Find the mean daily expenditure on food by a suitable method.
NCERT Class 10 Chapter 14 Statistics
NCERT Textbook Page No. 271
10th Maths Chapter 14 Exercise 14.1
Question No. 6
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To find the class mark (xᵢ) for each interval, the following relation is used.
xᵢ = (Upper Limit + Lower Limit)/2
Class size = 50. Taking 225 as assumed mean (a), dᵢ, uᵢ fᵢuᵢ are calculated as follows.
From the table, we obtain
∑fᵢ = 25, ∑fᵢuᵢ = -7, a = 225 and h = 50
mean (X̄) = a + (∑fᵢuᵢ / ∑fᵢ)h = 225 + (-7/25) × 50 = 225 – 14 = 211
Therefore, mean daily expenditure on food is ₹211