Calculating quartile deviation - coefficient of correlation

Question

Question 1) Write down the limitations of statistical data?

Question 2) Describe the different types of scales in statistical data.

Question 3) What are the main sources of data collection?

Question 4) Write down the various types of graphical representations?

Question 5) Describe the merits and demerits of mean and median.

Question 6) Calculate the quartile deviation from the following data:

Height in inches      :    58     59     60     61     62     63     64     65     66

No. of students      :    15     20     32     35     33     22     20     10      8

Question 7) Compute the first four moments from the following data:

X     :    0      1       2        3        4       5       6       7       8

F      :    5    10     15      20      25     20     15      10       5

Question 8) Write a brief note on curve fitting.

Question 9) What is simple Correlation? Write any two properties of correlation.

Question 10) Describe the role of Categorical Data.

Question 11) Describe in detail the significance of statistics and its applications in different fields.

Question 12)a) Define frequency distribution. How will you construct a frequency table?

b) Obtain frequency curve for the following data.

Monthly wages    Frequency

    11-13                  6
    13-15                53
    15-17                85
    17-19                56
    19-21                21
    21-23                16
    23-25                 8

Question 13)a) Calculate Mean, Median and Mode of the following data:

Class interval :     0-5    5-10   10-15    15-20    20-25

Frequency      :     7      18         25          30        20

b)  From the following table, compute Standard Deviation and Coefficient of Skewness:

Weekly wages (in Rs):    15    20    25    30    35    40    45

No. of earners    :    3    25    19    16    4    5    6

Question 14)a) Ten competitors in a musical test were ranked by three judges A, B and C in the  following order:

Ranks by A:     1    6    5    10    3    2    4    9    7    8
Ranks by B:     3    5    8    4    7    10    2    1    6    9
Ranks by C:     6    4    9    8    1    2    3    10    5    7

Using rank correlation method, explain which pair of judges has the nearest approach to common likings in music.

b) The observations on X and Y for 10 students in two subjects are given as follows:

X:    59    59    65    45    52    60    62    70    55    45    49

Y:    75    75    70    55    65    60    69    80    65    59    61

Calculate the least square regression equations of Y on X and X on Y.

Question 15)a)  Describe the different types of regression and its uses.

b) Compute the two regression equations and coefficient of correlation from the data  given below

Marks in Statistics (out of 50)    : 40    40    38    35    42    30

Marks in Mathematics (out of 50): 30    30    35    40    36    29