Data Analysis - ISEE Middle Level Quantitative Reasoning
Card 0 of 3225
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?
Define:
Universal set
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?
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.
The gray region is the region outside both
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:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
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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?
Define:
Universal set
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?
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.
The gray region is the region outside both
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:
7,916 is not divisible by 5 as it ends in 6; it is not divisible by 3 as
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Which is the greater quantity?
(A) The midrange of the data set 
(B) The midrange of the data set 
Which is the greater quantity?
(A) The midrange of the data set
(B) The midrange of the data set
The midrange of a data set is the mean of its least and greatest elements. The midrange of the first data set is 
; that of the second data set is 
. (A) is greater.
The midrange of a data set is the mean of its least and greatest elements. The midrange of the first data set is
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Set 
is defined as:
Set 
is made by doubling the values in set 
.
What is the range of values in set 
?
Set
Set
What is the range of values in set
To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way of constructing set 
by doubling set 
's values, the largest and smallest values in 
will directly correlate to the same in set 
:
Smallest: 
Largest: 
Therefore, the range is: 
To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way of constructing set
Smallest:
Largest:
Therefore, the range is:
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The members of set 
are defined as the values for:
For values of 
between 
and 
.
What is the range of set 
?
The members of set
For values of
What is the range of set
To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way that we construct set 
from the function 
, we merely need to use that function to find the smallest and largest values. Luckily, that is pretty easy for this question. The smallest will be 
and the largest will be 
Smallest: 
Largest: 
Therefore, the range is: 
To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way that we construct set
Smallest:
Largest:
Therefore, the range is:
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Set 
is defined as:
The members of set 
are defined by the function:
, where 
is a member of set 
.
So, for instance, set T contains 
because for 
, we get:
What is the range of set 
?
Set
The members of set
So, for instance, set T contains
What is the range of set
We first need to determine the members of set 
. Using our function, we will get:
Our largest value is 
, and our smallest value is 
; therefore, the range is 
We first need to determine the members of set
Our largest value is
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Given the below set of numbers find the range:
Given the below set of numbers find the range:
Range for a set of data is defined as the difference between the biggest and smallest number.
First we find the biggest number which is 15, we then subtract the smallest number in this set which is negative 2 as shown below:
Remember, when subtracting a negative number we must add the numbers.
Range for a set of data is defined as the difference between the biggest and smallest number.
First we find the biggest number which is 15, we then subtract the smallest number in this set which is negative 2 as shown below:
Remember, when subtracting a negative number we must add the numbers.
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Given the below set of numbers, find the range:
Given the below set of numbers, find the range:
In order to find the range, we must subtract the smallest number from the biggest number.
We must convert the fractions to have a common denominator which is 10.
Therefore, the range of this set is
.
In order to find the range, we must subtract the smallest number from the biggest number.
We must convert the fractions to have a common denominator which is 10.
Therefore, the range of this set is
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Find the range of the data set provided:
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 
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
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Find the range of the data set provided:
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 
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
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Find the range of the data set provided:
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 
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
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Find the range of the data set provided:
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 
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
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Given the below set of numbers, find the range:
Given the below set of numbers, find the range:
In order to find the range, we must subtract the smallest number from the biggest number.
We must convert the fractions to have a common denominator which is 10.
Therefore, the range of this set is
.
In order to find the range, we must subtract the smallest number from the biggest number.
We must convert the fractions to have a common denominator which is 10.
Therefore, the range of this set is
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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?
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, $
occurs 
times, $
occurs 
times, and $
occurs 
times. Since $
occurs the most often, it is the mode for this set of data.
In order to find mode, we must determine which number occurs most often in the data set. In this particular set, $
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Which measure of central tendency would you use to find the term that is most occuring?
Which measure of central tendency would you use to find the term that is most occuring?
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.
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.
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Consider the data set 
Which of the following elements replaces the box to make 30 the mode of the data set?
Consider the data set
Which of the following elements replaces the box to make 30 the mode of the data set?
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.
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.
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Which is the greater quantity?
(A) The mode of the data set 
(B) The median of the data set 
Which is the greater quantity?
(A) The mode of the data set
(B) The median of the data set
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.
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.
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Give the mode of the data set 
Give the mode of the data set
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.
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.
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Which is the greater quantity?
(A) The number of modes of the data set 
(B) 
Which is the greater quantity?
(A) The number of modes of the data set
(B)
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.
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.
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Which is the greater quantity?
(A) The number of modes of the data set 
(B) 
Which is the greater quantity?
(A) The number of modes of the data set
(B)
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.
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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