# A Ton of Functions

A project log for Terminal-BASIC programmable calculator

A poket-to-laptop size microcomputer/programmable calculator, based on Arduino DUE and Terminal-BASIC

ptrav 06/15/2020 at 10:191 Comment

Over 70 application functions have been implemented so far.

The full list is here.

For instance, if you want to compute an average, it is easier than on HP-35s!

## Common Experiment Processing

Given: In the dance class of 10 students, the heights were measured at 147, 152, 165, 163, 168, 163, 175, 166, 170, and 167 cm.

Find: The mean height and its standard deviation in the class.

1. Type `clear sum`, `<Enter>` (a shortcut is `<F1>`, `<A>`, which displays `clear `)
2. Type `sum 147`, `<Enter>`
3. Type `sum 152`, `<Enter>`
4. Continue for the other 8 numbers. Instead of typing sum, you also can type a number and press `<F1>`, `<S>`
5. After each number the calculator displays number of samples, the mean and standard deviation.

After entering all 10 numbers, the display shows:

N____________________10

StDev________ 8.30261003

Mean______________163.6

Sum updated____________

>_

Answer: the average height of the class student is 164 cm (68% of samples are in the interval of 164±9 cm).

## Normal Distribution and Probability

Given: In the dance class as above, assume normal distribution and fair representation of the school population.

Find: (1) Probability the next class participant is taller than 175 cm. (2) Interval of heights for 95% of the school population.

1. Type `prob(175)`, `<Enter>`
2. The calculator displays: 0.91513344. This is the probability the next participant is under 175 cm.
3. To find the answer, type `1`, `<Enter>`, `<Arrow Down>`, `<->`. The calculator displays: 8.48665622e-002.
4. Type `1`, `<Enter>`, `0.95`, `<->`, `2`, `/`, `probit`,`<Enter>`.
5. The calculator displays: 147.3(...) This is the lower value.
6. Type `probit( 0.975)`, `<Enter>`.
7. The calculator displays: 179.9(...) This is the upper value.

Answer: (1) the probability to find a student taller than 175 cm is 8.5% . (2) In the school, 95% of the students are in the interval between 147.3 and 179.9 (or 163.6±16.3) cm in height.

## Discussions

RomanS wrote 06/15/2020 at 18:40 point

fantastic work done!

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