Common Core: 6th Grade Math : Grade 6

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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Example Questions

Example Question #12 : How To Find Median

Horatio's soccer team has scored the below number of goals in their last eight games, what is the median number of goals that have been scored? 

Possible Answers:

Correct answer:

Explanation:

First we must put the numbers  in order from least to greatest. 

After the numbers are in order, if it is an odd number of numbers we chose the middle number - that is the median. 

In this case, we have an even number of numbers, so we must take the average of the middle two numbers which is given below: 

So the median is !

Example Question #13 : How To Find Median

Horatio's soccer team has scored the below number of goals in their last  games: 

Horatio calculates the median to be  for this set of data. He then goes back and finds that the game where he thought they scored 9 goals; his team actually scored  goals - how will this change the median if he replaces the  with  in the data set? 

Possible Answers:

The median will increase by 

The median will remain unchanged

The median will increase by 

The median will increase by 

Correct answer:

The median will remain unchanged

Explanation:

When finding the median we must first reorganize the numbers from least to greatest, here is what the numbers are before and after they were organized. 

Given: 

After Organized from least to greatest: 

In order to find the Median for an even number of numbers (we have  numbers in this set) we take the average of the middle two numbers. 

Here we would add  which is , we then divide by two to find the mean which is

If we were to change the  to an , this does not impact the middle two numbers, they will remain  and  which means the Median will remain

The middle two numbers are still  and

The Median will remain unchanged.

Example Question #11 : Find Median

In Jane's previous six basketball games, she made the following number of baskets:

What is the median number of baskets she made?

Possible Answers:

Correct answer:

Explanation:

The first step to finding the median is to reorder the number of baskets that Jane scored from smallest to largest. This gives us:

The median number is the number in the middle of the set. Given that there are two middle numbers (4 and 6), the average of these numbers will be the median. 

The average of 4 and 6 is:

Example Question #14 : How To Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest. 

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is 

Example Question #12 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 9.44.17 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest. 

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is 

Example Question #13 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 10.03.05 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest. 

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is 

Example Question #14 : Find Median

Find the median of the data set provided:

Screen shot 2016 04 05 at 10.19.45 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of median:

Median: The median of a data set is the middle value, when the data set is ordered from least to greatest. 

In order to find the median, we need to first organize the data from least to greatest:

Next, we can solve for the median by finding the middlemost number in our data:

The median for this data set is 

Example Question #1 : Find Range

Find the range of this set of numbers:

89, 54, 76, 89, 94.

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest, then find the difference of the highest number and the lowest number.

 

Answer: The range of this set of numbers is 40.

Example Question #1 : Find Range

Find the range of this set of numbers:

525, 436, 142, 213, 641.

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest. Then, find the difference between the largest and the smallest number.

Answer: The range is

Example Question #2 : Find Range

What is the range of the set of numbers ?

Possible Answers:

Correct answer:

Explanation:

The range of a set of numbers is the difference between the largest and smallest numbers. In this set,  is the largest number and  is the smallest number. The range, or difference, between these two numbers, is .

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