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CBSE Class 10 Basic Math 2026 All Sets Solved Paper

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Question : 14 of 20
Marks: +1, -0
While calculating mean of a grouped frequency distribution using step deviation method (u=  x−ah)\left(u = \;\frac{x-a}{h}\right) it was found that overline x‾\overline{x} = 62, a = 47.5, h = 5 value of overline u‾\overline{u} is:
Solution:  
Given:
x‾=62\overline{x} = 62
a=47.5a = 47.5
h=5h = 5
The formula for the mean in the step-deviation method is:
x‾=a+hu‾\overline{x} = a + h\overline{u}
62=47.5+5u‾62 = 47.5 + 5 \overline{u}
62−47.5=5u‾62 - 47.5 = 5 \overline{u}
14.5=5u‾14.5 = 5\overline{u}
u‾=14.55\overline{u} = \frac{14.5}{5}
u‾=2.9\overline{u} = 2.9
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