Which of the following is a measure of spread? Q3 Standard Deviation Q1 Median Range Maximum Mean Mode Interquartile Range (IQR) Minimum
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The objective of the question is to identify the measures of spread.
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- Which of the following gives a measure of how “spread out” or noisy a particular data set is? p-value validity effect size standard deviationSimilarities and differences of Sample Standard Deviation and Sample Mean.The coefficient of variation CV describes the standard deviation as a percent of the mean. Because it has no units, you can use the coefficient of variation to compare data with different units. Find the coefficient of variation for each sample data set. What can you conclude? Heights Weights77 19379 20569 22379 22077 22572 17965 20173 21071 19670 20475 21379 209 CV heights= % CV weights = % what can you conclude?
- Mean = 5.2 Median=3 Mode= 2 Graph what the distribution would look like. Is it normally distributed? If not, how is it skewed and what might cause this type of skew to the distribution?Which are considered to be measures of central tendency? mean O standard deviation inter-quartile range range median mode O z-score maximum minimumWhich of the following measures are most resistant to outliers? Mean Median Mode Range Standard Deviation IQR (interquartile range)
- z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?Detecting gypsy moths The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed with a mean of 0.5 and a standard deviation of 0.7. a. Explain why it is reasonable to use a Normal distribution to approximate the sampling distribution of for SRSS of size 50. b. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. c. In a recent month, the mean number of moths in an SRS of size 50 was = 0.6. Based on this result, is there convincing evidence that the moth population is getting larger in this state? Explain your reasoning.The histogram below shows the ages (in years) of Honda Civic automobiles listed for sale on the Seattle Times Web site on November 26, 2003. 20 15 10 2 4 6 8 10 12 14 16 18 Age (years) Which of the following terms apply to this histogram? (Select all that apply.) O negatively skewed(to the left) O uniform O symmetric O bimodal O unimodal O positively skewed(to the right) Which measure of center is most appropriate for this data? O median O mean Which measure of spread is most appropriate for this data? O standard deviation M # of cars
- Which of the following is a standardized way to compare the amount of spread around the mode in two unrelated datasets? Standard deviation Coefficient of variation Interquartile range Cumulative relative frequencyConsider the following sample data. Sample A: 11, 22, 33 Sample B: 81, 92, 103 Sample C: 1,100; 1,111; 1,122 (a) Find the mean and standard deviation for each sample. Sample A: Sample B: Sample C: Mean Sample Standard Deviation (b) What does this exercise show about the standard deviation? multiple choice The idea is to illustrate that the standard deviation is not a function of the value of the mean. The idea is to illustrate that the standard deviation is a function of the value of the mean.Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that the standard deviation has over the interquartile range? Choose the correct answer below. A. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it increases as the dispersion of the data increases. B. The interquartile range is preferred when the distribution is symmetric. An advantage of the standard deviation is that it is resistant to extreme values. C. The interquartile range is preferred when the data are skewed or have outliers. An advantage of the standard deviation is that it uses all the observations in its computation. D. The interquartile range is preferred when the data are bell shaped. An advantage of the standard deviation is that it is resistant to extreme values. E. The interquartile range is preferred when the data are not skewed or no have…