31. For a symmetrical distribution, the variance is equal to the standard deviation.
Answer: False
32. In a company, the standard deviation of the ages of female employees is six years and the standard deviation of the ages of male employees is ten years. These statistics indicate that there is more spread in the ages of the female employees.
Answer: False
33. If we find the deviation of each value from the median, the sum of these deviations is always zero.
Answer: False
34. If a frequency distribution is open-ended, the variance cannot be determined.
Answer: True
35. The range cannot be computed for data grouped in a frequency distribution having an open end.
Answer: True
Multiple Choice
36. For which measure of central location will the sum of the deviations of each value from the data's average will always be zero?
A) Mode
B) Mean
C) Median
D) Geometric mean
E) None of the above
Answer: B
37. For a set of grouped or ungrouped data, which measures of central location always have only one value?
A) Mode and median
B) Mode and mean
C) Mode and geometric mean
D) Mean and median
Answer: D
38. Which measures of central location are not affected by extremely small or extremely large values?
A) Mean and median
B) Mean and mode
C) Mode and median
D) Geometric mean and mean
E) None of the above
39. What is the relationship among the mean, median and mode in a symmetric distribution?
A) They are all equal
B) The mean is always the smallest value
C) The mean is always the largest value
D) The mode is the largest value
40. For a data set, half of the observations are always greater than the ________ .
A) Median
B) Mode
C) Mean
D) Geometric mean
41. What is the lowest level of measurement that a median can be computed?
A) Nominal
B) Ordinal
C) Interval
D) Ratio
42. For an ungrouped data set with an odd number of observations that have been sorted or arrayed from smallest to largest values, where is the median located?
A) n
B) n/2
C) (n + 1)/2
D) n + 1/2
43. Which measure of central location is used to determine an average annual percent increase?
A) Arithmetic mean
B) Weighted mean
C) Mode
D) Geometric mean
E) Median
44. If a frequency distribution has open-ended intervals at the extremes, which measure of central location is the most difficult to estimate?
A) Median
B) Mode
C) Mean
D) All of the above
E) None of the above
45. Which one of the following is referred to as the population mean?
A) Statistic
B)
C) Sample
D) None of the above
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