Mean, Median and Mode

Mean, median and mode are the three basic ways of looking at the average or typical value of a set of numbers.

Mean

The mean represents the pure average, and, in fact, the word “mean” is often interchangeable with the word “average.” To find the mean of a set of numbers you add up all of the numbers and divide that sum by the number of values you added together.

For example, let’s say you want to know your score so far in a course where there have been five equally weighted assignments. So far you’re scores have been 95, 89, 70, 90, and 98.

First add these numbers together.

Now you divide that number, 442, by the number of assignments you’ve had so far, which is 5.

So your score in that class right now is 88.4.

Median

The median number is the number that is in the middle of a set of numbers. To find the median you first need to order the numbers from smallest to largest. So, using the scores from above:

70, 89, 90, 95, 98

Now find the one in the middle. That’s your median. 90 is the median test score.

If you have an even number of values, find the two in the middle and find the mean of those two. For example, let’s say you just got another assignment back. And, congratulations, you got a 100! Just order all the scores as before.

70, 89, 90, 95, 98, 100

Find the two in the middle: 90 and 95. Average them.

Your median is now 92.5.

Mode

The mode is the value that occurs the most often in a set of values. To find the mode, count the number of times the most common numbers occur. The one that occurs the most often is the mode. Since the assignment scores are all different numbers there is no mode in the example above. Let’s say instead that for assignment 3 the scores for each student were as follows

90, 84, 59, 78, 97, 91, 90, 84, 96, 89, 80, 79, 91, 99, 86, 91

What is the mode? You will be able to see common occurrences more easily if you order the numbers. If you do that you will see that there are two 84s, two 90s and three 91s. 91 occurs the most often, so 91 is the mode.

Share and Enjoy:
  • Print
  • Digg
  • StumbleUpon
  • del.icio.us
  • Facebook
  • Yahoo! Buzz
  • Twitter
  • Google Bookmarks

Comments

  • desa

    this was awesome review

  • CYNTHIA ROSALES

    THIS MADE IT MUCH EASIER FOR ME THANKS

  • jessica

    thanks for the help

  • Catresha

    LUV THE SITE!:0) VERY HELPFUL!

  • Catresha

    #full breakdown # luv it :0 )

  • Charles

    This is good!!

  • nanzina

    this is the best! it cant come any better! thanks z! i only have to pass my math to get my ged but i am not passing after 8 times i think my problem is not using the calculator more what is the best way on how to use it? so i can pass the calculator part? please help i got to pass this math before i loose the whole thing in dec. i am so upset that i am not scoring high enough to pass.i am over it but i do not want to give up i have come so far and i wont give up, please help me pass some how. blessings to you and thank you z….

    • Catresha

      Start on the first page of basic operations,& you’ll find some info on the casio -fx-260. Book to get : math sense (the purple book) on decimals,fractions,ratios,&percents. Cost of book is somewhere between $16.00-$25.00. Very helpful info on the casio-fx-260 caculator. Great book study book also! Oh also when you purchase the calculator(the directions) on how to use it should be helpful also. Hope I could help 🙂

    • Catresha

      The book is by New Readers Press , Math Sense ( the purple book) on decimals, fractions, ratios & percents. Also gives you help with the ( calculator) Casio -fx 260

  • Catresha

    Hi everyone 🙂 I take the mathematics part of the GED test today & I feel sooooo good ! #Staying Strong !

    • Ziyi

      I’m sure you’ll pass! Thanks so much for helping out others and let us know how it goes!

      • Catresha

        Your very welcomed,& thanks for the encouragement. Took the test( did,nt pass) ,a little discouraged because everything in the test booklet I,m familliar with(noticed something)seemed like the multiple choice had incorrect answers! Would like to know if thats a possibility?? I,m confident&sure at the testing site(not upset or worried,but something seems terribly wrong here!?? :0) gonna stay strong,taking it again! Need that diploma! :0)

        • Ziyi

          Sorry to hear that 🙁

          That’s definitely possible there was something wrong with the test, though. I heard something on the radio the other day about more and more tests having errors because of budget cuts.

          Don’t worry, even if you have to take it next year, they are making the test more focused so maybe it will be easier to pass.

          Don’t give up!

          • Catresha

            Thanks a lot :0) ! Not giving up at all! Staying strong as always :0) ,Thank you for all that your doing ,& I,ll keep you posted on any new happinings. “Oh got your email on the videos for Math4GED ,very helpful :0) , I appreciate it

      • Catresha

        “Also wanted to say,the area was a little hostile(comotional) ; a slight outburst,basically it got a little loud&crazy! Also I felt time stricken,but manage to answer all questions:0) .I feel that a lot of the comotion is coming from the fact that theres a deadline of January ,&everybody,s herdding in. They had to use 2 rooms (packed;crowded) ,& that clearly spoke deadline ; pressed for time style to me.

      • Catresha

        Noticed I mispelled commotion & managed (just like to spell check) ; great reading practice ! Remember the way you speak is the way you read & write (which should always be in the correct form, fashion,&manner

  • Manha

    How did you get the zero in the answer? I got everything right except the zero .

    • Manha

      And thank you for this site its really HELPFUL!

Leave a Reply

Your email address will not be published.

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>