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# Stem-and-leaf graph interpretation

Taking information from this expanded stem-and-leaf plot, answer the following questions.
6|589
6|0111244
5|555566677778
5|0111112244444
4|667899
4|23
(round all non integer answers to nearest tenth. Don't use Excel for Q1, Q3, or median; use the method from Lecture 3 instead.)
a) mean
b) median
c) mode
d) standard deviation as a population
e) Q1
f) Q3
g) IQR
h) highest z-score
i) lowest z-score
j) number of above average values

Part a) Find these following values.

7^3=_____ 7P3 = ______ 7C3 = _____ 3^7 = ______ 7! = _______ 3! = ________
Part b) Match the answers above with the answers to these following counting problems (some answers may appear more than once).

Explanation
b1) # of different ways to award gold, silver and bronze medals in a seven person race.
b2) # of different three letter combinations that can be made using only A, B, C, D, E, F and G, where duplication is allowed.
b3) # of different three letter combinations that can be made using only A, B, C, D, E, F and G, where duplication is not allowed.
b4) # of ways exactly three heads can be flipped on seven different coins.
b5) # of different ways to fly seven flags from seven flagpoles in a row, one flag per pole, where the available flag colors are red, white and blue.
b6) # of different ways to arrange the letters of the word UNCOVER into a seven-letter pattern with no letters repeated.
b7) # of ways seven gifts can be given to two children, where one child gets three gifts and the other child gets four gifts.
b8) # of different ways to award gold, silver and bronze medals in a three person race.
Answer the questions of probability based on the following table of the frequencies of gender and handwriting preference.

__________Female___Male
Right-handed__95_____92
Left-handed___10_____11
p(Left-handed) = __________
p(Left-handed | Female) = __________
p(Left-handed | Male) = __________
p(Female | Left-handed) = __________
p(Male | Left-handed) = ____________
p(Male and Left-handed) = __________
p(Male or Left-handed) = ___________

#### Solution Preview

Taking information from this expanded stem-and-leaf plot, answer the following questions.
6|589
6|0111244
5|555566677778
5|0111112244444
4|667899
4|23
(round all non integer answers to nearest tenth. Don't use Excel for Q1, Q3, or median; use the method from Lecture 3 instead.)
a) mean = 55
b) median = 55
c) mode = 51
d) standard deviation as a population = 6
e) Q1 = 51
f) Q3 = 58
g) IQR = 7
h) highest z-score = 67
i) lowest z-score = 43
j) number of above average values = 22
As I don't know what your lecture 3 says, I have found the value of median, Q1,Q3 in excel. If you send me the formulas or the lecture notes, I will do it for you.

Part a) Find these following values.

7^3=__343___ 7P3 = __210____ 7C3 = __35___ 3^7 = ___2187___ 7! = ___5040____ 3! = __6______

Part b) Match the answers above with the answers to these following counting problems (some answers may appear more than once).

7^3=7*7*7 =__343___
7P3 =7!/(7-3)! =5040/24=__210 ____
7C3 = 7!/ 3!(7-3)! = 5040/ 24 * 6 = ...

#### Solution Summary

This posting contains answers to questions based on the stem and leaf graph given.

\$2.19