Three measures of central tendency are
Three measures of central tendency are: ______________, _____________, and _________ .
2. If are the data values of a distribution, then:
a)
b) = ________________________________
c) ______________________________
d) ____________________________
3. The formula for the population mean is ________________________________
4. In a distribution which has an odd number of data values, the mean is 100, and the median is 75. The middle data value is ______________________.
5. In a distribution, the data value that appears most frequently is called the ______________.
6. A distribution containing more than two modes is called a _________________ distribution.
7. The mean of a sample is denoted by _________________.
8. The formula for variance of the population, , is ________________________
9. The formula for the sample standard deviation, s, is ______________
10. According to Chebyshev’s Theorem,
a) approximately ______% of the data values will lie within two standard deviations of the mean;
b) approximately ______% of the data values will lie within three deviations of the mean.
11. The z score of a data value is calculated by the formula:
z = ___________________
12. If then we state that 82 is the 20th ____________________
13. If then we state that 40 is the first ____________________
14. If then the median is _____________________________
15. The z score of a data value indicates how many standard deviations the data value is above or below the _______________.
Part 2
Please show all work. No work might mean no credit.
15 points
16. The following data represents the number of members within each household of fourty high school students:
7 4 5 5 6 5 10 8 5 5
6 9 4 5 4 4 7 6 8 5
6 5 3 4 2 5 4 5 4 3
3 4 5 3 4 5 4 2 3 6
Construct a frequency distribution table using 5 classes. Determine the class marks, class boundaries, frequencies, and relative frequencies for each class.
10 points
17. The following distribution represents real estate listings for homes in Southern California:
$375,000 $525,000 $425,000 $1,486,000
$510,000 $655,000 $425,000 $490,000
$575,000 $505,000
Determine the mean, median, and mode for these prices.
10 points
18. For the distribution: 6, 2, 4, 4, 5, 3, 5, 3, 1, 7, find:
a) the mean
b) the median
c) the mode
d)
e)
f)
10 points
19. For the distribution: 3, 5, 8, 13, 21 compute the:
a) range
b) variance
c) population standard deviation.
10 points
20. The following distribution represents the number of homeruns that Babe Ruth hit
during 1919 – 1934:
29 54 59 35 41 46 25 47
60 54 46 49 46 41 34 22
For the given distribution, determine:
a) the 1st quartile, median, and the 3rd quartile
b) construct a boxplot
c) construct a stem-and-leaf plot.
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