10) Which of the following statements is true? A) The mean is always one of the...
10) Which of the following statements is true?
A) The mean is always one of the data points in a set of data.
B) The mode is always one of the data points in a set of data.
C) The median is always one of the data points in a set of data
D) None of the above is true
Homework Answers
We use the concepts of mean, median, and mode to solve the problem.
(i) True: Mode is the observations that occur highest numbers of times. Therefore, it is one observation in a data.
(ii) False: Mean may or may not be one of the numbers present in a data. It can also be a number which is not a part of the given observations.
(iii) True: Median is the middle observations of the given data when it is arranged in ascending or descending order.
(iv) False: The given data 6, 4, 3, 8, 9, 12, 13, 9.
Mean = Sum of all the observations / 8
= 6 + 4 + 3 + 8 + 9 + 12 + 13 + 9 / 8
= 64 / 8
= 8
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