If the first ten elements of the set x1, x2,........., x15 are replaced by xi + 5, i = 1, 2, 3, ......... , 10 and next five elements are replaced by xj – 4, j = 11, 12, ....., 15, then the new mean will change by

Foundation

Mathematics Foundation

Measure of Central Tendency

9th basic statistics

Data Handling

Question

If the first ten elements of the set x₁, x₂,........., x₁₅ are replaced by x_i + 5, i = 1, 2, 3, ......... , 10 and next five elements are replaced by x_j – 4, j = 11, 12, ....., 15, then the new mean will change by

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New mean will change by $= \frac{5 \times 10 - 4 \times 5}{15} = 2$