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Elements of Statistics

BACHELOR'S DEGREE PROGRAMME


Term-End Examination


June, 2010


ELECTIVE COURSE: COMMERCE


ECO-7: ELEMENTS OF STATISTICS


Time: 2 hours                                                                                       Maximum Marks: 50


Note :Attempt any four question. All question carry equal marks.

  1. (a) Fill in the blanks with the appropriate word given in the brackets:



  • In construction of Index numbers __________mean is specially used. (weighted / unweighted)

  • It take_____________ time to collect secondary data compared to primary data. (less / more)

  • Use of_______________ is an appropriate method of data collection when the information is to be obtained at regular intervals over a wide area. (Interview / corespondents)

  • Data array________________ provide any information regarding the range of data. (does / does not)

  • It is not always necessary that the magnitude of different classes must be_____________ . (unequal / equal)

  • Mode and Median_____________ are measures. (calculative / positional)



  • For a moderately skewed distribution, the emperical relation is given_______________________as .(3Me -2x̄/ 2Me -3x̄)

  • The title given to rows of a table is called a. (stub / caption)


(b) State any four limitations of statistics.

  1. (a) The median, mean and coefficient of skewness for a certain distribution are 80, 86 and 0.42 respectively. Calculate coefficient of variation. 6+61/2


(b) The mean and standard deviation of 100 items are 50 and 5 respectively. The mean and standard deviation of another 150 items are 40 and 6 respectively. Find the standard deviation of all the 250 items taken together.

  1. Explain the methods of collecting primary data.                                                          12 ½


4. Find the mode of the following data graphically.                                                               12 ½

x:  0-10   10 - 20   20 – 30    30 - 40   40 - 50   50 – 60   60 – 70

f:     1           6         15            20         15            6          1

  1. (a) Calculate mean deviation about median.                                                             10+2 ½


x: 20   30   40   50   60   70

f:   8   12    20   10    6     4

(b) What is spurious accuracy?

  1. (a) Calculate any geometric mean of the following data:


Mark:                   5    15    25    35    45

No. of Students:  5     7     15    25     8

(b) State any four Reasons of non–sampling error.

  1. Draw a pie diagram to represent the following                                                         12 ½


Information:

Items                    Amount (Rs.)

Food                        800

Clothing                    200

Rent                         300

Other expenses          500
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