Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Using the Casio fx-82AU plus calculator.
Steps to find particular results.

 Use of the calculator is outlined below for: 1. Finding factors of any number. 2. Calculating the mean and standard deviation for ungrouped data. 3. Calculating the mean and standard deviation from grouped data AND calculating the correlation coefficient and regression statistics.

 Finding the factors of a given number: 1. Type in the number. 56 2. Press = 3. Press Shift then the (o ' ") button. 4. The factors are displayed. 23 × 7

 UNGROUPED DATA - Finding the mean and standard deviation. 1. To select STATISTICS. Press MODE then select 2 (STAT). 2 2-1. To select 1 variable: Press 1 for 1-VAR. 1 Display shows a column of numbers starting with 1 (that will count the entries you make). The second column is where you type the ungrouped data one entry at a time. Press = to store the value you enter or backspace to change. Repeat for each piece of data in your data set. e.g. 1= 4= 9= etc. 3. Complete the entry routine: Press AC. This action removes the data set from your display but it is still retained in memory. AC 4. Start the calculations: SHIFT then 1 1 Most common: To find the values for mean and standard deviation: Press 4 to obtain all of the basic descriptive statistics. On this menu you can instead of pressing 4: Press 2 if you want to check your data. Press 3 if you want the sum of the values you entered. 4 THEN Press 2= to obtain the mean; Press 3= to obtain the population standard deviation (σx); Press 4= to obtain the sample standard deviation (sx);

GROUPED DATA or TWO VARIABLES:
Finding descriptive statistics for a frequency distribution

OR correlation and regression values.

Variable 1 (X) is the data value in your frequency table or the values of the independent variable.

Variable 2 (Y) is the frequency or the values of the dependent variable.

1. Select STATISTICS. MODE then select 2 (STAT). 2
2-2: Select two variables Press 2 for
A + BX
2
Display shows a column of numbers starting with 1 (that will count the pairs of entries you make).

The second column is where you type the data value from the frequency table or for your first variable.

Press = to store the value you enter or backspace to change.

Repeat for each data value in your table.

Return to the top of the third column (Y) and enter the corresponding frequencies or the corresponding values for your second variable.

(Check your entries in the X and Y columns finish in the same row.

e.g. using the table:
 Midpoint of data interval (or 1st variable) Frequency (or 2nd variable) 3 6 8 10 13 12 18 7

3=

8=

13=

18=

In the Y column from the top:

6=

10=

12=

7=

3. Complete the entry routine: Press AC.

This action removes the data set from your display but it is still retained in memory.

AC
4. Start the calculations: SHIFT then 1 1
To find the values for mean and standard deviation: Press 4 to obtain all of the basic descriptive statistics.

4

Then press 2= to obtain the mean;
Press 3= to obtain the population standard deviation (σx);
Press 4= to obtain the sample standard deviation (sx);

Pressing 5=, 6= and 7= gives the corresponding values for the second variable or frequency

In this step, instead of pressing 4 you could:

Press 2 if you want to check your data.

Press 3 if you want the sum of the values you entered.

To find the correlation and regression values: Press 5

NOTE: if you need all values, you need to repeat the steps:

AC

Shift 1

5

then 1 or 2 or 3.

5

Then press 1= to obtain the intercept of the regression line;

Press 2= to obtain the slope of the regression line;

Press 3= to obtain the correlation coefficient.
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