Download App

Measures of Central Tendency — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Central Tendency4 Marks
Question
Give formula for arithmetic mean in individual series by all the methods.
✓

Answer

Direct method: $=\overline{\text{x}}=\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{x}_\text{i}$ Short cut Method: Under this method the formula for calculating mean is,$\Rightarrow\overline{\text{x}}=\text{A}+\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{d}_\text{i}$
Where A = assumed mean $d_i =$ deviations of items taken Stor from the assumed mean. n = Number of observations Step Deviation Method: Under this method the formula for calculating mean is$\Rightarrow\overline{\text{x}}=\text{A}+\frac{1}{\text{n}}\sum\limits^\text{n}_{\text{i}=1}\text{d}'_\text{i}\times\text{i}$
Where A = assumed mean$\text{d}'_\text{i}=$ deviations of items taken from the assumed mean divided by common factor.
n = Number of observations.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "4 Marks Question" from Measures of Central Tendency→Measures of Central Tendency — all question types→Economics STD 11 Commerce question papers→CBSE Board STD 11 Commerce question papers→CBSE Board question paper generator→

Similar questions

Following is the total utility schedule of Mr. X:
Units of Commodity-X1234567
$TU _{ x }$ (Utils)20375161666664
(i) Derive MU schedule.
(ii) Find out the level of consumption at which Mr. X reaches the saturation point.
(iii) How many units should the consumer purchase to maximise satisfaction when the price of the commodity is ₹5? (Assume that utility is expressed in utils and 1 util = ₹2). Give reasons for your answer.
→
Price elasticity of Good$-X$ is one and a half times the price elasticity of Good$-Y. S_X$ rises from $125$ units to $175$ units due to a $16$ per cent rise in$ P_X$ Calculate the percentage fall in Sy if $P_Y $ reduces from $₹ 10$ to $₹ 7.$
→
A perfectly competitive firm faces the market price of ₹20 per unit. Derive its TR schedule for a range of output from 1 to 10 units. What will happen to market price if the firm decides to suspend its production for the time being?
→
Draw a marginal revenue curve of a perfectly competitive firm and explain why the marginal revenue of a perfectly competitive firm is always equal to its average revenue.
→
How is equilibrium price of a commodity affected by change in its supply?
→
List some variables where accurate measurement is difficult.
→
Distinguish between cardinal and ordinal measurement of utility.
→
Draw a scatter diagram and interpret whether the correlation is positive or negative.
X
4
5
6
7
8
9
10
11
12
13
14
15
Y
78
72
66
60
54
48
42
36
30
24
18
12
→
Calculate arithmetic mean from the following data:
x
f
Less than 10
5
Less than 20
15
Less than 30
55
Less than 40
75
Less than 50
100
→
The price quotation of different commodities for 2014 and 2015 are given below. Calculate the index number for 2015 with 2014 as base year by using:
  1. Simple Average of Price Relative.
  2. Weighted Average of Price Relative.
Commodity Unit Weight Price ( ₹)
2014 2015
A Kg 5 2.00 4.50
B Qunintal 7 2.50 3.20
C Dozen 6 3.00 3.50
D Kg 2 1.00 1.80
→