Linear Equations Exercises

Exercises

Question 1

Using the given point, what is the equation of this straight line in Point-Slope Form?

Linear Equations

Equation of a Straight Line

The equation of a straight line is usually written this way:

y = mx + b

What does it stand for?

Standard Deviation and Variance Exercises

Exercises

Question 1

What is the population standard deviation for the numbers: 75, 83, 96, 100, 121 and 125?

Question 2

A booklet has 12 pages with the following numbers of words:
271, 354, 296, 301, 333, 326, 285, 298, 327, 316, 287 and 314

What is the standard deviation number of words per page?

Question 3

The population standard deviation of the numbers 3, 8, 12, 17, and 25 is 7.563 correct to 3 decimal places.

What happens if each of the five numbers is multiplied by 3?

Standard Deviation and variance

Definitions

Standard Deviation

The Standard Deviation is a measure of how spread out numbers are:

The symbol is σ

Formula: it is the square root of the Variance.  

Variance

The Variance is defined as: 

The average of the squared differences from the Mean.

Mean, Median, Mode Exercises

Exercises

Question 1

What is the mean of the numbers 8, 9, 13 and 18?

Question 2

What is the mode for the numbers 7, 6, 5, 8, 7, 5, 9, 3, 5 and 4?

Question 3 

What is the median of the numbers 4, 2, 11, 6, 2 ?

Mean, Median, Mode

Finding Central value

 

Probability Exercises

Exercises

Question 1

A die is thrown once. What is the probability that the score is a factor of 6?

Question 2

A card is chosen at random from a deck of 52 playing cards.

There are 4 Queens and 4 Kings in a deck of playing cards.

What is the probability the card chosen is a Queen or a King?
 

Question 3 

A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?

(A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.)

Probability

Definition

How likely something is to happen.

well, yes! it's more like unpredictable.

Many events can't be predicted with total certainty. 

The best we can say is how likely they are to happen, using the idea of probability. 

Data Exercises

Exercises

Question 1

Which one of the following is discrete data?

A) She is 45.2 cm long.

B) She is 22.3 cm high.

C) She weighs 5.4 kg.

D) She has 30 teeth.

 

Question 2

Which one of the following is discrete data?

A) Sam is 160 cm tall

B) Sam has two brothers and one sister

C) Sam weighs 60 kg

D) Sam ran 100 meters in 10.2 seconds

Question 3 

Which one of the following is continuous data?

A) She has two eyes.

B) She has five kittens.

C) She weighs 5.4 kg.

D) She has four paws.

 

Data

Definition

Data is a collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Qualitative vs Quantitative

Data can be qualitative or quantitative

1. Qualitative data is descriptive information (it describes something)
2. Quantitative data is numerical information (numbers)