How Democratic is Georgia? County-by-county results are shown for a recent election. For your convenience, the data have been sorted in increasing order (Source: County and City Data Book, 12th edition, U.S. Census Bureau).
Percentage of Democratic Vote by Counties in Georgia
31 | 33 | 34 | 34 | 35 | 35 | 35 | 36 | 38 | 38 | 38 | 39 | 40 | 40 | 40 |
40 | 41 | 41 | 41 | 41 | 41 | 41 | 41 | 42 | 42 | 43 | 44 | 44 | 44 | 45 |
45 | 46 | 46 | 46 | 46 | 47 | 48 | 49 | 49 | 49 | 49 | 50 | 51 | 52 | 52 |
53 | 53 | 53 | 53 | 53 | 55 | 56 | 56 | 57 | 57 | 59 | 62 | 66 | 66 | 68 |
(a) Select the box-and-whisker plot of the data.
(b) Find the interquartile range.
(c) Make a frequency table using five classes.
class | 31-38 | 39-46 | 47-54 | 55-62 | 63-70 |
f |
Then estimate the mean and sample standard deviation using the
frequency table. (Round x to one decimal place, and round
s to two decimal places.)
x | |
s |
Compute a 75% Chebyshev interval centered about the mean. (Round
your answers to two decimal places.)
Lower limit | |
Upper limit |
(d) If you have a statistical calculator or computer, use it to
find the actual sample mean and sample standard deviation.
Otherwise, use the values Σx = 2769 and
Σx2 = 132,179 to compute the sample mean and
sample standard deviation. (Round your answers to two decimal
places.)
x | |
s |
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