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The less-than ogive shows the marks of 80 students in a scholarship test. Using the grouped-data formula, find the median mark.

Competition practiceStatistics

A50
B $56 \frac{2}{3}$
C60
D $53 \frac{1}{3}$

Step-by-Step Solution

N /2 = 40

. From the curve: 20 students below 40 marks and 44 below 60, so the median class is 40–60 with

f = 24

. Median

= 40 + \frac{40 - 20}{24} \times 20 = 56 \frac{2}{3}

.

Answer: B)

56 \frac{2}{3}

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