How do i calculate mean, median and mode from a frequency distribution chart?

Question

I'm trying to find the mean, median and mode from a freq. distribution chart... but i cannot find these.

I do not have a graphing calc. , plus we cannot use one. So, with a scientific calc. How do i figure these out?

for example,

Score* (Number of Students)

10 - 6

9 - 13

8 - 12

7 - 11

6 - 13

5 - 5

with a scientifc calc. , how do i figure out the mean, median and mode with this freq. distribution chart.

Thanks.

Answer 1

Mean: The average value of the data set

Median: The middle value in the data set

Mode: The value occurring most often in the data set

Answer 2

Mean, median, and mode are three kinds of "averages". There are many "averages" in statistics, but these are, I think, the three most common, and are certainly the three you are most likely to encounter in your pre-statistics courses

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers. To find the median, your numbers have to be listed in numerical order, so you may have to rewrite your list first. The "mode" is the value that occurs most often. If no number is repeated, then there is no mode for the list.

Answer 3

See the site listed in scouce.

Check your answers against:

Mean = 7.55

Median = 8

Mode = 6 and 9

***NEW***

I tried to reply to your question but it did not seem to work so I am adding it here also

There were 60 data points. Line them up in ascending (or descending) order and count 30 from either end and you are in the data points with a value of 8. (With an even number of data points the is no exact middle where there are an equal number of points on each side. But in this case, as often happens. there are fifteen points on each side of 30.5 and the values at the 30th and 31st points are both 8 so that's the answer. The web site I pointed you to discusses what to do in other cases.