Analysis of Data
NIOS · Class 10 · Economics
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Quick Quiz: Analysis of Data
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Using the direct method for the discrete series of number of children per family, what is the arithmetic mean when the total number of children is 420 and the total frequency is 140 families?
For the continuous series with class intervals 0-10, 10-20, 20-30, 30-40, 40-50, 50-60 and 60-70, and frequencies 23, 27, 40, 120, 40, 27 and 23, what is the arithmetic mean by the direct method?
In the continuous series with A = 25, N = 300, and Σfdx = 3000, what is the arithmetic mean by the shortcut method without step deviation?
In the continuous series with A = 25, N = 300, Σfdx' = 300, and c = 10, what is the arithmetic mean by the shortcut method with step deviation?
Sample Questions
A group of 10 students scored 2, 7, 10, 8, 6, 3, 5, 4, 5 and 0 marks out of 10. What is the arithmetic mean?
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5
Add the marks: 2 + 7 + 10 + 8 + 6 + 3 + 5 + 4 + 5 + 0 = 50. Then divide by the number of students, 10. So the arithmetic mean = 50/10 = 5. The unit is marks.
For the discrete series of number of children per family, the values are 0, 1, 2, 3, 4, 5 and 6 with frequencies 13, 17, 20, 40, 20, 17 and 13. What is the arithmetic mean by the direct method?
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3
Compute Σfx = 0 + 17 + 40 + 120 + 80 + 85 + 78 = 420 and N = 140. Then mean = 420/140 = 3. The unit is children per family.
For the continuous series 0-10, 10-20, 20-30, 30-40, 40-50, 50-60 and 60-70 with frequencies 23, 27, 40, 120, 40, 27 and 23, what is the arithmetic mean if the class mid values are used and A = 25?
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35
The class mid values are 5, 15, 25, 35, 45, 55 and 65. Using the shortcut method without step deviation, Σfdx = 3000 and N = 300 when A = 25. So x̄ = 25 + 3000/300 = 35. The unit is marks.
If the arithmetic mean of 27 children among 10 families is calculated, what is the mean number of children per family?
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2.7
Arithmetic mean = total number of children / number of families = 27/10 = 2.7. The unit is children per family.
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