ISEE Middle Level Math : Data Analysis and Probability

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

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Example Questions

Example Question #101 : How To Find Median

Use the following data set to answer the question:

 

Find the median.

Possible Answers:

Correct answer:

Explanation:

To find the median of a data set, we will first arrange the numbers within the set in ascending order.  Then, we will find the number in the middle of the set.

So, given the set

we will arrange the numbers in ascending order.  To do that, we will arrange them from smallest to largest.  So, we get

Now, we will locate the number in the middle of the set.

We can see that it is 4.

 

Therefore, the median of the data set is 4.

Example Question #102 : How To Find Median

Use the following data set to answer the question:

Find the median.

Possible Answers:

Correct answer:

Explanation:

To find the median of a data set, we will first arrange the numbers within the set in ascending order, then we will locate the number in the middle of the set.

So, given the set

we will arrange them in ascending order.  To do that, we will arrange them from smallest to largest.  So, we get

Now, we will locate the number in the middle of the set.  So,

We can see that it is 6.

 

Therefore, the median of the data set is 6.

Example Question #103 : How To Find Median

A Math class took an exam.  Here are the scores of 11 students:

Find the median score.

Possible Answers:

Correct answer:

Explanation:

To find the median score, we will first arrange the scores in ascending order.  Then, we will find the score in the middle of the set.

So, given the set of scores

We will arrange the scores in ascending order.  To do that, we will arrange them from smallest to largest.  So, we get

 

Now, we will find the score in the middle of the set.

 

Therefore, the median score is 87.

Example Question #101 : Median

A class takes an exam.  Here are the scores of the 7 students who took the exam:

Find the median score.

Possible Answers:

Correct answer:

Explanation:

To find the median score, we will first arrange the numbers in ascending order.  Then, we will find the number in the middle of the set. 

So, given the set

We will arrange the scores in ascending order.  To do this, we will arrange them from smallest to largest.  So, we get

Now, we will find the number in the middle of the set.

We can see that it is 90.

Therefore, the median score is 90.

Example Question #105 : How To Find Median

A Science class takes an exam.  Here are the results from 11 random students:

 

Find the median score.

Possible Answers:

Correct answer:

Explanation:

To find the median score, we will arrange the scores in ascending order, then we will find the number in the middle.  So, in the data set

Now, we will arrange them in ascending (from smallest to largest) order.  We get

And the number in the middle

 

Therefore, the median score is 85.

Example Question #811 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Identify the median of the numbers:  

Possible Answers:

Correct answer:

Explanation:

The median of an odd set of numbers is the central number of a chronologically ordered data set from least to greatest.

Rearrange the numbers from least to greatest.

The central number is 11.

The answer is: 

Example Question #107 : How To Find Median

Use the following data set to answer the question:

Find the median.

Possible Answers:

Correct answer:

Explanation:

To find the median of a data set, we will first arrange the numbers in ascending order. Then, we will find the number in the middle of the set. 

So, given the data set

we will arrange them in ascending order (from smallest to largest).  We get

Now, we will find the number in the middle of the set.  So, 

We can see that it is 7.

Therefore, the median of the data set is 7.

Example Question #1 : Outcomes

There are 32 marbles in a bag: 7 are Red, 11 are Blue, 8 are Purple and 6 are Green. If I pick one marble out of the bag, which color would it most likely be?

Possible Answers:

Correct answer:

Explanation:

Find the color with the largest number of marbles in the bag.

Answer: There are more blue marbles in the bag, therefore it would be more likely to pick a blue marble.

Example Question #4 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

The red queens are removed from a standard deck of fifty-two cards. What is the probability that a card randomly drawn from that modified deck will be a face card (jack, queen, king)?

Possible Answers:

Correct answer:

Explanation:

There are four cards of each rank in a standard deck; since three ranks - jacks, queens, kings - are considered face cards, this makes twelve face cards out of the fifty-two. But two of those face cards - two red queens - have been removed, so now there are ten face cards out of fifty. This makes the probability of a randomly drawn card being a face card

.

Example Question #1 : Develop And Compare Probability Models And Find Probabilities Of Events: Ccss.Math.Content.7.Sp.C.7

Jamie rolled a normal 6-sided die. What is the probability of rolling a number greater than 4?

Possible Answers:

Correct answer:

Explanation:

Probability is determined by dividing the number of incidences of a specific outcome (in this case rolling greater than 4, or rolling a 5 or 6) by the total number of outcomes (there are 6 sides to the die).

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