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(2) Making silly mistakes
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1) What is an Average ?
It is a term used to summarise (or describe) a group of numbers.
When people say "average", they are always taking about the "mean" average and not the other 2 types of average.
2) What are the 3 different types of Average ?
Mean - Average
Median - Middle
Mode - Most
3) What is the Mean ?
Also known as Average
This is the total of the items divided by the number of items
4) There are 7 trays of sausages with a mean average of 13 sausages per tray.
One more tray is added that contains 21 sausages.
What is the mean average number of sausages on the tray now ?
5) What is the Median ?
This is the middle value when numbers are in order of size
6) What is the Mode ?
This is value that is most common
The number that occurs the most.
7) What is the mode of these numbers: 2, 4, 6, 8 ?
When all the numbers are different, there is no mode.
8) What is the Range when describing numbers ?
The difference between the largest and the smallest numbers.
9) What are the 3 primary colours ?
paper / painting - Red, Yellow, Blue
light / screen - Red, Green, Blue
10) What is a Pictogram ?
A pictogram is a chart that uses pictures to represent data.
11) What is a Chart ?
A graphical representation intended to make information easier to understand.
12) What is a Bar Chart ?
Also known as Bar Graph
These blocks are horizontally
13) What is a Column Chart ?
These block are vertical
14) What is a Line Graph ?
Also known as Line Chart
15) What is a Pie Chart ?
A type of graph where a circle is divided into sectors.
16) What is a Frequency Bar Chart ?
This is a bar chart where the height of the bar shows the frequency of each item.
17) What is a Frequency Table ?
This is a table that lists items and shows the number of times each item occurs.
18) What is a Frequency Polygon ?
A line graph of class frequency plotted against class modpoint
It is obtained by joining the midpoints of the tops of the rectangles from the histogram.
19) What is a Grouped Frequency Table ?
20) What is a Venn diagram ?
A diagram in which data is organised into overlapping circles (and sometimes other shapes).
21) What is a Carroll diagram ?
A Carroll diagram is used to organise data and group it according to whether it fits certain criteria.
22) What is a Decision Tree ?
23) What does Bearing mean ?
An angle between the direction north and the direction in which you are travelling.
24) What are the Roman Numerals ?
I = 1 | IX = 9 | LXXX = 80 |
II = 2 | X = 10 | XC = 90 |
III = 3 | XX = 20 | C = 100 |
IV = 4 | XXX = 30 | D = 500 |
V = 5 | XL = 40 | M = 1000 |
VI = 6 | L = 50 | XVII = (10 + 5 + 1 + 1) = 17 |
VII = 7 | LX = 60 | IX = (1 + 10) = 11 |
VIII = 8 | LXX = 70 | DXI = (500 + 10 + 1) = 511 |
25) What is a plane ?
A flat, 2D surface that extends infinitely.
26) What are Coordinates ?
They are pairs of numbers that show the exact position of a point on a grid.
Normally within brackets and separated by commas.
27) Can you describe the word 'Fewer' ?
28) Can you describe what a Weighted Average is ?
29) What is Standard Deviation ?
30) What is the Sharpe Ratio ?
31) What is R squared ?
32) Can you give the names of some measures of central tendency ?
33) Can you give the names of some measures of dispersion ?
34) Can you describe Brownian Motion ?
This is the random motion of particles in a fluid resulting from their collision with the fast moving atoms in the fluid.
This is a continuous-time random (stochastic) process and it is a limit of both simpler and more complicated random processes (random walk and Donsker theorem)
Brownian motion is described by the wiener process
35) Can you describe Geometric Brownian Motion ?
36) There's a horse race with 25 horses and 5 lanes. What's the minimum number of races you need to find the fastest three horses?
37) There are 100 prisoners in a cell and you are the warden and you have one bullet. How can you prevent all of them from escaping?
38) You toss a fair coin 400 times. What's the probability that you get at least 220 heads? Round your answer to the nearest per cent.
39) We are at a junction. P is the probability that at least one car will pass in the next 20 minutes. What's the probability that no car will pass in the next five minutes?
40) 10 people of different ages sit around a table. What's the probability that they sit in an age-ascending order?
41) What is STEM an acronym for
Science Technology Engineering Mathematics
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