Finding the Mode
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ISEE Lower Level: Mathematics Achievement › Finding the Mode
Daily high temperatures are: 55, 57, 56, 55, 58, 55, 59, 56. Identify the mode of the data set presented.
55
56
58
59
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.
Homework times are: 20, 25, 20, 30, 15, 20, 25, 20. Which number is the mode in the data set shown?
15
20
25
30
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.
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?
4 goals
2 goals
3 goals
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.
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?
72
73
74
75
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.
Which of the following sets of data has no mode?
{15, 16, 17, 18, 19}
{10, 20, 10, 30, 10}
{22, 23, 22, 23, 24}
{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.
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?
25
30
There are two modes.
35
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.
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?
Goldfish
Parakeet
Hamster
Kitten
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.
Art project scores are: 9, 8, 9, 7, 10, 9, 8, 9. In the given numbers, which value appears most frequently?
7
8
9
10
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.
A soccer team scores: 1, 2, 1, 3, 0, 1, 2, 1, 4. In the given numbers, which value appears most frequently?
0
1
2
4
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.
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
2
3
4
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.