Which of the following statements about the median is correct? a. It is a measur

Question

Which of the following statements about the median is correct?

a. It is a measure of center that divides an ordered array of data into two halves.

b. If data are arranged in ascending order from smallest to largest, all the observations below the median are smaller than or equal to it, while all the observations above the median are equal to it or larger.

c. If the total number of observations is odd, the median is the middle observation in an ordered array.

d. If the total number of observations is even, the median is the average of the two middle values.

e. All of the above.

Explanation / Answer

Ans e. All of the above statements are true

a. It is a measure of center that divides an ordered array of data into two halves.

b. If data are arranged in ascending order from smallest to largest, all the observations below the median are smaller than or equal to it, while all the observations above the median are equal to it or larger.

c. If the total number of observations is odd, the median is the middle observation in an ordered array.

d. If the total number of observations is even, the median is the average of the two middle values.

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