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Mathematics 146 first homework
due Monday, October 6 , 2014
please show your work to get full credit for each problem
1. The following table summarizes the years the 26 houses on my block were built:
year frequency
1940
3
1941
3
1942
2
1944
1
1947
2
1948
2
1950
2
1951
1
1963
1
1981
1
1983
1
1987
1
1991
1
1997
1
2001
3
2012
1
(a) calculate the mode, median, and mean of the years.
(b) calculate the five number summary for the years ( MIN , Q1 , Q2 , Q3 , MAX )
(c) graphically present the data ( choose your favorite kind of presentation . . . )
(d) does the distribution of years skew to the left or right ?
(e) calculate range, the interquartile range, the standard deviation, and the M.A.D. (median absolute deviation from the median) for the years.
(f) what percent of the years are within one standard deviation of the mean year ?