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### Course: Class 9 (Old)>Unit 10

Lesson 3: Mean. median, mode, range

# Reading bar charts: putting it together with central tendency

Let's combine some learning! Here we looking at bar charts and using the information to determine the measures of central tendency. Created by Sal Khan.

## Want to join the conversation?

• what is median?
• A median is the number in the middle of a set of numbers. Sometimes, though, a group of numbers doesn't have one middle number. That happens when there is an even amount of numbers. To find the median you add the two middle numbers and divide by two.

Example: If you have 2,7,8,10, the median would be 7+8 divided by 2, which equals 7.5
• whats the difference between range and midrange?
• Avin, Great question!

A range is the difference between the lowest and highest values of the data set. For example, if the data set was 5, 8, 2, and 9; the lowest value would be 2 and the highest would be 9. You could also write it as 2 - 9.

The midrange is the mean (another word for average, in case you didn't know) of the maximum and minimum (lowest and highest) values of the data set.
So if the data set was 5,7,6,9 then the maximum value would be 9 and the minimum would be 5. To find the average of 5 and 9 would be to add them and divide by 2.
9 + 5 = 14
14 / 2 = 7
7 would be the midrange of this example .

As you can see, range and midrange are two totally different things, and now you know the difference!
Hope this helps! :)
• Is there a faster way of getting averages than adding all of them and dividing?
• There isn't a general way with random data that's simpler, but there are sometimes tricks with certain data. If all your numbers are identical (like `4 4 4 4 4 4`, then there's no need to add and divide - the answer is simply that number, in this case `4`.

If you had `4 4 1 4 4 4 4`, instead of adding everything, you could do `4*6+1` and then divide, to be a little easier.

If you have an odd-count linear sequence of numbers, like `3 4 5 6 7 8 9 10 11` then the answer is just the average of the lowest and highest numbers, in this case `3+11/2 = 7` so the average is just `7`.
• i need help what is the range :(
• The range is the difference between the lowest and highest values. For example, if the data set was: 3,6,11,9,2; the highest number would be 11 and the lowest would be 2 and you would subtract those to get 9. You could also write it as 2-11.
• what is a mean
• It's s/a where s=sum of the numbers and a= amount of the numbers. So 3,4,5 would be 12/3 or 4/1 which is 4. Hope this helps!
• what is median and midrange.
• the medain is the middle # the midrange is the middle part of a range
• In what situation (IRL) would the mean or range of something come in handy?
• What is the purpose of finding the midrange? it seems a kind of useless concept to me
• it helps to find the average, median, and mean easier later down the line. it also allows people to see where things are average.