TOPIC 1 Flashcards
Metric Units and the SI System
What is the Si Unit for length?
Metre (m)
What is the Si Unit for Mass?
Kilogram (Kg)
What is the SI Unit for Current?
Ampere (A)
What is the SI Unit for Temperature?
Kelvin (k)
What is the SI unit for Luminous Intensity?
Candela (Cd)
What is the SI unit for the amount of substance?
Mole (mol)
Convert 0059Kg to Grams
0059.0 x 1000 = 59g
10mm is equal to how many cms?
1cm
What is 1dm3
1 Cubic Decilitre - 1L
100mm2 is equal to how many centimetres squared
Answer = 1cm2
10mm = 1cm
1000mm = 1cm3
Convert 2370cm2 to m2
100cm = 1m so 100cm2
10000cm2 = 1m2
Therefore we must divide 2370cm by 10000 to express the quantity in square metres
2370cm2 = 2370/10000 m2
0.2370m2
Convert mg to Kg
x10 to the negative 6
List 5 most important points when taking good quality measurements
1 - Plan in advance
2 - Check the system is running normally
3 - Calibrate instrumentation
4 - Check the instruments are operating normally
5 - Prepare data sheet
6 - Record raw data directly
7 - Note start and end conditions of system and instruments
How to avoid systematic bias of a data sample of the entire population
The data is taken at random all population has an equal chance of being chosen
What is qualitative data?
Qualitative cannot be arranged in order of magnitude and can include properties such as colour and shapes or types of fault.
What are quantitive data types?
Are usually integer data Ie. yes or no counted
What is discrete data?
What are some examples?
Separate values with no intermediate values or continuous variable.
Pass/Fail
Go/no go gauge
Accept reject
What is Continuous data?
What are some examples?
Is usually measured on a continious scale such as temperature.
Length of wire
What is random variation?
Random variation is a natural variation that is caused by many minor factors in a process
What is assignable variation?
Assignable variation is a variation that can be traced back to a specific cause such as tool failure or different operators.
What is statistical process control?
Statistical process control removes any assignable variation before running tests. For accuracy of results
What are the benefits of a pie chart?
It gives a good clear picture of the data
What are the disadvantages of a pie chart?
If there are more than 5 pieces of information it may not be clear at a glance.
What is the formula to work out pie chart distribution?
360 x n / total n
How do you calculate the range of data?
Difference between the maximum and minimum data set in order of magnitude.
Range = Maximum - Minimum
How many class intervals should there typically be?
Between 8 and 15
What does ‘n’ denote?
n is the number of class intervals
What does ‘k’ denote?
k denotes the class width or number of intervals.
How do you work out the class width?
k = r / (n - 1)
r = range
n = number of class intervals
What will the result be of having too many class intervals?
Too many class intervals will spread data too far for trends and patterns to emerge
What will the result be if there are too little class intervals?
Too little class intervals will compress the data into a shapeless block.
What is cumulative frequency?
Cumulative frequency is the sum of all current and lower frequencies
What are the benefits of a cumulative frequency curve?
A cumulative frequency curve will help you find the median, quartiles and percentiles of a data set.
What is relative frequency?
Relative frequency takes a set point from the entire data sample it is a percentage or proportion of each class.
How do you work out the relative frequency?
Relative frequency = Frequency of event occuring / Total number of trials of the experiment.
Describe skewed to the left data distribution
Skewed to the left is when the mean is less than the median. Which is often less than the mode.
Describe skewed to the right data distribution.
Skewed to the right is when the mode is often less than the median which is less than the mean.
What is symmetrical distribution
Symetrical distribution is when variables appear at the same frequencies often meaning the mean mode and median occur at the same point.
What is the mode?
Mode is the event which occurs most often. If all values have the same frequency then the mode cannot be determined.
Describe Bimodal distribution
Bimodal distribution is when 2 distinct centres of data
What is a common cause of Bimodal frequencies
A common cause of this is mixing two data sets.
What is the median?
The median is the middle value of data when organised in order of magnitude.
If there is an even number of values then how do we calculate the median?
The median is calculate as the average of the two
What is the mean?
The mean is the arithmetic average of all the values in the sum
What is x bar
Is the mean
What is the following symbol?
x̄
The mean or x bar
When data becomes more skewed what should be used instead of mean
The median are more useful when the data becomes more skewed. Medians are unaffected when data is bimodal.
What figure is required when aiming to interpolate?
The median
The median separates data into what?
2 quantiles
When data is separated into 4 parts what is this called?
Quartiles
When data is separated into ten equal parts what is this called?
Decilies
When data is separated into 100 equal parts what is this called?
Percentiles
What is the interquartile range?
Is the difference in the range of two quartiles
Advantages of the mean
Easily understood
Uses all values
In common use
Disadvantages of mean
Affected by extreme values
Need to know all values
May not represent central tendency
Advantages of Mode
Not affected by extreme values
Easy to calculate
Disadvantages of mode
May be in local peak away from main data
Does not use all of the individual values in data
May be more than one mode
Advantages of median
Easy to obtain
Not affected by extreme values
Only needs half the data to be calculated
Disadvantages of median
Does not use all the individual values in data
Can be misleading
Difficult to involve equations
What is population
population is used to describe the full or complete distribution denoted as uppercase ‘N’
What is sample denoted as
sample is lower case ‘n’
What is variance?
Variance is the measure of actual spread of variation in data
What is population variance denoted as
O2
What is bressels correction
Bressels correction is used for a correction factor of n/n-1 allows for the sample average to be used instead of population mean.
What is xi in standard deviation
xi is the the value of a variable
What is this symbol? μ
μ is the population average
What is this symbol? x̄
x̄ is the sample average
What happens when you have a negative squared?
It becomes positive
What are the 3 steps of standard deviation?
Step 1 - find the mean
Step 2 - Find the sum of all data points
subtracting the data point from mean then squaring result (this is also the variance)
Step 3 - Find the square of of step 2 divided by number of data points ‘n’
What is the excel formula for standard deviation?
STDEV.S
What is the excel forumal for variance?
For population - var.p
What is a low standard deviation?
Indicates that data points are close to the mean
What is a high standard deviation?
Indicates that data points are spread out over a wider range