Download App

Measures of Dispersion — Economics STD 11 Commerce — Question

CBSE BoardEnglish MediumSTD 11 CommerceEconomicsMeasures of Dispersion6 Marks
Question
Calculate the standard deviation from the given data.
$10, 15, 20, 25, 30, 35, 40$
✓

Answer

Calculation of Standard Deviation,
S. No. X D(X - A), A = 25 $d^2$
1 10 -15 225
2 15 -10 100
3 20 -5 25
4 25 0 0
5 30 5 25
6 35 10 100
7 40 15 225
n = 7   $\Sigma\text{d}=0$ $\Sigma\text{d}^2=700$
$\sigma=\sqrt{\frac{\Sigma\text{d}^2}{\text{n}}-\Big(\frac{\Sigma\text{d}}{\text{n}}\Big)^2}$
$=\sqrt{\frac{700}{7}-\Big(\frac{0}{7}\Big)^2}=\sqrt{100}$
$\therefore\sigma=10$

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 "6 Marks Question" from Measures of Dispersion→Measures of Dispersion — all question types→Economics STD 11 Commerce question papers→CBSE Board STD 11 Commerce question papers→CBSE Board question paper generator→

Similar questions

Show that a perfectly competitive firm maximises its profit only when price = MC
→
Draw 'less than' and 'more than' ogive curves from the following:
Weekly Wages
0-20
20-40
40-60
60-40
80-100
No. od Workers
10
20
40
20
10
→
Construct the following indices by taking 2014 as the base year
  1. Simple Aggregative Price Index.
  2. Index of Average of Price Relative.
Item
A
B
C
D
E
Price in 2014 (₹)
6
2
4
10
8
Price in 2015 (₹)
10
2
6
12
12
Price in 2016 (₹)
15
3
8
14
 16
→
Explain the causes for a leftward shift of demand curve.
→
Following table gives the distribution of companies according to the size of capital. Using step deviation method, find out the mean size of the capital of a company.
Capital (₹ in lakh)
Less than 5
Less than 10
Less than 15
Less than 20
Less than 25
Less than 30
Number of Companies
20
27
29
38
48
53
Hint: In the above problem, cumulative frequenices are given, we first find the simple frequencies and thereafter we will calculate arithmetic mean.
→
Market for a good is in equilibrium. What is the effect on equilibrium price and quantity if the proportionate increase in market demand is less than increase in market supply? Use diagram.
→
Which of the following errors is more serious and why?
  1. Sampling error.
  2. Non-Sampling error.
→
Draw a less than ogive curve on the basis of the given data:
Marks
0-5
5-10
10-15
15-20
20-25
25-30
30-35
35-40
No. of Students
3
10
20
30
20
9
5
3
→
(i) A consumer buys 18 units of a good at a price of Rs 9 per unit. The price elasticity of demand for the good is (-)1. How many units the consumer will buy at a price of Rs 10 per unit. Calculate.
(ii) Price elasticity of demand of goods is (-) 4. When price of the goods falls, its demand rises by 24 percentage. Calculate percentage change in price
→
Calculate coefficient of correlation between age group and rate of mortality from the following data:
Age group
0-20
20-40
40-60
60-80
80-100
Rate of mortality
350
280
540
760
900
→