20. Which measure of central tendency can be used for both numerical and Spring
ID: 3368717 • Letter: 2
Question
20. Which measure of central tendency can be used for both numerical and Spring 2018- Page 5 a) mean b) median c) mode d) geometric mean categorical varia 21. In a right-skewed distribution, a) the median equals the mean. b) the median is less than the mean. c) the median is larger than the mean. d) none of the above 22. Which of the following statements about the median is not true? a) It is more affected by extreme values than the mean. b) It is a measure of central tendency. c) It is equal to Q2. d) It is equal to the mode in bel- shaped 'normal" distributions. 23. The smaller the spread of scores around the mean, a) the smaller the interquartile range. b) the smaller the standard deviation. c) the smaller the variance d) all of the above PART II: Questions 24-35: each Question is worth 0.50 points, Refer to the following for Questions 24-36. A random sample of the ag nationally gave the following result es of 25 M 27.8 26.4 25.0 30.1 28.6 26.5 27.0 26.4 27.7 29.7 28.9 27.4 28.4 27.2 28.2 28,9 28.2 27.7 29.1 27.1 26.3 27.7 31.0 27.2 28.0 The sample mean age is 27.86 and the sample standard deviation is 1.33. 24. The sample standard deviation is a) a measure of location b) an average c) a measure of variation d) a measure of central tendencyExplanation / Answer
Solution:
(20) Mode
The mode can be used for both numerical and categorical variables.
(21) In right-skewed distribution, the median is less than the mean. option (b) is correct.
Reason: The mean is greater than the median in right-skewed distribution.
(22) option (A) is correct.
It is more affected by the extreme values than the mean
(23) option (D) is correct. That is all of the above.
(24) option (c) is correct.
Reason:
A Sample standard deviation is a measure of variation.
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