Maths skills Flashcards

1
Q

What does chi squared determine?

A

The difference between the frequencies of different groups

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2
Q

How do you calculate degrees of freedom for chi squared?

A

n - 1 (number of categories - 1)

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3
Q

What does the correlation coefficient determine?

A

The correlation between two different variables

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4
Q

How do you determine the degrees of freedom for correlation coefficient?

A

There isn’t one. The number of categories is the degrees of freedom

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5
Q

What does the student t-test determine?

A

It looks at the difference between two means

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6
Q

How do we calculate the degrees of freedom for t tests

A

(n1 + n2) - 2

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7
Q

What does it mean when the calculated value is greater than or equal to the critical value?

A

If the calculated value is greater than the critical value, there is a less than 5% probability that the difference in the results is due to chance therefore, we can reject the null hypothesis

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8
Q

What does it mean when the calculated value is less than the critical value?

A

If the calculated value is less than the critical value, this means there is a greater than 5% probability that the results are due to chance and therefore, we can accept the null hypothesis?

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9
Q

How to convert between nm, μm, mm, km?

A

Divide or multiply by 1000

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10
Q

How to calculate the rate if a reaction?

A

Rate = 1/time

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11
Q

How to calculate the rate if reaction when determine how much something has changed over time?

A

Rate = change/time

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12
Q

What are the units for breathing rate?

A

min-1

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13
Q

How to calculate uncertainties?

A

Smallest increment of measurement and divide by 2. Add a ± sign

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14
Q

How to calculate the percentage error?

A

(uncertainty value/measurement) x 100

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15
Q

Calculate the rate on a slope?

A

Change in y/change in x

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16
Q

How to calculate the percentage yield?

A

(Theoretical yield / actual yield) x 100

17
Q

Surface area to volume ratio?

A

Surface area / volume
The :1 is always on the right

18
Q

How to find the gradient of a line?

A

y = mx + c
Where m is equal to the gradient and c = y-intercept

19
Q

What is the formula for an area of a circle?

A

πr^2

20
Q

What is the formula for the circumference of a circle?

A

πd or 2πr

21
Q

What is the formula for surface area?

A

(width x length) x 6

22
Q

What is the formula for volume?

A

Width x length x height

23
Q

What is standard deviation?

A

A measure of how spread the values are from the mean

24
Q

What are the advantages of using standard deviation?

A
  • Shows ho spread the date is
  • Reduces the effect of anomolies