Topic Details (Notes format)

How to Use the Margin of Error in Surveys

Subject: Mathematics

Book: Maths Mastery

Margin of error quantifies the uncertainty in poll or survey results. Often expressed as z*(σ/√n) for large samples, it indicates how far the sample statistic might deviate from the true population parameter. If a political poll with 1,000 respondents yields 55% support for a candidate, the margin of error might be ±3%, meaning actual support could be between 52% and 58%. Understanding the margin of error fosters realistic interpretations of poll outcomes and confidence in decision-making. It underscores why certain poll differences might be “within the margin of error,” preventing hasty conclusions.

Practice Questions

If x^3 - 3x^2 + 4 = 0, what is one root of the equation?

View Question

What is the sum of the interior angles of a hexagon?

View Question

What is the sum of the first 50 positive integers?

View Question

A sum triples in 20 years at simple interest. What is the rate of interest per annum?

View Question

If sin(θ) = 0.6 and θ is acute, what is cos(θ)?

View Question

If a = 2 and b = 3, what is the value of (a^2 + b^2)?

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

A number is increased by 20% and then decreased by 20%. What is the net change?

View Question

The simple interest on Rs. 4000 at 5% per annum for 2 years is:

View Question

A cone has a base radius of 7 cm and height of 24 cm. What is its volume?

View Question