USA
AMC 10
2010
A
1
1 Marys top book shelf holds ve books with the following widths, in centimeters: 6, 2 , 1, 2.5,
and 10. What is the average book width, in centimeters?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
2 Four identical squares and one rectangle are placed
Section 2.1 - Visualizing Distributions: Shape, Center, and Spread
Objectives:
1.
2.
3.
4.
5.
Learn the basic shapes of distributions of data uniform, normal, skewed.
Describe the characteristics of the shape of a
distribution, including symmetry, skewnes
Section 2.2 - Graphical Displays of Distributions
Objectives:
1.
Learn the difference between a case and a variable
and between quantitative and categorical variables.
2.
Make and interpret the most common graphical
displays: histogram, relative frequency
Section 2.3 - Measures of Center and Spread
Objectives:
1.
Compute and interpret the mean and the median.
2.
Compute the five-number summary and the
interquartile range, and to identify outliers.
3.
Make and interpret boxplots.
4.
Compute and interpret th
Section 2.4 - Working with Summary Statistics
Objectives:
1.
Learn the effect on summary statistics of a linear
transformation of the data.
2.
Learn which summary statistics are resistant to outliers.
3.
Interpret percentiles and read cumulative frequency
Section 2.5 - The Normal Distribution
Objectives:
1.
Find areas under the normal curve
2.
Learn to convert values to z-scores (standardize)
3.
Learn to convert z-scores to values in the original units
4.
Use a table of the normal distribution to estimate
Section 3.1 - Scatterplots
Objectives:
1.
2.
3.
4.
Make a scatterplot and describe its basic shape in
terms of linearity, curvature, clusters, and outliers.
Describe whether the trend in a scatterplot is positive or
negative.
Describe whether the strength
Section 3.2 - Getting a Line on the Pattern
Objectives:
1.
2.
3.
4.
5.
6.
7.
8.
Interpret the slope and y-intercept in the context of the situation.
Understand when it is appropriate to use a fitted line to model a
relationship and to predict y when the v
Section 3.3 - Correlation: The Strength of a Linear Trend
Objectives:
1.
2.
3.
4.
5.
6.
Estimate the correlation from a scatterplot
Understand that correlation should not be computed from data that
are not linear and that a high correlation does not mean
Section 3.4 - Diagnostics: Looking for Features That the Summaries Miss
Objectives:
1.
2.
3.
Identify a potential influential point by examining a
scatterplot
Determine whether a point is influential by excluding it
when computing the correlation and equa
Section 3.5 - Shape-Changing Transformations
Objectives:
1.
2.
3.
4.
Understand that removing the curvature from the shape
of a scatterplot requires a nonlinear transformation
Use a log transformation to straighten data that follow
an exponential pattern
Chapter 4 - Sample Surveys and Experiments
The overall goal of Chapter 4 is to learn good data
collection - how to design a survey by randomly
selecting participants and how to design a sound
experiment by randomly assigning treatments to
subjects - that
Section 4.2 - Playing It Safe by Taking Chances
Objectives:
1.
Understand the two main reasons for relying on chance
to choose samples (guaranteed to be unbiased and
makes inference possible)
2.
Learn the definition of a simple random sample
3.
Recognize
Section 4.1 - Why Take Samples, and How Not To
P1. You want to estimate the average number of TV sets
per household in Mount Olive Twp.
a. What is the population? What are the units?
b. Explain the advantages of sampling over
conducting a census.
c. What
Section 4.2 - Playing It Safe by Taking Chances
P7. Decide whether these sampling methods produce a
simple random sample of students from a class of 30
students. If not, explain why not.
a. Select the first six students on the class roll sheet.
Section 4.
Section 4.3 - Experiments and Inference About
Cause
Objectives:
1.
Recognize cause and effect and that the only way to establish
cause and effect is with a randomized comparative experiment
2.
Know the characteristics of a well-designed experiment
3.
Know
Section 4.3 - Experiments and Inference About
Cause
P14. Research has shown a weak association between
living near a major power line and the incidence of
leukemia in children.
Such a study might measure the incidence of leukemia
in children who live near
Section 4.4 - Designing Experiments to Reduce
Variability
Objectives:
1.
2.
3.
4.
Distinguish between variability within treatments and
the difference between treatments
Understand that it is desirable to reduce variability
within treatments by strategies