ISEE Middle Level Quantitative : Data Analysis and Probability
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All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #51 : Data Analysis And Probability
Find the range of the data set provided:
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 #52 : Data Analysis And Probability
Find the range of the data set provided:
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 #51 : Data Analysis And Probability
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?
$
$
$
$
$
$
In order to find mode, we must determine which number occurs most often in the data set. In this particular set, $
Example Question #52 : Data Analysis And Probability
Which measure of central tendency would you use to find the term that is most occuring?
Interquartile Range
Median
Mean
Mode
Range
Mode
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 #52 : Data Analysis And Probability
Give the mode of the data set
The data set has no mode.
The data set has no mode.
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 #54 : Data Analysis And Probability
Which is the greater quantity?
(A) The mode of the data set
(B) The median of the data set
(B) is greater
(A) is greater
It is impossible to determine which is greater from the information given
(A) and (B) are equal
(B) is greater
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 #53 : Data Analysis And Probability
Which is the greater quantity?
(A) The number of modes of the data set
(B)
(A) and (B) are equal
It is impossible to determine which is greater from the information given
(B) is greater
(A) is greater
(B) is greater
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 #6 : How To Find Mode
Consider the data set
Which of the following elements replaces the box to make 30 the mode of the data set?
None of the other responses is correct.
None of the other responses is correct.
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 #54 : Data Analysis And Probability
Consider the data set
Which of the following elements replaces the box to make 40 the mode of the data set?
(A)
(B)
(C)
None of (A), (B), or (C) are correct.
Only (A) is correct.
Only (B) is correct.
(A), (B), and (C) are all correct.
Only (C) is correct.
(A), (B), and (C) are all correct.
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.
Example Question #53 : Data Analysis And Probability
Which is the greater quantity?
(A) The number of modes of the data set
(B)
(A) is greater
(A) and (B) are equal
(B) is greater
It is impossible to determine which is greater from the information given
(B) is greater
Arrange the data set in ascending order.
18 appears three times; 65 and 79 appear two times each; therefore, 18 is the only mode, and (B) is greater.
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All ISEE Middle Level Quantitative Resources
