ScienceMathStatistics Test #2
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Statistics Test #2

Ysobel Edwards avatar Ysobel Edwards
8 September 2022
4.7 (114 reviews)
9 test answers

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question
What does it mean if a statistic is​ resistant?
answer
Extreme values​ (very large or​ small) relative to the data do not affect its value substantially
question
The U.S. Department of Housing and Urban Development​ (HUD) uses the median to report the average price of a home in the United States. Why do you think HUD uses the​ median?
answer
HUD uses the median because the data are skewed right
question
An insurance company crashed four cars of the same model at 5 miles per hour. The costs of repair for each of the four crashes were ​$433​, ​$440, ​$495​, and ​$207 . Compute the​ mean, median, and mode cost of repair.
answer
Mean: $393.75 Median:$436.5 Mode: None
question
The following data represent the weights​ (in grams) of a simple random sample of a candy. 0.90 0.87 0.83 0.92 0.90 0.86 0.86 0.87 0.81 0.84 Determine the shape of the distribution of weights of the candies by drawing a frequency histogram and computing the mean and the median. Which measure of central tendency best describes the weight of the​ candy?
answer
Mean: 0.866 Median: 0.865 Which tendency described the weight of the candy better? A: Mean
question
A professor has recorded exam grades for 10 students in his​ class, but one of the grades is no longer readable. If the mean score on the exam was 82 and the mean of the 9 readable scores is 86​, what is the value of the unreadable​ score?
answer
10 X 82 = 820 - 9 X 86= 774. 820 - 774 = 46 A= 46
question
The standard deviation is used in conjunction with the​ ______ to numerically describe distributions that are bell shaped. The​ ______ measures the center of the​ distribution, while the standard deviation measures the​ ______ of the distribution.
answer
mean, mean, spread
question
True or​ False: When comparing two​ populations, the larger the standard​ deviation, the more dispersion the distribution​ has, provided that the variable of interest from the two populations has the same unit of measure.
answer
True, because the standard deviation describes how​ far, on​ average, each observation is from the typical value. A larger standard deviation means that observations are more distant from the typical​ value, and​ therefore, more dispersed.
question
True or​ False: Chebyshev's inequality applies to all distributions regardless of​ shape, but the empirical rule holds only for distributions that are bell shaped
answer
True, Chebyshev's inequality is less precise than the empirical​ rule, but will work for any​ distribution, while the empirical rule only works for​ bell-shaped distributions
question
The Empirical Rule
answer
the empirical rule can be used to determine the percentage of data that lie within k standard deviations of the mean. To help organize the empirical rule and make the analysis​ easier, draw a​ bell-shaped curve, as shown to the right. The line in the center of the curve represents the mean. The other lines are each​ 1, 2, and 3 standard deviations away from the mean.