Download STATISTICS – Topic 9 Review

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STATISTICS – Topic 9 Review
Use the following lists to calculate the requested values.
Do each calculation “by hand” first then check them on your graphing calculator.
1.
1, 13, 7, 6, 10, 8, 11, 5, 2
a. 5-number summary: _______
b. mean = _________
_______
c. range = _________
e. MAD = _________
2.
_______
_______
_______
d. IQR = _________
f. Sx = _________
10, 7, 12, 4, 8, 15, 11, 12, 11
a. 5-number summary: _______
b. mean = _________
e. MAD = _________
_______
_______
c. range = _________
_______
_______
d. IQR = _________
f. Sx = _________
General Questions:
4.
The GPA at Kenston has a normal (mound shaped and symmetric) distribution with
a mean of 2.9 and a standard deviation of .35.
a.
Label the x-axis with the appropriate GPA values.
b.
95% percent of the scores fall between what two values? __________ ___________
c.
What percent of scores fall between 2.55 and 3.25? __________
d.
How many standard deviations away from the mean is 3.75?
e.
How many standard deviations away from the mean is 2.15?
f.
What GPA is 1.20 standard deviations above the mean?
Vocabulary:
A. 1-Var Stats
_____ 5. A characteristic of a distribution that looks not just at the center
of the distribution but the spread (range, IQR and Sx).
B. Empirical Rule
_____ 6. A characteristic of a “normal” distribution where 68% of the data
falls within 1 Sx of the mean, 95% falls within 2 Sx of the mean,
and 99.7% falls within 3 Sx of the mean.
C. IQR
_____ 7. The median of the lower half of a set of data. 25% of the data
falls below this value while 75% falls above it.
D. MAD
_____ 8. The average of a set of data.
E. maximum
F. mean
_____ 9. A measure of spread that represents how far a value is from the
mean. It is calculated by taking each number in the list,
subtracting the mean, squaring the result, adding those values
together, dividing by n-1, then taking the square root.
_____ 10 A process that converts data to a common scale so accurate
comparisons can be made.
G. median
_____ 11. The smallest value in a set of data.
H. minimum
_____ 12. A calculator command that lists summary statistics.
_____ 13. The largest value in a set of data.
I. mode
_____ 14. The spread of a set of data. It is calculated by max – min.
J. Q1
_____ 15. The “middle” of a set of data. 50% of the data falls below this
point and 50% falls above it.
K. Q3
_____ 16. The median of the upper half of a set of data. 75% of the data
falls below this value while 25% falls above it.
L. range
_____ 17. A calculation that measures exactly how many standard
deviations a value is above or below the mean. It is calculated
by xsxx .
M. standard deviation
N. standardization
_____ 18. A measure of spread that represents how far a value is from the
mean. It is calculated by taking each number in the list,
subtracting the mean, taking the absolute value, then averaging
the results.
O. variation
_____ 19. The spread of the middle 50% of the data. It is calculated by
Q3 – Q1.
P. z-score
_____ 20. The most common value in a list of data.
Match each of the following histograms with the appropriate summary data. Explain your choice.