Please complete the following questions. It is important that you showall work you did to solve the problems when you submit your work. Thisincludes any calculations, diagrams, or graphs that helped you solve it.
Writing in Math Use the information onpage 737 to explain what statistics a teacher should tell the classafter a test. Include the mean, median, and mode of the given data setand which measure of central tendency you think best represents the testscores and why. How will the measures of central tendency be affectedif Mr. Dent adds 5 points to each score? Page 737 is in the attachments. Writing in Math Use the information onpage 762 to explain how surveys are used in marketing. Find the marginof error for those who spend $249 or less if 807 mothers were surveyed.Explain what this margin of error means. Page 762 is in the attachments. American
High School
On Mr. Dent’s most recent Algebra 2 test, his students earned the
following scores.
y to
of
***
72|70|7176 90 68 81 86|34|94|
71 84 89 67 19 85 75 66/80|94|
por un
lary
73
When his students ask how they did on the test, which measure of
central tendency should Mr. Dent use to describe the scores?
on
Measures of Central Tendency Data with one variable, such as the tes
scores, are called univariate data. Sometimes it is convenient to have on
number that describes a set of data. This number is called a measure of
central tendency, because it represents the center or middle of the data.
The most commonly used measures of central tendency are the mean,
median, and mode.
When deciding which measure of central tendency to use to represent a
set of data, look closely at the data itself.
CONCEPT SUMMARY
Measures of Tendency
Use
When…
the data are spread out, and you want an average of the values
median the data contain outliers
mode the data are tightly clustered around one or two values
Tip
mean
5. See
GET READY for the Lesson
Back-to-School Clothes Spending
$249 or less
$250-$349
$350 or more
Don’t know
10%
A survey was
conducted asking
mothers how much
they spend per student
on back-to-school
clothing. The results of
the survey are shown.
When polling
organizations want
to find how the public
feels about an issue,
they survey a small
portion of the
population
20%
49%
21%
Source: Harris interactive for Sears. Roebuck
page
76 .
Bias To be sure that survey results are representative of the population,
polling organizations need to make sure that they poll a random or
unbiased sample of the population.
EXAMPLE
Biased and Unbiased Samples
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