ISEE Middle Level Quantitative : Data Analysis

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #5 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 9.44.17 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is 

Example Question #11 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.03.05 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is 

Example Question #11 : How To Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set. 

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

Next, we can solve for the difference between the highest value and the lowest value:

The range for this data set is 

Example Question #1 : Mode

Kali decided to keep a log of how much money she spent on lunch at school each day for three weeks.  Her data included the following numbers:

Week 1: $2.50, $3.00, $2.75, $3.00, $2.50

Week 2: $3.00, $2.50, $2.75, $2.50, $3.00

Week 3: $2.50, $2.75, $2.50, $3.00, $2.50

What is the mode of this data?

Possible Answers:

$

$

$

$

$

Correct answer:

$

Explanation:

In order to find mode, we must determine which number occurs most often in the data set.  In this particular set, $ occurs  times, $ occurs  times, and $ occurs  times.  Since $ occurs the most often, it is the mode for this set of data. 

Example Question #52 : Data Analysis And Probability

Which measure of central tendency would you use to find the term that is most occuring?

Possible Answers:

Median

Mean

Mode

Interquartile Range

Range

Correct answer:

Mode

Explanation:

Mode is the number that occurs most often, so that is the correct answer. Median is the middle number, while mean is the average of the set. Range is the difference between the greatest and least numbers.

Example Question #2 : How To Find Mode

Give the mode of the data set 

Possible Answers:

The data set has no mode.

Correct answer:

The data set has no mode.

Explanation:

No element in the data set appears more than once; for an element to have a mode, that element must appear at least twice. The set has no mode.

Example Question #2 : Mode

Which is the greater quantity?

(A) The mode of the data set 

(B) The median of the data set 

Possible Answers:

(B) is greater

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(A) is greater

Correct answer:

(B) is greater

Explanation:

Arrange the elements in ascending order.

The mode of the set is the element that appears most frequently, which here is 15.

The median of the set is the element that appears in the middle, which here is 19. 

(B) is greater.

Example Question #3 : Mode

Which is the greater quantity?

(A) The number of modes of the data set 

(B) 

Possible Answers:

It is impossible to determine which is greater from the information given

(A) and (B) are equal

(B) is greater

(A) is greater

Correct answer:

(B) is greater

Explanation:

The mode of a data set is the element that appears most frequently. The given data set has no repeated elements; it is considered to have no modes. (B) is greater.

Example Question #4 : Mode

Consider the data set 

Which of the following elements replaces the box to make 30 the mode of the data set?

Possible Answers:

None of the other responses is correct.

Correct answer:

None of the other responses is correct.

Explanation:

Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element) - that is, 40 will be the mode. 

Example Question #5 : Mode

Consider the data set 

Which of the following elements replaces the box to make 40 the mode of the data set?

(A) 

(B) 

(C) 

Possible Answers:

Only (C) is correct.

None of (A), (B), or (C) are correct.

(A), (B), and (C) are all correct.

Only (A) is correct.

Only (B) is correct.

Correct answer:

(A), (B), and (C) are all correct.

Explanation:

Regardless of what value replaces the box, 40 will still be the most frequently appearing element in the set (four times, more than any other element). By definition, that makes 40 the mode. 

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