Question

Calculate the median for the given data and choose the correct conclusion from the given statements.

2, 5, 4, 7, 9

• A. Median = 5; it represents the average value of the data.
• B. Median = 5; it represents the middle value of the data.
• C. Median = 6; it represents the average value of the data.
• D. Median = 7; it represents the middle value of the data.

Answer 1

The correct option is B Median = 5; it represents the middle value of the data.

The given data set is

2, 5, 4, 7, 9

For a set with an odd number of values, the median is the middle value of the data set when it is arranged in an ascending or descending order.

Let us arrange the given data in ascending order.

2, 4, 5, 7, 9

The middle value of this data set = 5.

Hence, the median = 5.

Hence, the option "Median = 5; it represents the middle value of the data" gives the correct conclusion.