Unit 10: Statistics

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Transcript Unit 10: Statistics

CCM IA
WARMUP
Examine the distribution of the number of pennies stacked using
their dominant hand by students in Ms. Smith’s first period Math 1A
class.
1. How many students were in the first-hour class? 23
2. What percentage of students stacked more than 40 pennies using
their dominant hand? 12/23 = 0.5217… = about 52%
3. Describe the shape and center of the plot in context.
Skewed left, 40-43
4.
What do you think the plot for the second period class might look
like? Explain. Varies
Homework Answers for U2D3 HW:
Homework Answers for U2D3 HW:
QUIZ
Common Core Math I Unit 2:
One-Variable Statistics
Measures of Center and Spread
Objective
Students will be able to…
• Interpret data based on the shape of a data
distribution
• Choose the appropriate measures of center
(mean or median) and spread (standard
deviation or interquartile range) to describe
the distribution.
• Interpret summary statistics for center and
spread in the context of the data.
Think About the Situation
Discuss the following with your partner or group.
Write your answers on your own paper. Be
prepared to share your answers with the class.
• What do you think is the typical number of letters
in the full names (first and last) of your classmates?
• What data do you need to collect and how would
you collect it?
• How would you organize and represent your data?
• If a new student joined your class today, how might
you use your results to predict the length of that
student’s name?
Investigation 1:
Dotplots vs. Histograms
Describing Data
Two ways to describe data:
• Graphically
Dot plot
Histogram
– Boxplot
• Numerically
– Measures of Center
– Measures of Spread
Describing Data Numerically
• Measures of Center –
mean, median
• Measures of Spread –
range, interquartile
range, standard
deviation
S-ID.2 Use statistics appropriate to
the shape of the data distribution
to compare center (median, mean)
and spread (interquartile range,
standard deviation) of two or more
different data sets.
Measures of Center
What is the typical value?
Investigation 2: Finding the Median
Investigation 3:
Experimenting With the Median
Name
Pete Thomas
Shaquana Smith
Number
of Letters
10
Huang
Mi
Stewart Hughes
Huang Mi
Richard Lewis
Virginia Bates
Angel Mendoza
Mary Wall
Danielle Duncan
Will Jones
Ana Romero
Jana Turner
7
letters
William Arthur Philip Louis Mountbatten-Windsor
Homework
HW1: U2D4 HW