How to Calculate Mean & Standard Deviation by Calculator (Casio fx-96SG PLUS)

Calculating Standard Deviation on Casio fx-96SG PLUS

Calculating Standard Deviation on Casio fx-96SG PLUS

These are the instructions to calculate mean & standard deviation by the Casio fx-96SG PLUS calculator.

It works on the older Casio fx-95SG PLUS calculator as well.

 

For those taking O Level Mathematics (E Maths), take note that you still have to apply the formula and show full workings when calculating mean and standard deviation.

Use the calculator to check your answer.


Important buttons

Pay attention to the following buttons:

SHIFT, Directional and MODE buttons just below the screen

SHIFT, Directional and MODE buttons just below the screen

1. The leftmost button SHIFT. We use this button to assess the alternative commands of the other buttons.

2. The directional buttons (▲ ▼ ◄ ) at the center.

3. The button MODE which is second from the right.


Step 1: Enable the Frequency column in calculator

The frequency (FREQ) column allow us to specify the number of repeats for each item.

 

Steps

  • Press SHIFT, followed by MODE
  • We should be at the following screen:
First set-up screen

First set-up screen

 

  • Press ▼ (Down direction key) once
  • We will get to the next set-up screen:
Second set-up screen

Second set-up screen

 

  • Press 4 to choose 4: STAT
  • This is the Frequency selection screen:
Frequency selection screen

Frequency selection screen

 

  • Press 1 to turn Frequency on

Step 2: Entering Data

Let's consider an example. (The full question can be found here.)

The following table shows the number of goals scored by the first twenty Manchester United players in the 2012/2013 title winning season.

Number of goals Frequency
0 5
1 4
2 3
3 2
4 2
5 1
16 1
18 1
30 1

Now, we enter this data into the calculator.

 

Step 2(a)

  • Press MODE
  • We will get to the mode selection screen:
Mode selection screen

Mode selection screen

 

  • Press 2 to choose 2: STAT
  • We will get:
Statistics screen

Statistics screen

 

  • Press 1 to choose 1: 1-VAR
  • We will get:
Data entry screen

Data entry screen

However, if you get a screen without FREQ (as shown below), you need to enable the Frequency column. Go back to Step 1.

Data entry screen with no FREQ

Data entry screen with no FREQ

 

Step 2(b): Entering X

  • Now we begin entering the data, starting from the first column X. For the example above, X is the number of goals scored.
  • For the first entry, enter 0 and press =
Enter first entry 0 followed by =

Enter first entry 0 followed by =

  • Ignoring the FREQ column, we do the same for the subsequent rows:
The next two entry 

The next two entry 

  • Fill up the remaining entries using the same approach.

 

Step 2(c): Entering FREQ

  • Using the directional keys, we navigate to first entry in the frequency column. 
  • For the first entry, since 5 players scored 0 goal each, we enter 5 on the row corresponding to 0 goal.  
  • Next, 4 players scored 1 goal each, so we enter 4 on the row corresponding to 1 goal.

Your screen should look like this:

Entering the first few frequencies

Entering the first few frequencies

Fill up for the remaining entries in the same manner. The table in your calculator should resemble the following table.

X FREQ
0 5
1 4
2 3
3 2
4 2
5 1
16 1
18 1
30 1

 

Step 2(d)

  • Press AC to get back to the main screen

Step 3: Calculating Mean and Standard Deviation

Step 3(a)

  • Press SHIFT followed by 1
  • We will get to the following screen:
Statistics screen

 

  • Press 4 to select 4: Var
  • We obtain the following screen:
Final selection screen

Final selection screen

To obtain total number of samples or total frequency:

  • From step 3(a), press 1 followed by =
Total samples

Total samples

To obtain mean:

  • From step 3(a), press 2 followed by =
Mean

Mean

To obtain standard deviation:

  • From step 3(a), press 3 followed by =
Standard deviation

Standard deviation

 

Once done, press MODE followed by 1 to switch back to normal operation.


Practice Question & Closing Thoughts

Here's another question for you to practice.  (The full question can be found here.)

The following table shows the summarised score for a particular class in a Mathematics test.

Marks Mid-value Frequency
1-10 5.5 5
11-20 15.5 10
21-30 25.5 5
31-40 35.5 18
41-50 45.5 2

Calculate the mean and standard deviation.

Ans: Mean = 26, Standard Deviation = 11.8 (3 s.f.)

 

At this point, I hope you are able to calculate both mean and standard deviation by your calculator.

Remember, use this method to check your answer! You still have to show workings in order to score full marks.

Let me know in the comments if you have questions or need instructions for other calculators!