Lower Level with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Finding The Mode, giving you a quick way to practice the rules, question types, and explanations that matter most for ISEE Lower Level.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

The number of goals scored by a hockey team in its first five games were 3, 4, 3, 2, and 4. In the sixth game, the team scored a number of goals that made 4 the only mode for the six games. How many goals did the team score in the sixth game?

  1. 2 goals
  2. 3 goals
  3. 4 goals (correct answer)
  4. 5 goals
Explanation: The initial data set for the first five games is {2, 3, 3, 4, 4}. In this set, both 3 and 4 are modes because they each appear twice. For 4 to become the only mode in the set of six games, the number of goals scored in the sixth game must be 4. This would make the new set {2, 3, 3, 4, 4, 4}, where 4 appears three times and is the only mode.

Question 2

The list of daily high temperatures for a city is 72, 75, 72, 78. A fifth day's temperature is added to the list. If the new list has two modes, what could the fifth day's temperature be?

  1. 72
  2. 73
  3. 74
  4. 75 (correct answer)
Explanation: The original list of temperatures is {72, 72, 75, 78}. The mode is 72 because it appears twice. For the new list of five temperatures to have two modes, the added temperature must create a second value that also appears twice. Adding 75 to the list results in {72, 72, 75, 75, 78}, which has two modes: 72 and 75.

Question 3

A pet store sold the following animals in one day: 5 hamsters, 8 goldfish, 5 kittens, and 6 parakeets. The store owner wants to advertise the most popular pet sold that day. Which animal should be advertised?

  1. Hamster
  2. Kitten
  3. Parakeet
  4. Goldfish (correct answer)
Explanation: The most popular pet is the one that sold the most, which corresponds to the mode of the sales data. The number of each animal sold was: hamsters (5), goldfish (8), kittens (5), parakeets (6). The highest number of sales was 8, for goldfish. Therefore, goldfish was the most popular pet.

Question 4

A team's goals are: 2, 3, 2, 1, 2, 0, 4, 2, 3. Find the value that occurs most often in the data set.

  1. 4
  2. 2 (correct answer)
  3. 3
  4. 1
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 2 appears 4 times, which is more frequent than any other number. Choice B is correct because it accurately identifies 2 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 5

Daily high temperatures are: 55, 57, 56, 55, 58, 55, 59, 56. Identify the mode of the data set presented.

  1. 59
  2. 56
  3. 55 (correct answer)
  4. 58
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 55 appears 3 times, which is more frequent than any other number. Choice C is correct because it accurately identifies 55 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 6

Students bike weekly: 4, 5, 4, 6, 7, 4, 5, 4, 3, 6. Based on the data set, what is the mode?

  1. 7
  2. 5
  3. 4 (correct answer)
  4. 50
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 4 appears 4 times, which is more frequent than any other number. Choice C is correct because it accurately identifies 4 as the mode, demonstrating understanding of frequency. Choice D is incorrect because it might represent a miscalculation like the sum, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 7

Students practice piano weekly: 3, 4, 5, 4, 2, 4, 6, 4, 3, 5. What is the mode of the numbers listed?

  1. 4 (correct answer)
  2. 6
  3. 3
  4. 40
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 4 appears 4 times, which is more frequent than any other number. Choice A is correct because it accurately identifies 4 as the mode, demonstrating understanding of frequency. Choice D is incorrect because it might represent a miscalculation like the sum, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 8

Basketball points per game: 8, 10, 12, 10, 9, 10, 11, 8. Identify the mode of the data set presented.

  1. 10 (correct answer)
  2. 12
  3. 9
  4. 11
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 10 appears 3 times, which is more frequent than any other number. Choice A is correct because it accurately identifies 10 as the mode, demonstrating understanding of frequency. Choice B is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 9

A team's points are: 14, 12, 14, 10, 16, 14, 12, 18. Find the value that occurs most often in the data set.

  1. 18
  2. 13
  3. 12
  4. 14 (correct answer)
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 14 appears 3 times, which is more frequent than any other number. Choice D is correct because it accurately identifies 14 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 10

The number of minutes Leo spent on homework for 6 nights was 20, 30, 20, 35, 30, and N. If the range of the data is 15 and the mode is 20, what is the value of N?

  1. 35
  2. 30
  3. 25
  4. 20 (correct answer)
Explanation: The data set without N is {20, 20, 30, 30, 35}. This set has two modes, 20 and 30. The problem states that the mode of the full set of six numbers is 20. This means N must be 20, making the full set {20, 20, 20, 30, 30, 35}. Now, let's check the range. The highest value is 35 and the lowest is 20. The range is 35−20=1535 - 20 = 15, which matches the condition. Thus, N must be 20.

Question 11

The number of children in five families are 2, 4, 2, 5, 4. A sixth family is surveyed. If the number of children in the sixth family makes 2 the only mode, how many children must the sixth family have?

