Data Analysis and Probability
ISEE Middle Level Quantitative Reasoning · Learn by Concept
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ISEE Middle Level Quantitative Reasoning › Data Analysis and Probability
Find the range for this set of numbers:
Explanation
First, order the numbers from least to greatest:
Then, subtract the smallest number from the largest number:
Answer:
Find the mode in this set of numbers:
Explanation
Identify the number that appears most frequently:
Find the range in this set:
Explanation
First order the number from least to greatest:
Then, subtract the smallest from the largest number:
Answer: The range is .

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.
Find the range in this set:
Explanation
First order the number from least to greatest:
Then, subtract the smallest from the largest number:
Answer: The range is .
A bag contains red marbles,
pink marbles, and
purple marbles. What is the probability of not choosing a purple marble?
Explanation
The probability (p) is equal to the number of a specific event (purple marbles) divided by the total number of events. The probability of NOT p (called q) is equal to In this example:
Find the mode in this set of numbers:
Explanation
Identify the number that appears most frequently:
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.
Find the range of the data set provided:

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
Find the mode of this set of numbers:
Explanation
The mode is the number that appears most frequently in the data set.
Answer: