Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #3 : Median

A student has taken five algebra tests already this year. Her scores were , , , , and . What is the median of those values?

Possible Answers:

Correct answer:

Explanation:

To find the median of a set of values, simply place the numbers in order and find the value that is exactly "in the middle." Here, we can place the test scores in ascending order to get , , , , . (Descending order would work just as well.) The median is the middle value, . Make sure you don't confuse median with mean (average)! To get the mean value of this set, you would find the sum of the test scores and then divide by the number of values.

Example Question #4 : Median

What is the median of the following numbers?

12,15,93,32,108,22,16,21

Possible Answers:

Correct answer:

Explanation:

To find the median, first you arrange the numbers in order from least to greatest.

Then you count how many numbers you have and divide that number by two. In this case 12,15,16,21,22,32,93,108= 8 numbers.

So 

Then starting from the least side of the numbers count 4 numbers till you reach the median number of 

Then starting from the greatest side count 4 numbers until you reach the other median number of 

Finally find the mean of the two numbers by adding them together and dividing them by two 

to find the median number of .

Example Question #15 : How To Find Median

In the following set, what is the median? 

Possible Answers:

Correct answer:

Explanation:

The median is the middle number if there is an odd amount of numbers in the set.

For an even amount of numbers in the set, the median is the mean of the 2 middle numbers after the set is rearranged in order.

The set is already given in order as is.

The two middle numbers are 7 and 9.  Find the mean of these two numbers to get the median of this set.

The median of this set is .

 

Example Question #221 : Statistics And Probability

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we need to find the middle number in the set. There are five numbers, so the middle number is basically third in the set. That number is 

Example Question #222 : Statistics And Probability

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we should arrrange the numbers in increasing order. That would be . Next, since there are five numbers, the middle number is the third. That value is 

Example Question #223 : Statistics And Probability

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are  and . We average the two numbers to get 

Example Question #24 : How To Find Median

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are  and . We average the two numbers to get 

Example Question #31 : Basic Statistics

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are six. Since six is an even number, we go to the two middle numbers which are  and . We average the two numbers to get 

Example Question #223 : Statistics And Probability

What is the median?

Possible Answers:

Correct answer:

Explanation:

To find median, we must arrange the numbers in increasing order. The larger the negative value, the smaller it is. We get .Then, we count the numbers in the set. There are seven. The middle number is 

Example Question #225 : Statistics And Probability

If the median must be a value below , what could be a possible value of ?

Possible Answers:

Correct answer:

Explanation:

To ensure the median is below , we need to arrange so that  is the middle. So we have . The only value below  is 

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