Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1702 : Algebra 1

What is the median of ?

Possible Answers:

Correct answer:

Explanation:

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order.

Given 

we know that the ordered set is 

.

Since we have two middle numbers,  and , we need to average them to find the median; therefore, the median is:

 

Example Question #1702 : Algebra 1

What is the median of the following number set?

Possible Answers:

There is no median

Correct answer:

Explanation:

What is the median of the following number set?

The median is the number that falls in the middle when the set is arranged in ascending order.

Begin by rearranging the set into ascending order:

Becomes:

So our median must be 

Example Question #281 : Statistics And Probability

Refer to the following set of numbers:

Find the median of the set.

Possible Answers:

Correct answer:

Explanation:

The median of the set is the middle number. To find this, put the numbers in order from least to greatest.

In this case, there are two "middle numbers". In order to find the median, take the average of our two middle numbers:

Example Question #282 : Statistics And Probability

Refer to the following set of numbers:

Find the median of the set.

Possible Answers:

Correct answer:

Explanation:

The median of the set is the middle number. To find this, we order the numbers from smallest to greatest.

In this case, the middle number is 

Example Question #283 : Statistics And Probability

Refer to the following set of numbers:

Find the median of the set.

Possible Answers:

Correct answer:

Explanation:

The median of the set is the middle number. To find this, we order the numbers from smallest to greatest.

In this case, the middle number is 

Example Question #83 : How To Find Median

Mr. Black's algebra class took a quiz, and the scores that the students received were: .

What was the median score that Mr. Black's class received on the quiz?

Possible Answers:

Correct answer:

Explanation:

To find the median of a set of numbers, we first must arrange the numbers in order from least to greatest. The scores on Mr. Black's quiz were .

Placed in order, these scores were:

Now that we have our numbers arranged in order, to find the median, all we need to do it find the number that is in the exact middle of the series. There were  scores given for Mr. Black's quiz, so the 6th score in the series is our median - in this case

So,  is the median score for Mr. Black's quiz.

Example Question #84 : How To Find Median

Frank is in a book club with  other people. Their ages are .

What is the median age of the members of Frank's book club?

Possible Answers:

Correct answer:

Explanation:

The find the median of a group of numbers, the first think we want to do is put the numbers in order from least to greatest.

The ages for everyone in Frank's book club are .

Put in order from least to greatest, the ages are:

Now that the numbers are in order, we can find the median. The median is the number that is in the middle of the sequence. Since there are  ages total in our list, and  is an even number, there is no single age that is in the exact middle of the list. So, to find the median, we will take the average (the 'mean') of the two middle ages. 

 and  and the two middle ages, and the aveage of them is . So, our median is .

Example Question #83 : How To Find Median

What is the median of ?

Possible Answers:

Correct answer:

Explanation:

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given  we know that the ordered set is  and the median is therefore .

Example Question #84 : How To Find Median

What is the median of ?

Possible Answers:

Correct answer:

Explanation:

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given  we know that the ordered set is  and the median is therefore .

Example Question #286 : Statistics And Probability

What is the median of ?

Possible Answers:

Correct answer:

Explanation:

In order to find the median of a set of numbers, we must find identify the middle number of the set when all of the set's numbers are arranged in ascending or descending order. Given , we already know that the set is in order, but we have an even number of terms so no specific middle term sticks out.

We'll therefore need to average the two middle terms,  and , to find this set's median:

.

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