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UNIT 1 - STATISTICS
Lesson Goal: Students will be
able to find Measures of Central
Tendency and construct a
BoxPlot.
Work together with the people in your assigned group.
Taking turns with the people in your group, each person will wink his/her right eye
for one minute. The others in the group will count the number of winks and
record the result in a table.
Person
1
2
3
Winks
You have 5 minutes to collect the data/observations.
4
1.) Find the Measures of Central Tendency for the data.
Median = ________ Mean = _________ Mode = __________
2.) Which person in your group is closer to having the median?
3.) Suppose another person joins your group. How many times would
this person have to wink in one minute to raise the mean by 10 winks?
Be prepared to share your results with the class.
Mean – “the average value” – add up all values and divide by the
number of observations
Represented by x bar - x
Mode – the value or values that occur most often
Range – the difference between the greatest and the least
observations
Median – “the middle value” – the midpoint of a distribution, the
number such that half the observations are smaller and the other
half are larger. To find the median of a distribution:
1. Arrange all observations in order of size, from smallest to
largest.
2. If the number of observations is odd, the median M, is the
center observation in the ordered list.
3. If the number of observations is even, the median M, is the
average of the two center observations in the ordered list.
Let’s gather data/observations from each group.
Group
1
2
3
4
5
6
7
8
Mean
Median
Mode
What is the class mean, median, and mode?
Put the observations into order from least to greatest.
Mean =
Median =
Mode =
With a little bit more information we can represent the data in a
box-and-whisker plot. Another name is boxplot.
minimum
First
Quartile
(Q1)
Median
Interquartile range (IQR)
Third
Quartile
(Q3)
maximum
The quartiles are the medians of the lower and upper halves of the data
set.
The Interquartile Range, IQR, is the difference between the 1st and 3rd
quartiles, or Q3 – Q1. It represents the middle 50% of the data.
Using the mean observations from the class groups wink count list the data in
order from least to greatest. Identify the median, minimum value, maximum
value, Q1, and Q3.
Example:
Make a box-and-whisker plot for the set of data.
9 12 10 3 2 3 9 11 5 1 10 4
7 12
3 10
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