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ISEE Lower Level Math : Sets

Study concepts, example questions & explanations for ISEE Lower Level Math

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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:

$\displaystyle 4,8,8,6,7,4,7,9,7$

What is the mode of their scores?

Possible Answers:

$\displaystyle 8$

$\displaystyle 7$

$\displaystyle 9$

$\displaystyle 4$

$\displaystyle 5$

Correct answer:

$\displaystyle 7$

Explanation:

The mode is the number that occurs most often in a set.

$\displaystyle 4,8,8,6,7,4,7,9,7$

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.

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Example Question #202 : Data Analysis And Probability

These are the number of baskets that Jeremy made during the last six basketball games:

$\displaystyle 4, 4, 2, 2, 4, 5$

What is the mode of baskets that Jeremy made?

Possible Answers:

$\displaystyle 5$

4.5 $\displaystyle 4.5$

$\displaystyle 6$

{2} $\displaystyle {2}$

$\displaystyle 4$

Correct answer:

$\displaystyle 4$

Explanation:

The mode is the number that occurs most often in a set.

$\displaystyle 4, 4, 2, 2, 4, 5$

The number that appears the most is 4, meaning that it must be the mode.

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Example Question #203 : 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?

Possible Answers:

$5\ \text{in}$ $\displaystyle 5\ \text{in}$

$9\ \text{in}$ $\displaystyle 9\ \text{in}$

$4\ \text{in}$ $\displaystyle 4\ \text{in}$

$3\ \text{in}$ $\displaystyle 3\ \text{in}$

$7\ \text{in}$ $\displaystyle 7\ \text{in}$

Correct answer:

$4\ \text{in}$ $\displaystyle 4\ \text{in}$

Explanation:

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.

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Example Question #204 : 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:

$5.6,\ 5.6,\ 4,\ 4.5,\ 4.7$ $\displaystyle 5.6,\ 5.6,\ 4,\ 4.5,\ 4.7$

What was the mode of her scores?

Possible Answers:

$\displaystyle 5$

$\displaystyle 7$

5.6 $\displaystyle 5.6$

4.7 $\displaystyle 4.7$

4.5 $\displaystyle 4.5$

Correct answer:

5.6 $\displaystyle 5.6$

Explanation:

The mode is the number that occurs most often in a set.

$5.6,\ 5.6,\ 4,\ 4.5,\ 4.7$ $\displaystyle 5.6,\ 5.6,\ 4,\ 4.5,\ 4.7$

Given that 5.6 was the score that was given more than any other (twice), it is the mode.

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Example Question #114 : Data Analysis

Which of the following could be the value of $\displaystyle x$ in the set?

$\displaystyle 45, 37, 29, 21, 13, x$

Possible Answers:

$\displaystyle 8$

$\displaystyle 5$

$\displaystyle 9$

$\displaystyle 3$

$\displaystyle 18$

Correct answer:

$\displaystyle 5$

Explanation:

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.

29-8=21 $\displaystyle 29-8=21$

21-8=13 $\displaystyle 21-8=13$

13-8=5 $\displaystyle 13-8=5$

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Example Question #746 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Lisa buys seven pairs of earrings. They cost the following amounts:

$\$8,\ \$9,\ \$ 7,\ \$ 7,\ \$ 8,\ \$ 6,\ \$8$ $\displaystyle \$8,\ \$9,\ \$ 7,\ \$ 7,\ \$ 8,\ \$ 6,\ \$8$

What is the mode?

Possible Answers:

$\$7.50$ $\displaystyle \$7.50$

$\$8$ $\displaystyle \$8$

$\$7$ $\displaystyle \$7$

$\$9$ $\displaystyle \$9$

$\$6$ $\displaystyle \$6$

Correct answer:

$\$8$ $\displaystyle \$8$

Explanation:

The mode is the number that occurs most often in a set.

$\$8,\ \$9,\ \$ 7,\ \$ 7,\ \$ 8,\ \$ 6,\ \$8$ $\displaystyle \$8,\ \$9,\ \$ 7,\ \$ 7,\ \$ 8,\ \$ 6,\ \$8$

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.

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Example Question #747 : Isee Lower Level (Grades 5 6) Mathematics Achievement

For the past 6 days, John has been running, adding a mile to each day. Below are the miles that he ran, per day:

$\displaystyle 1, 2, 3, 4, 5, 6$

What is the median?

Possible Answers:

$\displaystyle 5$

$\displaystyle 4$

4.5 $\displaystyle 4.5$

$\displaystyle 3$

3.5 $\displaystyle 3.5$

Correct answer:

3.5 $\displaystyle 3.5$

Explanation:

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.

$\displaystyle 1, 2, 3, 4, 5, 6$

Here, 3 and 4 are the middle numbers. The median is their average, which would be 3.5.

$\frac{3+4}{2}=\frac{7}{2}=3\frac{1}{2}=3.5$ $\displaystyle \frac{3+4}{2}=\frac{7}{2}=3\frac{1}{2}=3.5$

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Example Question #748 : Isee Lower Level (Grades 5 6) Mathematics Achievement

As part of her new workout routine, Tracy has been swimming. Below are the number of laps she has swam on a daily basis:

$\displaystyle 20,30,15,35$

What is the mean number of laps?

Possible Answers:

$\displaystyle 25$

$\displaystyle 22$

$\displaystyle 15$

$\displaystyle 35$

$\displaystyle 20$

Correct answer:

$\displaystyle 25$

Explanation:

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:

$\frac{20+30+15+35}{4}=\frac{100}{4}=25$ $\displaystyle \frac{20+30+15+35}{4}=\frac{100}{4}=25$

The mean is 25.

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Example Question #205 : Data Analysis And Probability

What is the median of the set?

$1.1,\ 1.2,\ 1.3,\ 3.1,\ 2.1$ $\displaystyle 1.1,\ 1.2,\ 1.3,\ 3.1,\ 2.1$

Possible Answers:

3.1 $\displaystyle 3.1$

1.3 $\displaystyle 1.3$

None of these

2.1 $\displaystyle 2.1$

1.2 $\displaystyle 1.2$

Correct answer:

1.3 $\displaystyle 1.3$

Explanation:

In order to find the median of a set, it must first be ordered from smallest to largest.

$1.1,\ 1.2,\ 1.3,\ 2.1,\ 3.1$ $\displaystyle 1.1,\ 1.2,\ 1.3,\ 2.1,\ 3.1$

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.

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Example Question #206 : Data Analysis And Probability

What best describes the shared trait of the numbers in this set?

$\displaystyle 2, 5, 7, 11, 13, 17$

Possible Answers:

Odd

None of these

Squares

Multiples of 3

Prime

Correct answer:

Prime

Explanation:

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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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Sets

Study concepts, example questions & explanations for ISEE Lower Level Math

All ISEE Lower Level Math Resources

Example Questions

Example Question #201 : Data Analysis And Probability

Example Question #202 : Data Analysis And Probability

Example Question #203 : Data Analysis And Probability

Example Question #204 : Data Analysis And Probability

Example Question #114 : Data Analysis

Example Question #746 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #747 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #748 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #205 : Data Analysis And Probability

Example Question #206 : Data Analysis And Probability

All ISEE Lower Level Math Resources

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