Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The median of the following frequency distribution

45
45.75
46
46.75

hint Hint:

Median formula :
$l space plus space open square brackets fraction numerator begin display style n over 2 end style space minus c over denominator f end fraction close square brackets cross times h w h e r e comma space l space equals space l o w e r space l i m i t space o f space t h e space m e d i a n space c l a s s n space equals space t o t a l space n u m b e r space o f space o b s e r v a t i o n s c equals space space c u m u l a t i v e space f r e q u e n c y space o f space t h e space c l a s s space p r e c e d i n g space t h e space m e d i a n space c l a s s space f space equals space f r e q u e n c y space o f space m e d i a n space c l a s s h space equals space c l a s s space s i z e$

The correct answer is: 46.75

Given :

Step 1: Find the total number of observations(n), cumulative frequency(cf)

Wages No. of workers Cumulative frequency

20-30 3 3

30-40 5 8

40-50 20 28

50-60 10 38

60-70 5 43

n = 43

Step 2 : Find median class
$M e d i a n space c l a s s space equals fraction numerator n space over denominator 2 end fraction space equals space fraction numerator 43 space over denominator 2 end fraction space equals 21.5 T h u s comma space m e d i a n space c l a s s space l i e s space b e t w e e n space 40 minus 50$

Step 3: Use the following formula to find the median value.
$l space plus space open square brackets fraction numerator begin display style n over 2 end style space minus c over denominator f end fraction close square brackets cross times h w h e r e comma space l space equals space l o w e r space l i m i t space o f space t h e space m e d i a n space c l a s s space equals space 40 n space equals space t o t a l space n u m b e r space o f space o b s e r v a t i o n s space equals space 43 c equals space space c u m u l a t i v e space f r e q u e n c y space o f space t h e space c l a s s space p r e c e d i n g space t h e space m e d i a n space c l a s s space equals space 8 space f space equals space f r e q u e n c y space o f space m e d i a n space c l a s s space equals space 20 h space equals space c l a s s space s i z e space equals space 10$

$M e d i a n space equals space 40 space plus space open square brackets fraction numerator begin display style 21.5 space minus 8 end style over denominator 20 end fraction close square brackets cross times 10 space equals space 46.75$

Related Questions to study

The value of median for the data given below is

The value of median for the data given below is

Which of the following solutions has the highest normality-

Which of the following solutions has the highest normality-

chemistry-General

The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below Then the mean is

The frequency distribution of the marks obtained by 100 students in a test carrying 50 marks is given below Then the mean is

parallel

The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table Then the mean number of students absent per day is

The number of students absent in a class were recorded every day for 120 days and the information is given in the following frequency table Then the mean number of students absent per day is

The molarity of 0.04NBa(OH)2 as a base is-

The molarity of 0.04NBa(OH)2 as a base is-

chemistry-General

Which of the following is correct-

Which of the following is correct-

chemistry-General

parallel

Which represent percent by strength-

Which represent percent by strength-

chemistry-General

What is the normality of 1MH3PO4 solution?

What is the normality of 1MH3PO4 solution?

chemistry-General

Six faces of a balanced die are numbered from integers 1 to 6 This die is tossed 60 times and the frequency distribution of the integers obtained is given below Then the mean of the grouped data is

Six faces of a balanced die are numbered from integers 1 to 6 This die is tossed 60 times and the frequency distribution of the integers obtained is given below Then the mean of the grouped data is

parallel

If 5 is added to each and every item of a data, then the A.M is

If 5 is added to each and every item of a data, then the A.M is

Find the molality of H2SO4 solution whose specificgravityis1.98gml-1and 95% by volume H2SO4

Find the molality of H2SO4 solution whose specificgravityis1.98gml-1and 95% by volume H2SO4

chemistry-General

Assertion: DH is positive for endothermic reactions.
Reason: If total enthalpies of reactants and products are HR &HP respectively then for an endothermic reaction HR<HP.

Assertion: DH is positive for endothermic reactions.
Reason: If total enthalpies of reactants and products are HR &HP respectively then for an endothermic reaction HR<HP.

chemistry-General

parallel

Assertion: Thechemicalreaction,3H2(g)+N2(g) →2NH3 shows decrease in entropy.
Reason: The process passes into equilibrium state when DGT,P becomes zero.

Assertion: Thechemicalreaction,3H2(g)+N2(g) →2NH3 shows decrease in entropy.
Reason: The process passes into equilibrium state when DGT,P becomes zero.

chemistry-General

Assertion: Atconstanttemp0ºCand1atm,the changeH2O(s)→H2O(I)DH and DE both are zero.
Reason: During is other mal process Hand E both remains constant.

Assertion: Atconstanttemp0ºCand1atm,the changeH2O(s)→H2O(I)DH and DE both are zero.
Reason: During is other mal process Hand E both remains constant.

chemistry-General

Assertion: For a particular reaction, heat of combusitionate contant pressure (qp) is always greater than that at constant volume (qv).
Reason: Combustion reactions are invariably accomplished by increase in no. of moles.

Assertion: For a particular reaction, heat of combusitionate contant pressure (qp) is always greater than that at constant volume (qv).
Reason: Combustion reactions are invariably accomplished by increase in no. of moles.

chemistry-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.