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ALGEBRA
MEASURES OF CENTRAL TENDENCY
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GRAPHS
100

Factorise x2-5x-36

(x-9)(x+4)

100
The measure of central tendency that represents Q2 in the boxplot.
What is MEDIAN
100

Find Q1, Q2, and Q3 from the set of data 4, 8, 12, 20

What is Q1=6, Q2=10, Q3=16

100
What is MRS Grant' favourite summer time activity

Paddle Boarding

100

The type of graph that represents data using vertical bars of various heights that indicate frequencies. The bars are stuck together

Histogram

200

expand (2x-3)2

4x2-12x+9

200
The mean from the set of data 2, 8, 10, 16, 18, 20
What is 12.3
200

What is the Range of the numbers 54,34,6, 12,7,65

59

200

The range of a list of integers is 20, and the median is 17. What is the smallest possible number of integers in the list?

2

200

Describe what makes up the 5 number summary used to make a box plot

Minimum, Q1, Median, Q3, Max

300

Solve for x

x2-6x=27

(x-9)(x+3)=0

x=9 x=-3

300
The mode from the set of data 8, 18, 12, 26, 18, 19, 5
What is 18
300

The standard deviation of a set of data is 2.5, the mean is 17. What is the range of the data that lies within one standard deviation of the mean?

14.5 to 19 .5

300

What value of  x makes the mean of the first three numbers in this list equal to the mean of the last four?


15       5        x       7         9         17

19

300
In a study on eating habits, 1000 students were surveyed and 22% of the students shown on a pie graph did not each breakfast. Find the number of students that did not eat breakfast.
What is 220
400

solve for x,

2x2-128 = 0

x = 8    x= -8

400
The median from the set of data: 6, 2, 5, 8, 19, 5, 20
What is 6
400
The standard deviation of the scores 80, 60, 55, 60, 70
What is 8.94
400

A Maths student  scores 60 on his maths test. His class had an average of 70 and a standard deviation 5.

How many standard deviations away from the mean is this student

2 STandard Deviations below the mean

400
In a study on social networks, 500 teenagers were surveyed and 6% of the students shown on a pie graph did not use social networks. Find the number of teenagers who did not use social networks.
What is 30
500

Solve for x

3x2-11x-4=0

x=-1/3

x=4

500

In a class of 30 students, the mean height of the 12 girls is 164 cm and the mean height of the 18 boys is 166 cm. Find the mean height of the whole class.

165.2

500

The standard deviation of the sample scores 80, 60, 55, 60, 70

10

500

A student scored 1 standard deviation below the men for maths . The mean was 75% and the standard deviation was 2.1. What was their score for the test?

72.9

500

How do you calculate the Upper Boundary of an Outlier?

Upper Boundary = Q3+1.5 x IQR