Descriptive Statistics — Important Questions
CBSE · Class 11 · Applied Mathematics
44 important questions from Descriptive Statistics for CBSE Class 11 Applied Mathematics, with answers. Includes multiple choice and multiple correct.
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Important Questions from Descriptive Statistics
For the data set 3, 7, 9, 12, 15, which of the following are correct?
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Median = 9, Mean = 9.2, Range = 12
Median (middle value) = 9. Mean = (3+7+9+12+15)/5 = 46/5 = 9.2. Range = 15-3 = 12. There is no mode as all values appear once.
For the data 4, 6, 8, 10, 12, find the first quartile (Q1)
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6
For n=5, Q1 position = (5+1)/4 = 1.5, which means Q1 is between 1st and 2nd values. Q1 = (4+6)/2 = 5. Wait, let me recalculate: Q1 position = 1.5th position = 1st value + 0.5(2nd-1st) = 4 + 0.5(6-4) = 6
Which of the following statements about standard deviation are correct?
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It is always non-negative, It measures spread of data, It is the square root of variance
Standard deviation is always ≥ 0, measures how spread out data is from the mean, and equals √variance. It cannot be negative as it's derived from squared deviations.
Calculate the variance for the data: 2, 4, 6, 8, 10
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8
Mean = (2+4+6+8+10)/5 = 6. Variance = [(2-6)² + (4-6)² + (6-6)² + (8-6)² + (10-6)²]/5 = [16+4+0+4+16]/5 = 40/5 = 8
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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