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It is smarter to stay away from this sometimes
unclear term. It usually relates to the (arithmetic)
mean. It can also indicate the mode, median, the
weighted means, or the geometric mean, including
A Histogram, in which the
area of each bar’s interval
is not there. The bars are
connected and it shows a
difference between each
set of data.
The photo to the right is an
example of a histogram.
The mean is the total of the data divided by the total
amount of numbers in the set. Also called arithmetic
Example: What is the mean of this set of numbers? 2, 4, 6,
First, you have to add the numbers together, getting 20.
Then, you must divide 20 by the amount of numbers in
the set (which is five). The mean comes out to be 4.
The median is the middle value in a set of data. If the list has an odd
number of values, the median is the middle entry in the set, after
arranging the list into a rising order. If the list has an EVEN amount of
values, the median comes out to be both the sum of the two numbers
divided by 2. The median can also be estimated using a histogram.
Example: What is the median in this set of numbers?
2, 8, 9, 12, 4, 5, 6, 6, 10, 6.
First, we have to put the numbers into increasing order. It comes out
to be 2, 4, 5, 6, 6, 6, 8, 9, 10, 12. We have to find the number located
in the middle.The median is 6.
For all lists, the mode is really the number that appears
the most. A list can have over one mode. A list has
no mode when every number comes up with the
same frequency. A list has more than one mode
when two or more numbers come up with the same
Example: Find the mode in this set of numbers:2, 3,
6, 7, 8, 11, 13, 2, 4, 2. The mode is 2, since it
appears three times.
A distribution witha mode greater than one. The
histogram of a multimodal distribution has more than
A bump is the difference between two bars in a
The range in a set of data is the smallest number
subtracted from the greatest number. The range is a
single number, not several numbers.
Example: What is the range in this set of numbers?
64, 99, 82, 73, 58. The range is equal to 99 – 58,
which is equal to 41.
The total is the total number of the sum. It is equal to all
the numbers in the set added together.
Example: What is the total of this data set? 1, 2, 3, 4,
5, 6, 7, 8, 9, 10. We have to add them all together,
which comes out to be 55.
Get to Work
James and his friends
compared state wide test Mean: ___
scores. Jon got a
735, Danielle got a
675, Jamie got a 650, Amy Mode: ___
got a 790, Jessica got a
790, Danny got a 625, and Total: ___
James got a 780.
Make a Histogram: ___
Range: 165 800
Median: 735 500
Mean: About 609 200
7th grade Impact Math Copyright 2009