1. For each of the datasets described below, decide which measure of central tendency would be most appropriate and explain your choice. Consider the scale of measurement for each variable and the likely distribution of the observations. a. The scores of 500 Grade 6 students on the Math subtest of MAT (a standardized test) b. The type of car chosen by 120 new car buyers. c. The salaries of all employees (including executives and CEO) of a large company.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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1. For each of the datasets described below, decide which measure of central
tendency would be most appropriate and explain your choice. Consider the
scale of measurement for each variable and the likely distribution of the
observations.
a. The scores of 500 Grade 6 students on the Math subtest of MAT
(a standardized test)
b. The type of car chosen by 120 new car buyers.
c. The salaries of all employees (including executives and CEO) of a large company.
d. Which average is defined as the value that has 50% of the cases below it?
2. Report your answers to two decimal places.
Group A's scores: 12 15 7 10 5 16 7 14
Group B's scores: 16 6 10 6 16 6 15 19 23
a. Report the mean, the median, and the mode of Group A's scores.
b. Report the mean, the median, and the mode of Group B's scores.
c. What is the most appropriate measure of central tendency in each
Group? And Why?
3. True or False:
a. The mean is the most frequently used average.
b. In a distribution with a positive skew, the median has a higher value
than the mean.
c. In a normal distribution, the mean, median and mode have the same value.
d. The median has 50% of the cases below it ONLY in a normal distribution.
Transcribed Image Text:1. For each of the datasets described below, decide which measure of central tendency would be most appropriate and explain your choice. Consider the scale of measurement for each variable and the likely distribution of the observations. a. The scores of 500 Grade 6 students on the Math subtest of MAT (a standardized test) b. The type of car chosen by 120 new car buyers. c. The salaries of all employees (including executives and CEO) of a large company. d. Which average is defined as the value that has 50% of the cases below it? 2. Report your answers to two decimal places. Group A's scores: 12 15 7 10 5 16 7 14 Group B's scores: 16 6 10 6 16 6 15 19 23 a. Report the mean, the median, and the mode of Group A's scores. b. Report the mean, the median, and the mode of Group B's scores. c. What is the most appropriate measure of central tendency in each Group? And Why? 3. True or False: a. The mean is the most frequently used average. b. In a distribution with a positive skew, the median has a higher value than the mean. c. In a normal distribution, the mean, median and mode have the same value. d. The median has 50% of the cases below it ONLY in a normal distribution.
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