A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised…

CBSE Class 10 Maths PYQ · Statistics · Find Mean, median, mode · 5 Marks · March 2023 · Standard

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465 Marks · March 2023 · Standard
A student noted the number of cars passing through a spot on a road for $100$ periods each of $3 \text{ minutes}$ and summarised it in the table given below. Find the mean and median of the following data.
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Correct table
$\text{Mean} = \frac{\Sigma x_i f_i}{\Sigma f_i} = \frac{4070}{100} = 40.7$
Median class : $40 - 50$
$\text{Median} = 40 + \frac{\frac{100}{2} - 46}{20} \times 10 = 40 + \frac{50 - 46}{20} \times 10 = 40 + \frac{4}{20} \times 10 = 40 + 2 = 42$
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