Question

The frequency distribution of marks of 230 students in a statistics paper in a class is given below:
Class Interval              Frequency
10 – 20                            12
20 – 30                             30
30 – 40                               ?
40 – 50                             65
50 – 60                               ?
60 – 70                              25
70 – 80                             18
Total 230
Given that the median value of distribution is 46, determine the missing frequencies.

07 Mar 2018
Answer :
Word Count : 187

(i)

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_______ ____ _____ _____ ____ ______ ___ ___ ___ _____ _________ __________.
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_____ ___ _______ ______ ____ ___ ______ ________ ________.
___ ________ __________ _____ __________ ____ __________ _____ _______ ___ ____.
_________ __________ _______ __________ ___.
___ _____ ________ ______ ______ _______ ___ _____ ________ __________ _________ ____.
________ ______ ________ ___ _______.
_________ _____ ________ __________ __________ _______ __________ ___ ________ _______.
___ _______ _________ ____ ________.
______ ____ ____ ___ _____ _______ ______ ______ ____ _______.
_______ _____ ___ ____ _________ ________ _______ ________ _____ ______ _________.
_____ ___ _________ __________ ____ _________.
________ __________ _________ _________ ____.
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Class interval Frequency Cumulative frequency
10 – 20 12 12
20 – 30 30 42
30 – 40 x 42+ x (F)
40 – 50 65 (f) 107 + x

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A company appointed four salesman A, B, C and D and observed their sales in three
seasons – Summer, Winter and Monsoon. Test whether the average sales of the four
salesmen differ in amount (in Rs. Lakhs) as given below by one-way analysis of
variance (ANOVA) using observations after taking deviation from 30.

Image ignouacademy-com--p-frequency-63142

In a partially destroyed laboratory record of an analysis of correlation data, the
following results are legible:
The equations of two regression lines are as follows:
3Y 9X 46
3X 12Y 19
 
 
Obtain (i) mean values of X and Y; (ii) the values of regression coefficients; and (iii)
the value of correlation coefficient.

If the random variable X is normally distributed with mean 80 and standard deviation
5, then find (i) P[60.5 < X < 90], and (ii) P[X _ 80 < 1].

The frequency distribution of marks of 230 students in a statistics paper in a class is given below:
Class Interval              Frequency
10 – 20                            12
20 – 30                             30
30 – 40                               ?
40 – 50                             65
50 – 60                               ?
60 – 70                              25
70 – 80                             18
Total 230
Given that the median value of distribution is 46, determine the missing frequencies.

A population of size 10000 is divided into 4 strata. Their sizes and standard
deviations are given below:
Image ignouacademy-com--p-distribution-95948
A stratified random sample of size 500 is to be drawn from this population.
Determine the sizes of samples from these strata, in case
i) Proportional allocation is used.
ii) Neyman’s optimum allocation is used.

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