Download Advanced Algebra Chapter 11 Review Make sure you know how to

Advanced Algebra
Chapter 11 Review
Make sure you know how to do the following:
Calculate the mean, median, mode, range and standard deviation
Bring your calculators!!!
Know what an outlier is
Understand what bias means
Know what the different types of samples are
Make sure you are able to calculate the margin of error and sample size separately
Interpret the 68-95-99.7 percentages and normal distribution curve
1.
Fill in all the possible percentages for the normal distribution curve.
2.
Find the mean, median and mode of the data set.
The number of gas stations per county: 135, 94, 217, 306, 142, 410, 63, 612.
3.
Identify the outlier in the data set.
Then find the mean, median, mode, range and standard deviation of the data set when the
outlier is included and when it’s not.
23, 26, 27, 19 25, 62, 22, 18, 15
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4.
The data set below gives the wages, in dollars, of landscape workers for one day. On a
holiday, such as the coming Memorial Day holiday, servers earn a 50% bonus to their
wage. Find the mean, median, mode, range, and standard deviation of their wages and
their wages with the bonus.
36.04, 33.23, 42.14, 63.11, 29.43, 47.66, 55.81, 82.14
Identify the type of sample describe. Then tell if the sample is biased.
5.
A journalist is sponsoring a poll, and wants to find out the preferences of cell phones
amongst teenagers across the state regarding their favorite type of phone they use. The
journalist surveys teenagers in the local city to gather his data
Find the margin of error for a survey with the given sample size. Round your answer to the
nearest tenth of a percent.
6.
1700
7.
250
Find the sample size required to achieve the given margin of error. Round your answer to the
nearest whole number.
8.
34%
9.
7%
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10.
Teams in the National Basketball Association are divided into two conferences, the
Eastern Conference and the Western Conference. The table below shows the margin of
victory in each conference’s championship series for the 1990-2004 seasons.
Western Conference Margins of Victory
48, 3, 19, 17, 4, 4, 14, 3,
13, 19, 13, 7, 17, 10, 14
Eastern Confernce Margins of Victory
2, 31, 10, 17, 10, 11, 17, 13,
3, 5, 41, 5, 17, 11, 17
a.
Find the mean, median, mode, range, and standard deviation of the Eastern
Conference margins of victory.
b.
Find the mean, median, mode, range, and standard deviation of the Western
Conference margins of victory.
c.
Compare the statistics for each set of data and make a conclusion about the data.
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11.
In a survey of 1350 U.S. adults, 41% said that they have purchased a product online. Find
the margin of error for the survey. Then give an interval that is likely to contain the exact
percent of all U.S. adults who have purchased a product online.
A normal distribution has a mean of 45 and a standard deviation of 6. Use the standard deviation
of 7. Find the indicated probability for a randomly selected x-value from the distribution.
HINT: Think about the percentages
12.
𝑃(𝑥 ≤ 51)
15.
𝑃(𝑥 ≥ 45)
𝑃(𝑥 ≤ 33)
14.
𝑃(𝑥 ≥ 33)
𝑃(𝑥 𝑖𝑠 𝑏𝑒𝑡𝑤𝑒𝑒𝑛 39 & 57)
17.
𝑃(𝑥 ≥ 57)
13.
16.
4