What is a median What is a mode Mean Median Mode and Range Mr Haupt CC22HSD1 Measure of central tendency Mean median and mode are all part of what is called the measures of central tendency ID: 811466
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Slide1
Bell Ringer
What does the word “average” mean in math?
What is a median?
What is a mode?
Slide2Mean, Median, Mode, and Range
Mr.
Haupt
CC2.2.HS.D.1
Slide3Measure of central tendency
Mean, median, and mode are all part of what is called the “measures of central tendency.”
They are all
ways that
we can organize and summarize data, so that we can understand it.
Slide4Mean
The mean is used to describe the middle of a set of data that does NOT have an outlier.
An outlier is a data value that is way higher or way lower than the other data values.
So, if most of your values are between 2 and 12, and then one value is 138, that is an outlier.
Why can you not do the mean with an outlier?
To find the mean, you add all the data items, and then divide by the total number of data items.
Slide5Example #1
Find the mean of:
12, 15, 23, 19, 9, 16, 18, 24
Slide6Median
The median is the middle number of a data set when the data are put in order.
If the median is two numbers, find the mean of those numbers.
Think of it like a road median. It is in the middle of the road.
Slide7Example #2
Find the median:
12, 24, 13, 18, 16, 10, 25
Slide8Mode
Mode is the most common data value in a set.
There can be no mode, one mode, or multiple modes.
Slide9Example #3
Find the mode:
12, 17, 9, 8, 11, 8, 5, 9, 15, 18, 7, 13
Slide10Range
The range of a set of data is simply the largest number minus the smallest number.
Slide11Example #4
Find the range:
100, 98, 151, 88, 125, 164, 101, 99
Slide12Interquartile Range
Lower quartile and upper quartile
Lower Quartile
Find the median of the lower half of the number set
Upper Quartile
Find the median of the upper half of the number set.
Slide13Box and Whisker Plots
Box and whisker plots are graphs that summarize a data set using a number line. There is a box in the middle, and whiskers off the sides.
The box uses the median, lower quartile, and upper quartile.
The whiskers use the minimum and maximum.
Slide14Example #5
Make a box and whisker plot:
12, 24, 32, 25, 26, 16, 10, 27, 18, 13, 20