Analysis of Data — Important Questions
NIOS · Class 10 · Economics
45 important questions from Analysis of Data for NIOS Class 10 Economics, with answers. Written for the board exams 2027.
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Important Questions from Analysis of Data
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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