Define Statistics. Mention use of Statistics in Business decision making along with limitations of Statistics.
[7 marks]Determine value of Karl Pearson’s coefficient of Correlation r : X 4 6 7 11 14 17 21 Y 18 12 13 8 7 7
[4 marks]Explain four levels of Data measurement with relevant examples of each.
[7 marks]Find 35th Percentile, 55th Percentile and Qof the following data:3
[7 marks]Explain the following graphs used for graphical representation of data in statistics with necessary example of your choice: 1. Histogram 2. Frequency Polygon 3. Pie Chart
[7 marks]Abin contains six parts. Two of the parts are defective and four are acceptable. If three of the six parts are selected from the bin, how large is the sample space? What is the probability that exactly one of the three sampled parts is defective?
[7 marks]Use the values in the contingency table to solve the equations given. D E A 10 B 15 C 30 1. P(E) 2. P(B U D) 3. P(B/E)
[15 marks]Explain measures of shape: Skewness and Kurtosis.
[7 marks]Explain Measures of Central Tendency with suitable example.
[7 marks]Determine the equation of the regression line for the following data: X 15 8 19 12 Y 47 36 56 44 21
[5 marks]Compute a Spearman’s rank correlation for the following variables to determine the degree of association between the two variables : X 23 41 37 29 25 17 33 41 40 28 19 Y 201 259 234 240 231 209 229 246 248 227 200
[7 marks]What is Simple Linear Regression Model? Explain with a suitable example of your choice. Page 1 of
[2 marks]Explain Scatter plot diagram? Also mention various correlations based on Scatter plot.
[7 marks]Adata set contains the following seven values. • Find the range. • Find the population variance. • Find the population standard deviation. Page 2 of
[2 marks]Define Probability. Explain general law of addition and general law of multiplication in probability.
[7 marks]Determine mean and median for the following grouped data. Class Interval frequency 0–under 2 39 2–under 4 27 4–under 6 16 6–under 8 8–under 10 10–under 12 12–under 14
[6 marks]Explain the following terms of Probability with suitable examples. • Sample Space • Events • Mutually exclusive events
[7 marks]