Calculate Arithmetic mean of the given data by (1) Direct method , (2) Shortcut method , Incenties given by firms to their 10 employees - 180, 150, 160, 170, 150, 190, 210, 250, 160, 230 ?
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Answer:
It is an average, a measure of the centre of a set of data. The arithmetic mean is calculated by adding up all the values and dividing the sum by the total number of values. For example, the mean of 7, 4, 5 and 8 is 7+4+5+84=6.
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Answer : i) 185, ii) 185
Explanation:
i) Direct Method formula : Mean = ∑X/N
Mean = 180 +150+160+170+150+190+210+250+160+230/10 = 1850/10 =185
ii) Short cut method formula : Mean = A +∑d/N
X d = X- A
180 30
150 0
160 10
170 20
150 = A 0
190 40
210 60
250 100
160 10
230 80
∑d = 350
mean = 150 +350/10
= 150+35 =185
Explanation:
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