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Subject: Basic Numeracy

Topic: Statistics

1. The daily wages (in rupees) of 100 labourers is given in the following frequency distribution. Find the mean of the data.
Daily wages     21-40  41-60  61-80  81-100 101-120
No. of labours     10      25        40       20          5

(a) 67

(b) 67.5

(c) 68

(d) None of these

2.If m is the arithmetic mean of x₁, x₂,...x_n, then the arithmetic mean of ax₁ + b, ax₂ + b,...ax_n + b, is

(a) m

(b) m + b

(c) am + b

(d) am

3. The standard deviation of (x + 1), (x + 2), (x + 3), (x + 8), (x + 7) and (x + 9), where x is not equal to zero is:

4. The AM of 5 observations is 4.4 and the variance is 8.24. If 3 of the observations are 1, 2 and 6, then the other two are

(a) 8, 5

(b) 4, 9

(c) 7, 6

(d) 2, 11

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