B.Sc. (Data Science) SEM I 2022 2023 Nov 2023 DS DESCRIPTIVE STATISTICS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt the following (Any Three) (15M)
   • a) Explain Methods of collecting primary data
   • b) Draw Less than Cumulative frequency curve for the following data
   • c) Mention and explain general guidelines while drafting Questionaries
   • d) Explain different types of Scales of measurement
   • e) The weight (in grams) of 38 oranges picked at random from a basket as follows Draw Frequency polygon and frequency curve for the following data
2. Q2 Attempt the following (Any Three) (15M)
   • a) Calculate Median for the following data
   • b) Find Q2 and Q3 for the following data
   • c) Define the term Kurtosis. Explain all types of kurtosis
   • d) Calculate Mean for the following data
   • e) Calculate and Pgs for the following data
   • f) Calculate Bowley’s coefficient of skewness fot the following set of observations
3. Q3 Attempt the following (Any Three) (15M)
   • a) Give merits and demerits of standard deviation VCD/ SEM-I Descriptive Statistics - 75 Marks
   • b) Calculate variance and coefficient of variance for the data
   • c) Calculate Quartile deviation and coefficient of quartile deviation for the following
   • d) For 200 workers from factory A, the arithmetic mean and standard deviation of daily wages are Rs. 120 and Rs. 10 respectively. For 150 workers from factory B. the arithmetic mean and standard deviation of daily wages are Rs. 100 and Rs. 20
   • e) Find mean deviation and coefficient of mean deviation for the following data ine range and coefficient of Range. Find range and coefficient of Range for the
4. Q4 Attempt the following (Any Three) (15M)
   • a) Explain briefly all properties of Correlation coefficient
   • b) Calculate Spearman’s Rank Coefficient of correlation for the following data
   • c) Differentiate between Correlation and Regression
   • d) Write a short note on types of correlation using Scatter plot
   • e) Calculate Karl-Pearson’s Coefficient of correlation for the following data
   • f) Fit regression line of y on x for the following data
5. Q5 Attempt the following (Any Three) (15M)
   • a) Construct the 4 yearly moving averages for the data representing exports (in rupees lakh) of a company during 1988-1997 Also express original Time Series and the moving averages on graph paper
   • b) Determine the equation of straight line which best fits the following data
   • c) Explain briefly different components of Time Series
   • d) Define Time Series with suitable example. Also Explain two models of Time Series VCD/ Descriptive Statistics .2 %4Hrs - 75 Marks
   • e) Compute seasonal index for the following data by method of simple average
   • f) Explain briefly an Estimation of trend by smooth freehand curve with suitable

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