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secondary 4 | E Maths
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Annela
Annela

secondary 4 chevron_right E Maths chevron_right Singapore

How do i calculate standard deviation using a stem and leaf diagram?
Is it calculate mean list the numbers then square them add all up find Ex^2. Using standard deviation formula thrn put in values respectively fir bith mean and Ex^2?

Date Posted: 5 years ago
Views: 9559
Eric Nicholas K
Eric Nicholas K
5 years ago
Good evening Annela! I would put all the data points in a calculator to be stored so that I can use the in built function to calculate standard deviation. I only know how to do this on a Casio calculator.

The Long method requires you to list out the mean and the [sum of the squares of all the data] / [number of data].
Annela
Annela
5 years ago
Ok but if the question requires to draw a table to calculate Ex and Ex^2 then find standard deviation, how to do?
Eric Nicholas K
Eric Nicholas K
5 years ago
Good evening Annela! Give me a moment while I come out with a sample using the last 10 data values in the list.
Eric Nicholas K
Eric Nicholas K
5 years ago
The letter “f” in the formula simply means frequency, so that in the event like sat, a data value “95” appears 100 times, you won’t have to write “9025 + 9025 + 9025 + 9025 + ...” for a total of 100 times.

I did not use it here as the number of repeated data values are relatively small.
Eric Nicholas K
Eric Nicholas K
5 years ago
Annela, let me know if you need more help with such questions. As for your other question, I will look at it at a later time since I am currently giving lessons to my students.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
Good evening Annela!!! Here is a sample idea of how to calculate standard deviation. You need to collect the data values for x and compute the following.

1. Total number of data values, n
2. Sum of all the x values, Ex
3. Compute the respective values of x2
4. Sum of all the x2 values, Ex2
5. Use the formula provided in the formula sheet
Annela
Annela
5 years ago
Thank you so much
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syjiaxuan
Syjiaxuan's answer
290 answers (A Helpful Person)
Hi, I made a sample question to explain to you