Calculate the mode and the median for the following distribution : Class 5-10, 10-15, 15-20, 20-25, 25-30, 30-35,…
CBSE Class 10 Maths PYQ · Surface Areas & Volumes · General · 5 Marks · March 2025 · Standard
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815 Marks · March 2025 · Standard
Calculate the mode and the median for the following distribution : Class $5-10, 10-15, 15-20, 20-25, 25-30, 30-35, 35-40, 40-45$; Frequency $5, 6, 15, 10, 5, 4, 2, 2$
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Class Frequency(f) (c.f.) $5-10$ $5$ $5$ $10-15$ $6$ $11$ $15-20$ $15$ $26$ $20-25$ $10$ $36$ $25-30$ $5$ $41$ $30-35$ $4$ $45$ $35-40$ $2$ $47$ $40-45$ $2$ $49$ Median Class is $15-20$. Median = $15 + \frac{\frac{49}{2} - 11}{15} \times 5 = \frac{39}{2}$ or $19.5$. Modal Class is $15-20$. Mode = $15 + \frac{15-6}{30-6-10} \times 5 = \frac{255}{14}$ or $18.21$
