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35 questions
True or False: When finding the minimum number of data points between any two boundaries using Chebyshev's Theorem, if a decimal is obtained, you should round that decimal to the nearest integer.
True
False
Scientists measured the area claimed by each Bengal tiger in a certain jungle. The mean area claimed was 30 square miles with s=2.8 mi2. At least 99% of the areas in this sample would have to be between _________________ mi2 [S.A.M.]
In a data set with a mean of 25 and a standard deviation of 4.8, what is the minimum percent of the data that must lie between 20 and 30? [Round to the nearest percent.]
8%
4%
96%
88%
400 books were selected at random from a library. If the mean length of books in this sample was 300 pages with s=20, what is the minimum number of books that must be between 200 and 400 pages?
384
396
375
214
800 basketball players were selected at random. If their mean height was 78 in. with s=5, at least 650 of these players must have been between...
[S.A.M.]
66.45 and 89.55 in. tall.
70.05 and 85.95 in. tall.
51.35 and 104.65 in. tall.
72.25 and 83.75 in. tall
A data set has 5,800 data points. At least 4,000 of these points must lie within how many standard deviations of the mean?
1.80
3.24
0.69
9.88
A data set with a mean of 11 and s=0.6 has 724 data points. At least how many of these data points must be between 10 and 12?
464
528
290
430
A data set with 800 data points has a mean of 33 and a standard deviation of 1.5. At least 700 of these data points must lie between what two boundaries, S.A.M.?
28.76 and 37.24
21 and 45
89.10 and 97.58
31.69 and 34.31
k=
st. dev.∣mean−boundary∣
st. dev.∣mean+boundary∣
boundary∣mean−(st. dev.)∣
boundary∣mean+(st. dev.)∣
True or False: Chebyshev's Theorem can only be used with boundaries that are symmetric around the mean
True
False
True or False: It takes the same number of "hops" for the bunny to get to either boundary.
True
False
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