Class 11 Mathematics and Statistics (Commerce) Part 2 – Daily Revision MCQ (English Medium)
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Which partition values divide the arranged data into 10 equal parts?
Chapter 1: Partition Values
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Answer: B. Deciles
Deciles divide the data into 10 equal parts; quartiles make 4 parts and percentiles 100 parts.Which quartile is the same as the median?
Chapter 1: Partition Values
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Answer: D. Q2
The second quartile Q2 divides the data into two equal halves, with 50% below and 50% above, so it is the median.For a set of data the mean is 40 and the standard deviation is 8. What is the coefficient of variation (C.V.)?
Chapter 2: Measures of Dispersion
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Answer: A. 20%
C.V. = (σ ÷ mean) × 100 = (8 ÷ 40) × 100 = 20%.Mean = 60, Mode = 54 and S.D. = 12. What is Karl Pearson's coefficient of skewness?
Chapter 3: Skewness
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Answer: C. 0.5
Skp = (Mean − Mode) ÷ S.D. = (60 − 54) ÷ 12 = 0.5, so the distribution is positively skewed.In a symmetric distribution, how are the mean, median and mode related?
Chapter 3: Skewness
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Answer: B. Mean = Median = Mode
A symmetric distribution has mean = median = mode, and its coefficient of skewness is 0.In a contingency table, a row total is 60, a column total is 50 and the grand total N is 150. What is the expected frequency of that cell for the χ² statistic?
Chapter 4: Bivariate Frequency Distribution and Chi Square Statistic
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Answer: C. 20
Expected frequency E = (Row total × Column total) ÷ N = (60 × 50) ÷ 150 = 20.Between which limits does the correlation coefficient r always lie?
Chapter 5: Correlation
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Answer: D. −1 and 1
One property of the correlation coefficient is −1 ≤ r ≤ 1.In how many ways can 2 students be selected from a group of 6 students?
Chapter 6: Permutations and Combinations
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Answer: A. 15
Selection is a combination: ⁶C₂ = 6! ÷ (2! × 4!) = (6 × 5) ÷ 2 = 15.Two fair dice are thrown. What is the probability that the sum of the numbers is 8?
Chapter 7: Probability
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Answer: B. 5/36
Of 36 outcomes, sum 8 comes from (2,6),(3,5),(4,4),(5,3),(6,2) = 5, so P = 5/36.An article worth ₹2,000 is sold within the same state with 12% GST. How much CGST is charged?
Chapter 9: Commercial Mathematics
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Answer: C. ₹120
Within a state, GST is split equally into CGST and SGST: 6% CGST of ₹2,000 = ₹120 (and ₹120 SGST).
Class 11: MCQ in other subjects
All questions are written by PadhaiNotes in our own words from the chapters of the official Maharashtra State Board Balbharati textbook (ebalbharati.in). Each question shows its chapter.