Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #301 : Statistics And Probability

A P.E. class took the height of every student in inches. These were the results:

Find the median of the class's data set.

Possible Answers:

Correct answer:

Explanation:

Median means the middle of a sorted set of numbers. That is, it is the exact middle of a set of numbers. 

In order to solve for median, we must allign the numbers in order in increasing value.

This number set will become:

As you cross out one number from each side, you will eventually be left with the remaining number if there is an odd number of numbers. If there is an even number of numbers, the median will be the average of the last two remaining numbers. 

Because we're left with two numbers, we must take their mean (average) to solve for the median of the data set.

Example Question #97 : How To Find Median

Find the median of the following number set:

Possible Answers:

Correct answer:

Explanation:

Find the median of the following number set:

To find the median we must first arrange the terms in increasing order.

Now, finding the median is as easy as finding the middle number

Because 97 is the middle value, it is our median.

 

Example Question #98 : How To Find Median

Find the median of the following dataset:  

Possible Answers:

Correct answer:

Explanation:

The median is the center number of an odd amount of numbers in a chronologically ordered dataset from least to greatest

If there is an even amount of numbers in the set, the median is the average of the middle two numbers in a chronological ordered dataset from least to greatest.

In the given dataset, we have unknown variables that are not defined.  The variables  can be any specific number.  Since these are not defined, we do not have sufficient information to solve for the median.

The answer is:  

Example Question #101 : How To Find Median

Find the median: 4 4 2 3 3 2 3 1 1 2 3 2 2 2 1 14 2

Possible Answers:

Correct answer:

Explanation:

To find the median, put the data in order:

1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 14

The data set contains 17 data points. The center or median value will have 8 points on either side. 

The point in the very center is a 2.

Example Question #102 : How To Find Median

Find the median of the following set of numbers.

Possible Answers:

Correct answer:

Explanation:

To solve, simply find the middle number when ordered from smallest to largest. Thus, since there are nine numbers, our answer will be five from either end. Therefore, our answer is .

Example Question #103 : How To Find Median

Find the median:  

Possible Answers:

No median

Correct answer:

Explanation:

First reorder all numbers in chronological order from the least to greatest.

The median is the middle number in a odd amount of numbers in a dataset.

Since we have an even amount of numbers, the median is the average of the numbers to the left and right of the central point.

Average the two numbers.

The median is:  

Example Question #104 : How To Find Median

Find the median of the following set of numbers:

Possible Answers:

None

Correct answer:

Explanation:

To find the median, simply find the middle number when they are ordered from smallest to largest. Thus, our answer is .

Example Question #105 : How To Find Median

Tom is driving from Los Angeles to San Francisco. During his drive, he cruise controlled his car for an hour at different speeds. These speeds were 

What was the median of his speed when he was cruise controlling?

Possible Answers:

Correct answer:

Explanation:

This problem is asking us to solve for the median of Tom's speeds. Median is the exact center of a set. 

In order to easily see which number is exactly in the center, we can first organize our data set from smallest to greatest.

Now we can easily identify the center value of the set by gradually crossing off numbers from either side of the data set until we are left with one value..

We are left with 80. Therefore the median of Tom's cruise control speeds is 80.

Example Question #106 : How To Find Median

Find the median:  

Possible Answers:

Correct answer:

Explanation:

The median is the central number in an odd numbered set, or the average of the left and right number of the central point.

The set is already in chronological order from least to greatest.

The left number to the center is .

The right number to the center is 

Add these two numbers and divide by two.

The median is .

Example Question #107 : How To Find Median

Find the median of the following set:  

Possible Answers:

Correct answer:

Explanation:

The numbers are already in chronological order.

Since there is an even amount of numbers, the median is the average of the two numbers to the left and right of the center.

Average the numbers four and nine.

The answer is:  

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