Common Core: 6th Grade Math : Grade 6

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #13 :Median

荷瑞修的足球队取得以下号码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 numbersin 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 #11 :How To Find Median

荷瑞修的足球队取得以下号码of goals in their lastgames:

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

Possible Answers:

The median will increase by

The median will increase by

The median will remain unchanged

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 havenumbers in this set) we take the average of the middle two numbers.

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

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

The middle two numbers are stilland.

The Median will remain unchanged.

Example Question #773 :Isee Middle Level (Grades 7 8) Mathematics Achievement

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 #11 :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 #131 :Data Analysis And Probability

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 #132 :Data Analysis And Probability

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 :How To 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 #2 :How To Find Range

Find the range of this set of numbers:

525, 436, 142, 213, 641.

Possible Answers:

Correct answer:

Explanation:

首先,从最小到最大的数字。Then, find the difference between the largest and the smallest number.

Answer: The range is

Example Question #3 :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 andis the smallest number. The range, or difference, between these two numbers, is.

Learning Tools by Varsity Tutors