jess & danny math exit project
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Statistics in Math =]
By: Jessica Laura and Daniel Mole’
The Average
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 many others.
Histograms
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
The mean is the total of the data divided by the total amount of numbers in the set. Also called arithmetic
mean.
Example: What is the mean of this set of numbers? 2, 4, 6, 8, 10.
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 MedianThe 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.
The Mode
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 frequency.
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.
Multimodal Distribution
A distribution with a mode greater than one. The histogram of a multimodal distribution has more than
one “bump”.
A bump is the difference between two bars in a histogram.
The Range
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.
Total
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
scores. Jon got a 735, Danielle got a 675, Jamie got a 650, Amy got a 790, Jessica got a 790, Danny
got a 625, and James got a 780.
Range: ___
Mean: ___
Median: ___
Mode: ___
Total: ___
Make a Histogram: ___
Answers
Range: 165
Median: 735
Mean: About 609
Mode: 790
Total: 5,020
Jon
Danielle
Jamie
Amy
Jessica
Danny
James
0200400600800
1000
Test Scores
Students
Score
s
Bibliography
www.shodor.org/interactivate/lessons/introstatistics
7th grade Impact Math Copyright 2009
www.easycalculation.com/statistics/mean-median-mode.php