Q. 163.7( 4 Votes )

# The median value

Given: Median = 35 & N = 170

Assume

Σfi = N = Sum of frequencies,

h = length of median class,

l = lower boundary of the median class,

f = frequency of median class

and Cf = cumulative frequency

Lets form a table, where x and y are the unknown frequencies.

Median = 35 (as already mentioned in the question)

35 lies between 30 - 40 Median class = 30 - 40

l = 30, h = 10, f = 40, N/2 = (110 + x + y)/2 = 170/2 = 85 and Cf = 30 + x

Median is given by,

35 – 30 = (55 – x)/4

5 × 4 = 55 – x

20 = 55 – x

x = 55 – 20 = 35 …(i)

And given that N = 170

110 + x + y = 170

x + y = 170 – 110

x + y = 60 …(ii)

Substituting x = 35 in eq.(ii),

35 + y = 60

y = 60 – 35 = 25

Thus, the unknown frequencies are x = 35 and y = 25.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Sphere and Hemisphere16 mins
Cube and Cuboid41 mins
History - Concept and Questions57 mins
Resources and Development Revision28 mins
Heights and Distances-I45 mins
Corrosion: Types, Pros and Cons41 mins
Right Circular Cylinder45 mins
Right Circular Cone And Frustum43 mins
Revision on Substitution and Elimination Method44 mins
Magnetic Field of Circular Conductor41 mins
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
view all courses