Data Analysis

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ISEE Middle Level Quantitative Reasoning › Data Analysis

Questions 1 - 10
1

Find the mode in this set of numbers:

22, 24, 28, 23, 27, 24, 29, 35, 23, 42, 42, 24, 26, 25, 26.

Explanation

Find the number that appears most frequently.

Answer: The mode is 24.

2

Find the mode in this set of numbers:

22, 24, 28, 23, 27, 24, 29, 35, 23, 42, 42, 24, 26, 25, 26.

Explanation

Find the number that appears most frequently.

Answer: The mode is 24.

3

Find the range of the following data set:

Explanation

Find the mode of the following data set:

First, let's rearrange our numbers in increasing order:

Next, identify the range by subtracting the first number from the last number:

So our range is 185

4

Venn_3

Define:

Universal set , the set of all natural numbers.

= { | is a multiple of 3}

= { | is a multiple of 5}

If all of the natural numbers were to be placed in their appropriate places in the above Venn diagram, which of the following would be placed in the gray region?

Explanation

The gray region is the region outside both and and is therefore the set of natural numbers that are multiples of neither 3 nor 5.

1,565 and 3,890 can be eliminated as choices as each is divisible by 5: the former ends in 5 and the latter ends in 0.

7,431 and 3,966 can be eliminated as each is divisible by 3: and .

7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as . Therefore, it is the correct choice.

5

Find the mode in this set of numbers:

Explanation

Find the number that appears most frequently in the set:

6

Find the mode in this set of numbers:

Explanation

Identify the number that appears most frequently:

7

Find the mode of this set of numbers:

Explanation

The mode is the number that appears most frequently in the data set.

Answer:

8

Find the range of the following data set:

Explanation

Find the mode of the following data set:

First, let's rearrange our numbers in increasing order:

Next, identify the range by subtracting the first number from the last number:

So our range is 185

9

Find the range in this set of numbers:

Explanation

First, order the numbers from least to greatest:

Then, subtract the smallest number from the largest:

Answer: The range is 11.

10

Find the mode in this set of numbers:

Explanation

Find the number that appears most frequently in the set:

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