BSc Statistics SEM I 2022 2023 Nov 2023 STATISTICS I Question Paper - Mumbai University | munotes

Questions asked in this paper

• 2. Figures to the right indicate marks

1. Q1 Answer the following questions
   • a) Correct the following if necessary: (10M)
   • i. E(x) represents that sample mean is unbiased for population mean
   • iii. In exclusive type of class interval both the limits are excluded
   • iv. Mode can be calculated for data with open-end classes Standard deviation is the square root of variance
   • b) Answer in One sentence: (10M)
   • i. Define positive association ii, Write formula for Coefficient of Colligation
   • iii. Write the formula for median for ungrouped frequency distribution
   • iv. Define marginal distribution
   • v. State Karl Pearson’s coefficient of Skewness
2. Q2 Attempt any TWO (20M)
   • a) What is statistics? Write importance of statistics? (10M)
   • b) What is ordinal scale? Write characteristics of ordinal scale? (10M)
   • c) What is qualitative data and its types? Explain (10M)
3. Q3 Attempt any TWO (20M)
   • a) Find mean, median, mode for the following data. (10M)
   • b) i. The average marks of three group of students containing 70, 50, 30 students are 50, 55 and 65 respectively . Calculate average marks of all 150 students taken
   • ii. Ifa and b are any two positive numbers then prove that GM = VAM xX
   • c) Find Pes from the following data: (10M) VCD/ \\ 2 2_ FYBSC- SEM I STATISTICS 100 MARKS 3HRS
4. Q4 Attempt any TWO (20M) iil. Coefficient of variation for the following data: (10M)
   • b) 1. Calculate Karl Pearson’s coefficient of skewness for the following data (5M)
   • ii. Prove that the Bowley’s coefficient of skewness lies between -| and |. (5M)
   • 1. State the relation between raw and central moment of a distribution for first four li. Write the merits and demerits of range. (SM)
5. Q5 Attempt any TWO (201)
   • a) i. Define population and its type? (5M) li. Define scale and Write characteristics of interval scale? (5M)
   • b) i. Explain procedure to draw histogram for a data. (5M)
   • ii. Define geometric mean and state its merits and demerits. (5M)
   • c) i. What are the requisites of a good measure of dispersion, For trequeney distribution Bow of skewness 0.0 The sum of first and third quartiles is 100 and median is 38

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