The median and the mode of the following distribution are 33.5 and 34 find the missing frequencies if the sum of frequencies is 230
Marks.        0-10 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 4.       16.     X.        Y.        Z.        6.        4

Asked by shriya.pandey182 | 25th Jun, 2017, 08:02: PM

Expert Answer:

begin mathsize 16px style Given space that space
4 plus 16 plus straight x plus straight y plus straight z plus 6 plus 4 equals 230
straight x plus straight y plus straight z equals 200.......... left parenthesis straight i right parenthesis
As space sum space of space the space frequencies space is space 230.
straight N over 2 equals 230 over 2 equals 115
Median space is space 33.5 space means space median space class space is space 30 minus 40
You space get space 0.35 straight y plus straight x equals 95......... left parenthesis ii right parenthesis
using space median space formula space you space can space find space the space another space equation.
Using space mode space formula space you space will space get space another space equation.
straight y equals 3 straight x minus 2 straight z....... left parenthesis iii right parenthesis
space solving space these space three space equations
simultaneously space you space can space find space the space values space of space straight x comma straight y comma straight z.


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Answered by Sneha shidid | 27th Jun, 2017, 11:47: AM