B.Sc. (Data Science) SEM I 2023 2024 Dec 2024 DESCRIPTIVE STATISTICS Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt the following (Any Three)
   • a) Draw a Histogram and hence locate made
   • b) Write a short note on statistical organization in India and their function
   • c) Write a short note on scope of statistics
   • d) Write a short note on scales of measurement
   • e) Draw a less than type frequency curve and locate medium and two quartiles
   • f) Draw a frequency polygon for the following data
2. Q2 Attempt the following (Any Three) (15M)
   • a) Calculate lower quartile and upper quartile for the following data
   • b) Find tirst four raw moments for the set of observation -3, -2, 1, 3, 4 Calculate Median for the following data No. of Students
   • d) The daily wages (in Rs.) of 15 persons are as follows Calculate Dg and Calcuiate Karl-Pearson’s coefficient of skewness for the following set of observation
   • f) Write a short note on Kurtosis with all it’s types
3. Q3 Attempt the following (Any Three) (15M)
   • a) Give Merits and Demerits of 1) Range Quartile Deviation Find combined mean and combined standard deviation
   • c) The sum of largest and smallest items is 80 and coefficient of range is 0.25. find lowest and smallest value of the date
   • d) Find Quartile Deviation for the following data No.of students The following data given the distribution of weights of boys and girls in the class find combined mean and decide which group is more consistent
   • f) Calculate the S.D. of the data giving the no. of defects in 50 units
4. Q4 Attempt the following (Any Three) (15M)
   • a) Find the Karl-Pearson’s coefficient of correlation for the following data
   • b) Find the spearman’s coefficient of correlation for the following data
   • c) Calculate the production moment coefficient of correlation for the following data
   • d) the following bivariate data Find i) Regression coefficients
   • e) Given the following information about the production and demand of a commodity, obtain two regression lines if the correlation coefficient between the lines is 0.65 Also Estimate the production when the demand is 100 The equation of the line of regression arel0x+3y+15=0 and then identify the regression lines VCD SEM-I Descriptive Statistics 2 Hrs - 75 Marks
5. Q5 Attempt the following (Any Three)
   • a) Define time series. Explain all it’s component
   • b) Find the seasonal variation by ratio to trend method for the following table,
   • c) Estimate the trend values Sing the data given below by taking 5 yearly moving
   • d) Calculate trend values by the method of least Square method for the following data Also estimate trend values for 2010 Construct the seasonal indices for each quarter for the following data,
   • f) Determine the trend values by semi average method from the data given below. Also estimate the trend values for 199]

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