Give an example of discrete numerical data.
Any data set that is numerical using whole numbers
What is the percentage change for $50 to $80
60%
A matrix with the same number of rows and columns is called a _______ matrix.
square
What is the slope of the line y=2x+1
2
What is 32% of 250?
80
What is the interquartile range (IQR) of:
4, 6, 8, 9, 10, 13, 15, 17, 20
Q1 = 8, Q3 = 17 ⇒ IQR = 17 − 8 = 9
If I invested $2000 in my bank account, did not put anything extra in, and by the end of 3 years had $2750, how much interest did I receive?
$750
What is the result of multiplying a 2×3 matrix by a 3×1 matrix?
2 x 1
A movie rental costs $5 plus $3 per day. Write an equation for this situation.
Cost = 5 + 3 x day
A class has 20 students. Their mean score is 65. What is their total score?
1300
Is the mean or median a better measure of center for skewed data?
Median
Find the balance for annual compound interest on $1,500 at 5% for 2 years
=$1,653.75
In an undirected communication matrix, what do the 1's represent?
Direct communication between two parties
Another word for vertical intercept is
y-intercept
A student estimates the average height of students in their class is 160 cm. Why might the median be a better measure?
Possible outliers in the data
A class of students completed a standardised mathematics test. The scores were normally distributed with a mean of 70 and a standard deviation of 8.
What percentage of students scored between 62 and 78?
68%
What is the difference between flat rate and reducing balance depreciation?
Flat rate: Same value lost each year
Reducing balance: Loss is a % of the current value, so loss amount decreases each year
What does the identity matrix do when multiplied by another matrix?
Nothing
Solve the simultaneous equations:
y=2x+1
y=−x+4
(1, 3)
Explain how you would tell if a distribution is skewed just by looking at its boxplot.
Long lower or upper tail. Median towards one end of the box.
You invest an amount at 4% p.a. compound interest, compounded annually. After 5 years, the investment is worth $6,082. What was the original amount invested?
$5000
What is the formula used to help us calculate domainance?
adjacency matrix + adjacency matrix2 = dominance matrix
Add each row in the dominance matrix to determine rank order
Provide a real life situation where a piecewise graph might be used
answers will vary