If n is the median and m is the mode of the following set of numbers, 2.4, 2.1, 1.6, 2.6, 2.6, 3.7, 2.1, 2.6, then (n, m) is

  • A (2.6, 2.6)
  • B (2.5, 2.6)
  • C (2.6, 2.5)
  • D (2.5, 2.1)
jamb 1989mathematics

The correct answer is B. (2.5, 2.6)

The given set of numbers in ascending order is: 1.6, 2.1, 2.1, 2.4, 2.6, 2.6, 2.6, 3.7.

The median of a set of numbers is the middle value when the numbers are arranged in ascending order. Since this set has an even number of elements, the median is the average of the two middle values: (2.4 + 2.6)/2 = 2.5. Therefore, n = 2.5.

The mode of a set of numbers is the value that appears most frequently in the set. In this case, the value 2.6 appears three times, which is more than any other value. Therefore, m = 2.6.

Hence, (n, m) = (2.5, 2.6).

Previous question Next question