Name: ____________________________
Algebra I
Date: _________________ Period: ______
Homework # 4 – STUDY GUIDE
For problems 1 – 5, use the following data set:
{24, 22, 29, 17}.
1) Find the mean
________________
2) Find n.
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3) Find the mean absolute deviation (MAD).
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4) Find the variance (σ2).
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5) Find the standard deviation (σ).
________________
Using your calculator and the following data set below, answer the following questions
(round to the nearest hundredth where necessary):
{65, 56, 75, 72, 61, 58, 69}
6) x = ________________
7)  = ________________
For a given set of data, the mean is 42 and the standard deviation is 3.5 (round your answer to
the nearest hundredth, where necessary).
8) Find the z-score for a data point of 56.
________________
9) Find the z-score for a data point of 30.
________________
10) If a given data point has a z-score of 1.6, find its value.
________________
11) Label the normal curve for a data set with the following values. x = 90 and  = 8.5,
12) What does σ stand for and what does it tell us about a data set?
13) What does ∑ stand for and what does it tell us to do?
14) What measure of dispersion is best used when there are outliers? _______________
a.
b.
c.
d.
Variance
MAD (mean absolute deviation)
Mode
Range
15) For the quarter Jim Manny wants an average of exactly 95. If he already gotten a 90, 70,
94 and an 84, what does he need to get on the last exam of the quarter to real his goal ?