Multiple choice

The median of a grouped data is 19. The lower limit of the median class is 16. The frequency of the median class and the cumulative frequency of its preceding class are 4 and 20 respectively. If the number of observations is 48, then the class size of the median class will be _____.

  1. 2

  2. 3

  3. 4

  4. 5

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Median formula: M = L + ((N/2 - cf) / f) * h. Given M=19, L=16, N=48 (so N/2=24), cf=20, f=4. 19 = 16 + ((24 - 20) / 4) * h. 3 = (4 / 4) * h. h = 3.