ISEE Lower Level Math : Sets
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Example Questions
Example Question #201 : Data Analysis And Probability
On a quiz of ten questions, the students in Mr. Becker's class earned the following scores:
What is the mode of their scores?
The mode is the number that occurs most often in a set.
The score of 7 occurs three times in this set, the most of any other score. Because it occurs most frequently, the mode is 7.
Example Question #201 : Data Analysis And Probability
These are the number of baskets that Jeremy made during the last six basketball games:
What is the mode of baskets that Jeremy made?
The mode is the number that occurs most often in a set.
The number that appears the most is 4, meaning that it must be the mode.
Example Question #202 : Data Analysis And Probability
The pet store is selling turtles that have the following lengths: 3 inches, 5 inches, 3 inches, 3 inches, 4 inches, 5 inches, 9 inches. What is the median of the turtle lengths?
When the lengths of the turtles are ordered from smallest to largest, the lengths are ordered as such:
3 inches, 3 inches, 3 inches, 4 inches, 5 inches, 5 inches, 9 inches
The median is the middle of the set. Given that there are 7 turtles, the 4th turtle would be in the middle. Since the 4th turtle is 4 inches long, that is the median.
Example Question #203 : Data Analysis And Probability
Lisa is an iceskater and was scored on a scale of 1 to 6 by a panel of judges. Her scores were:
What was the mode of her scores?
The mode is the number that occurs most often in a set.
Given that 5.6 was the score that was given more than any other (twice), it is the mode.
Example Question #19 : How To Identify The Parts Of A List
Which of the following could be the value of 
Every subsequent number in this set is 8 less than the preceding number.
8 less than 13 is 5, which is therefore the correct answer.
Example Question #20 : How To Identify The Parts Of A List
Lisa buys seven pairs of earrings. They cost the following amounts:
What is the mode?
The mode is the number that occurs most often in a set.
Here, the number 8 (or value of 8 dollars) appears three times, while the other values only appear once or twice. This makes 8 the most common value, meaning it is the mode.
Example Question #21 : How To Identify The Parts Of A List
For the past 6 days, John has been running, adding a mile to each day. Below are the miles that he ran, per day:
What is the median?
The median is the middle number of a set when the numbers in that set are organized from smallest to largest.
When there is an even amount of numbers in a set, meaning that there are 2 middle numbers, the average of those numbers is taken.
Here, 3 and 4 are the middle numbers. The median is their average, which would be 3.5.
Example Question #22 : How To Identify The Parts Of A List
As part of her new workout routine, Tracy has been swimming. Below are the number of laps she has swam on a daily basis:
What is the mean number of laps?
In order to find the mean, the numbers of a set must be added together and then divided by how many numbers are in that set.
To find the mean, the following equation would be used:
The mean is 25.
Example Question #21 : How To Identify The Parts Of A List
What is the median of the set?
None of these
In order to find the median of a set, it must first be ordered from smallest to largest.
Given that there are 5 numbers in this set, the third number is the median. Here, the third number is 1.3, making it the median.
Example Question #21 : How To Identify The Parts Of A List
What best describes the shared trait of the numbers in this set?
None of these
Odd
Squares
Multiples of 3
Prime
Prime
Each of the numbers in this set is divisible only by itself and the number 1; therefore, each of the numbers in this set is prime.
While most of the numbers are odd, the number 2 is even, and so "odd" is not the correct answer.
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