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Calculation for Discrete Series or Ungrouped Data
where,
f = frequency
X = variable
In a survey of 50 chemical industries, the following data was collected about the level of profits attained by them:
Xi = Level of profit (Rs. lakh) earned during 20x1-x2
fi = No. of companies that earned Xi amount of profit
Xifi
20
16
24
25
31
12
15
8
7
240
192
175
248
Total
50
1095
The arithmetic mean is
Thus, the average profit of the chemical industry is Rs.21.90 lakh
Question: (a) A normal distribution is thought to have a mean of 50. A random sample of 100 gave a mean of 52.6 and a standard deviation of 14.5. A significance test was carri
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