Data, Probability, Circle Graphs

A Quick Review…5, 8, 9, 3, 10

Mean – The average. (Add all the numbers in your data set, and divide by the total number of numbers in the data set.)

(5+8+9+3+10)/ 5 = 7

Median – Middle number in a data set. (Order from least to greatest… it is the number in the middle.)

3, 5, 8, 9, 10 … = 8

Mode – The most commonly occurring number in the data set.

No answer, no numbers are repeated.

Range – Take the biggest number and subtract the smallest number from it to find the range.

10-3 = 7

Probability… What you need to know!

Probability – The likelihood that an event will happen.

Theoretical Probability - Probability of an event happening, “in theory” or logically. P(event) = the number of favorable outcomes

total number of possible outcomes

EXAMPLE: The odds of throwing a dice and getting a 4.

P(event) = 1

6

Probability… More you need to know!

Experimental Probability - Probability of an event happening, based on an experiment performed. P(event) = number of times an event happens

total number of trials

EXAMPLE: The number of times a 4 is rolled, when a dice is tossed a total of 25 times.

A 4 is rolled 5 of the 25 times the dice is tossed.

P(event) = 5 = 1

25 5

How to make a Circle Graph… (Part 1)

A class is given a survey related to their favorite pets. The results are given in the frequency table below.Pet Frequency “Fraction”

it OccursDo the Math…

(multiply by 360)

Degrees of Circle

Dog 7 5/20 = .35 .35 * 360 126

Cat 3

Fish 5

Turtle 5

TOTAL: 20 ---------- 360

Extension Added to Frequency Table

How to make a Circle Graph… (Part 2)

Draw a circle… Hint: Use your protractor to do this!

Use your protractor to make each of the sections of your bar graph the appropriate number of degrees (as shown in your extended frequency table).

Create a key for the Circle Graph (patterns or colors) AND/OR Label the Circle Graph itself.

Include a title!!!

108 Degree Example

How to make a Circle Graph… (Part 3)

Favorite Pets

Dogs CatsFishTurtles

(CHANGE PART 2 TO BAR GRAPH)