Median and Range

-

 Today's lesson is all about median and range. 

Median : is the middle number in a given set of data.

example: 9,5,6,8,3

Step 1: Rearrange the numbers from least to greatest.

Step 2: 3,5,6,8,9

Step 3: Cross off the numbers starting from left, then right, left then right, until you come up with only 1 number

3,5,6,8,9  In my case I underlined and made the numbers darker. So, the middle number here is 6.  The median is the #6.

In some situations there maybe more than 1 number. If there are two middle numbers, you add both of them and divide by 2 to get your median.

ex. 4,1,7,6,2,8

Step 1: Rearrange the numbers from least to greatest.

             1,2,4,6,7,8

Step 2: Cross off the numbers starting from the left to right, left, to right.

In my case, I will make the numbers darker and underline them.

            1,2,4,6,7,8

Because there are two numbers left 4,6,you add the two 4+6=10 , then divide by 2,

10/2= 5. The median is 5. 

Remember that you can use a calculator. 

Range: to find the range of a given data, you take the highest number and subtract it from the least number.

ex. 95,92,87,85,80,78,76,73,72,70,66,54

Step 1: Rearrange the numbers from least to greatest.

Step 2: 54, 66,70,72,73,76,78,80,85,87,92,95

Step 3: Look for the highest number which is 95, look for the smallest number which is 54.

Step 4: Subtract the two numbers: 95-54= 41

The range is 41. 


Comments

Post a Comment

Popular posts from this blog

The Effects of Outliers on Average December 14,2020

-
Image
 The Effects of outliers on average Here is a review of what you have learned already: What are mean, median, and mode? They are measures of central tendency or averages. What is the mean of a set of numbers? It is the sum of data values divided by the number of data values.  What is the median of a set of numbers? It is the middle number when numbers are arranged in order. What if there is an even number of numbers? The median is the mean of the two middle numbers. What is the mode of a set of numbers? It is the number that occurs most often. Is there always one mode? No, there may be more than one mode or there may be no mode.  What is the range of a set of numbers? It is the difference between the greatest number and the least number.  Outlier: a number in a given set of data that is significantly different from the other numbers.  An outlier is much greater than or much less than most of the numbers in a data set.  Outliers sometimes occur as ...
Read more

Expressions and Equations

-
Image
 Directions: Identify which is an expression or an equation and explain how you know. Remember that an expression is a mix of numbers/variables, operations such as adding, subtracting, multiplying, and dividing, without an equal sign. ex. 9y A equation has 2 expressions separated by a equal sign, and each expression has the same value as the other; ex. 5 + 3m=11. 1. 4w=48___________________________________________________________________________ 2. g-11____________________________________________________________________________ 3. 3d+5____________________________________________________________________________ 4. x/12=8__________________________________________________________________________ 5. j-5/10___________________________________________________________________________ 6. 6z+1=67________________________________________________________________________ ( If you forget how to solve, review back on the video of expressions and equations).
Read more