Q. 4. State the appropriate measures of central tendency for the following situa
ID: 3043990 • Letter: Q
Question
Q. 4. State the appropriate measures of central tendency for the following situations.
a. The most significant case needs to be reported.
b. The grouped frequency distribution is open-ended.
c. The data set contains scores received by students in the first exam.
d. The data are non-numerical.
e. One thousand times a coin is tossed and the results are collected.
f. The data set contains outliers.
g. Further statistical computations are needed.
Q. 5. Describe which measure of central tendency—mean, median, or mode—was probably used in each case.
a. 50% of the factory workers make less than $10.50 per hour, and 50% of them make more than $10.50 per hour.
b. The average number of children per family in the apartment complex is 2.3.
c. Most people prefer to buy previously owned cars.
d. The average age of college professors is 42.3 years.
e. The most common fear today is fear of speaking in public.
f. The average person cuts the lawn once a week.
Q. 6. A local fast-food company claims that the average salary of its employees is $13.23 per hour. An employee states that most employees make minimum wage. If both are being truthful, how could both be correct?
Explanation / Answer
Q.4. a) The mode is the most frequent score in our data set.
b) Median is preferred when there is an open ended distribution.
c) mean
d) Median is preferred to mean when data are measured in an ordinal scale.
e) mode, The mode of a set of data values is the value that appears most often.
f) Median. The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.
g) mean
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