Just showing how to use the stdev function from the stats extension to calculate the standard deviation of a list of numbers.

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Calculate efficiency

Solve for x and y on a given triangle and calculate the area

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Calculate the midpoint of two points.

Calculate the midpoint of two points.

Calculate the hypotenuse of a right triangle, given the other two side lengths.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.

i.What is the probability that a one page document will contain x1 printing error(s)?

ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution.

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Printing errors in the work produced by a particular film occur randomly at an average rate of p per page.

i.What is the probability that a one page document will contain x1 printing error(s)?

ii.If a n page document is printed, calculate the probability of having more than x2 errors. Assume a Poisson distribution.

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

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Calculate the Pearson correlation coefficient on paired data and comment on the significance.

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Scores  in 20 games and frequency given -- calculate mean.

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Scores (including negatives)  in 20 games and frequency given -- calculate mean.

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Find the stationary point $(p,q)$ of the function: $f(x,y)=ax^2+bxy+cy^2+dx+gy$. Calculate $f(p,q)$.

This question provides a sample of 20 data values and requires the calculation of mean, median, and standard deviation. The data are presented as a column so they can be easily copy-pasted into a spreadsheet.

This question provides a list of data to the student. They are asked to find the mean, median, mode and range.

This question tests the students ability to calculate the area of different 2D shapes given the units and measurements required. The formulae for the areas are available if required but students are encouraged to try to remember them themselves.

The shapes are: a rectangle, a parallelogram, a right-angled triangle, and a trapezium.

Author of gif: Picknick
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Find the common ratio of a given geometric sequence, write down the formula for the nth term and use it to calculate a given term in the sequence.

(Calculate the estimate, actual and from these the percentage error)

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(Calculate the minimum and maximum approximations of an estimate)

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(Calculate the estimate, actual and the percentage error from these)

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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

Two ordered data sets, each with 10 numbers. Find the sample standard deviation for each and for their sum.

A static block of given mass is sits on a flat plane with defined static and kinetic friction values. It is pushed with enough force to start it moving - calculate the speed of the block after a given distance.

Calculate the efficiency and heat from the hot reservoir in a Carnot Cycle (with carnot diagram)

Calculate the efficiency and heat from the hot reservoir in a Carnot Cycle (with carnot diagram)

A simple ideal gas law question, using number of molecules, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp. As such the boltzmann constant is in either J/K or L atm/K.

pV = 1/3 Nm<v2>

A simple ideal gas law question, using number of molecules, that asks the student to calculate one of the four variables. he question can ask for either L atm, or kPa m3, and either K or C for temp. As such the boltzmann constant is in either J/K or L atm/K.