  1. 5 children
  2. 4 children
  3. 3 children
  4. 2 children (correct answer)
Explanation: The current data set is {2, 2, 4, 4, 5}. In this set, both 2 and 4 are modes as they each appear twice. To make 2 the only mode, the number of children in the sixth family must be 2. The new set would be {2, 2, 2, 4, 4, 5}, where 2 appears three times and is the only mode.

Question 12

On Monday, a bakery sold 10 pies. On Tuesday, it sold 3 more pies than on Monday. On Wednesday, it sold the same number as on Monday. On Thursday, it sold 2 fewer than on Tuesday. What is the mode of the number of pies sold per day from Monday to Thursday?

  1. 10 pies (correct answer)
  2. 11 pies
  3. 12 pies
  4. 13 pies
Explanation: First, determine the number of pies sold each day. Monday: 10. Tuesday: 10+3=1310 + 3 = 13. Wednesday: 10. Thursday: 13−2=1113 - 2 = 11. The data set is {10, 13, 10, 11}. The number 10 appears twice, which is more often than any other number. Therefore, the mode is 10 pies.

Question 13

A survey asked students how many toppings they like on their pizza. Eight students preferred one topping, twelve students preferred two toppings, eight students preferred three toppings, and five students preferred four toppings. What is the mode for the number of toppings?

  1. 8 toppings
  2. 12 toppings
  3. 2 toppings (correct answer)
  4. 3 toppings
Explanation: The mode is the data value that occurs most frequently. The number of students represents the frequency. Twelve students preferred two toppings, which is a higher frequency than for any other number of toppings. Therefore, the mode is 2 toppings.

Question 14

Daily high temperatures are: 70, 71, 69, 70, 72, 70, 68, 71. Based on the data set, what is the mode?

  1. 72
  2. 70 (correct answer)
  3. 71
  4. 69
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 70 appears 3 times, which is more frequent than any other number. Choice B is correct because it accurately identifies 70 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 15

The numbers of laps five swimmers completed were 12, 15, 12, 18, and 13. What is the sum of the mode and the range of this data set?

  1. 12
  2. 18 (correct answer)
  3. 13
  4. 6
Explanation: First, find the mode, which is the number that appears most often. The number 12 appears twice, more than any other number, so the mode is 12. Next, find the range, which is the difference between the highest and lowest values. The range is 18−12=618 - 12 = 6. The question asks for the sum of the mode and the range, which is 12+6=1812 + 6 = 18.

Question 16

Which of the following sets of data has no mode?

  1. {10, 20, 10, 30, 10}
  2. {15, 16, 17, 18, 19} (correct answer)
  3. {22, 23, 22, 23, 24}
  4. {5, 5, 5, 5, 5}
Explanation: The mode is the value that appears most frequently in a data set. In the set {15, 16, 17, 18, 19}, each number appears only once. Since no number appears more often than any other, this set has no mode.

Question 17

The scores for Team A in a trivia game were 25, 30, 25. The scores for Team B were 35, 25, 35. What is the mode of the combined scores for both teams?

  1. 35
  2. 30
  3. 25 (correct answer)
  4. There are two modes.
Explanation: First, combine the scores from both teams into a single data set. The combined set is {25, 30, 25, 35, 25, 35}. Next, count the frequency of each number. The number 25 appears three times, 30 appears once, and 35 appears twice. Since 25 appears most often, it is the mode.

Question 18

Homework times are: 20, 25, 20, 30, 15, 20, 25, 20. Which number is the mode in the data set shown?

  1. 30
  2. 20 (correct answer)
  3. 25
  4. 15
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 20 appears 4 times, which is more frequent than any other number. Choice B is correct because it accurately identifies 20 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 19

Art project scores are: 9, 8, 9, 7, 10, 9, 8, 9. In the given numbers, which value appears most frequently?

  1. 10
  2. 8
  3. 9 (correct answer)
  4. 7
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 9 appears 4 times, which is more frequent than any other number. Choice C is correct because it accurately identifies 9 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.

Question 20

A soccer team scores: 1, 2, 1, 3, 0, 1, 2, 1, 4. In the given numbers, which value appears most frequently?

  1. 4
  2. 2
  3. 1 (correct answer)
  4. 0
Explanation: This question tests ISEE Lower Level Mathematics Achievement skills: finding the mode of a data set. The mode is the number that appears most frequently in a set of values. It helps identify the most common occurrence in a data set. In this specific data set, the value 1 appears 4 times, which is more frequent than any other number. Choice C is correct because it accurately identifies 1 as the mode, demonstrating understanding of frequency. Choice A is incorrect because it represents the maximum value, which is a common mistake when students do not focus on frequency. To help students: Practice identifying the mode by counting occurrences of each number in a data set. Encourage checking each value's frequency and comparing to find the most common one. Watch for confusion between mode, mean, and median.