Answer :

For equal class intervals, we will solve by finding mid points of these classes using direct method.


We have got


Σfi = 50 and Σfixi = 1500


mean is given by





Thus, mean is 30.


To find median, 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.



We have got


So, N = 50


N/2 = 50/2 = 25


The cumulative frequency just greater than (N/2 = ) 25 is 39, so the corresponding median class is 30 - 40 and accordingly we get Cf = 24(cumulative frequency before the median class).


Now, since median class is 30 - 40.


l = 30, h = 10, f = 15, N/2 = 25 and Cf = 24


Median is given by,




= 30 + 0.67


= 30.67


Thus, median is 30.67.


Since, we have got mean = 30 and median = 30.67


Applying the empirical formula,


Mode = 3(Median) – 2(Mean)


Mode = 3(30.67) – 2(30)


Mode = 92.01 – 60 = 32.01


Mean = 30, Median = 30.67 and Mode = 32.01


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
The Heterotrophic ModeThe Heterotrophic ModeThe Heterotrophic Mode44 mins
Champ Quiz | Strength of Acids and BasesChamp Quiz | Strength of Acids and BasesChamp Quiz | Strength of Acids and Bases31 mins
Nuts and Bolts of EditingNuts and Bolts of EditingNuts and Bolts of Editing40 mins
Out-of-the-box Knowledge of Acids and BasesOut-of-the-box Knowledge of Acids and BasesOut-of-the-box Knowledge of Acids and Bases27 mins
Quiz | Physical Properties of Metals and Non-MetalsQuiz | Physical Properties of Metals and Non-MetalsQuiz | Physical Properties of Metals and Non-Metals24 mins
Newton's Laws of Motion - Myths vs FactsNewton's Laws of Motion - Myths vs FactsNewton's Laws of Motion - Myths vs Facts57 mins
Clear the Confusion of Mass and WeightClear the Confusion of Mass and WeightClear the Confusion of Mass and Weight45 mins
Learn Concepts of Direction and Distance!Learn Concepts of Direction and Distance!Learn Concepts of Direction and Distance!52 mins
Acing Chemistry of IIT-JEE and NEETAcing Chemistry of IIT-JEE and NEETAcing Chemistry of IIT-JEE and NEET34 mins
NCERT | Basics of Heights and DistancesNCERT | Basics of Heights and DistancesNCERT | Basics of Heights and Distances37 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
caricature
view all courses