Data Analysis
An elephants log weight is 3.4. What is the actual weight, round to the nearest whole number?
2512kg
The temperature of a room is measured at hourly intervals throughout the day. The most appropriate graph to show how the temperature changes from one hour to the next is:
A. boxplot
B. stem plot
C. histogram
D. time series plot
E. two-way frequency table
D. time series plot
If the annual interest rate is 4.8%, what is the monthly interest rate?
0.4%
If there is no unique solution in 2 simultaneous equations. Why might this be?
The det = 0
A group of Year 12 students recorded the number of hours spent watching Netflix. The times were approximately normally distributed with a mean of 10.8 hrs and sx of 1.5 hrs. What is the percentage of students who watched between 9.3 hours and 13.8 hours of Netflix, answer to 1 decimal place.
81.5%
The variables recovery time after exercise (in minutes) and fitness level (below average, average and above average)
A. both numerical respectively
B. both categorical respectively
C. Numerical and nominal respectively
D. Numerical and ordinal respectively
D. Numerical and ordinal respectively
What is a perpetuity?
An investment that will never diminish. IN = OUT
On a Friday morning, Matrix G shows that 18 cake, 12 cookies and 64 coffees were sold at a cafe. Matrix G is a 1x3 matrix. Matrix H shows the cost of each item sold on Friday morning. To find the total value of the sales at the cafe on Friday morning, what is the order of Matrix H?
H= 3 x 1
GH = 1 x 3 and 3 x 1 = 1x1 (total)
On a Maths test, you achieved 65, the mean was 55 and the standard deviation was 5. What is your z score and how did you place in terms of your class?
+2 and top 2.5%
This is another name for the r value when looking at scatterplots.
Pearson's correlation coefficient
How many times is an account compounded if it is compounded every 3 months for 5 years?
20
3 x 3 and identity matrix
If the coefficient of determination is 64.5%. The association between the two variables can be described as strong, positive, linear. What is the value of r, round to 2 decimal place?
0.80
The possible transformations used when trying to linearise data the represents the top right part of a circle.
y squared or x squared
What type of recurrence relation is this? Vo= 300 Vn+1= .88Vn
Reducing balance depreciation
T20 x S0 and T21 x S0 etc.. must be same values in subsequent matrices.
If there are 4 storms in December, 10 storms in January, 12 in February and 6 in March. What is the 3 moving mean for the February, round your answer to 2 decimal places?
9.33
What would be the most appropriate graph to show the association between the monthly median rainfall, in millimetres, and month of the year (January, February, March)?
Parallel boxplots
George invests $500 000 into a perpetuity that will compound monthly and provide a monthly income without using any of the initial investment. If the interest rate for the perpetuity is 6% per annum, what monthly payment will George receive?
$2500