Q. 204.5( 4 Votes )

The mean of 1, 3,

Answer :

First data is:


1, 3, 4, 5, 7, 4


Given, mean = m


And we know,


Mean …[1]


No of observations = 6


Sum of all observations = 1 + 3 + 4 + 5 + 7 + 4 = 24


Hence,


Mean


m = 4 …[2]


Second data is :


3, 2, 2, 4, 3, 3, p


No of observations = 7


Sum of observations = 3 + 2 + 2 + 4 + 3 + 3 + p = 17 + p


Given,


Mean = m - 1


Using [1]




21 = 17 + p


p = 4 …[3]


Hence, series is 3, 2, 2, 4, 3, 3, 4


For median, let us write our data in increasing order


2, 2, 3, 3, 3, 4, 4,


Also, as the no of terms in this data is odd


We know that if there are odd number of terms in a data, then the median of data is term. Where n is no of terms


n = 7



median = 4th term = 3


q = 3 …[4]


From [3] and [4]


p + q = 4 + 3 = 7

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the moMathematics - Board Papers