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Posted on Nov 06, 2009
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How do i find the variance if i'm given the x

How do I input x-values and their probabilities on my calculator to find the mean and variance?

1 Answer

k24674

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  • Casio Master 8,093 Answers
  • Posted on Nov 06, 2009
k24674
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Joined: Aug 17, 2009
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Hello,
Set the [Mode] to [3:STAT]. You are offered the choices
1:1-Var
2:A+BX
3:__+cX^2
etc.
If you want to do 1-Var statistics, you press 1:1-Var. A column template opens where you put the X values. If a value is repeated you enter it several times. (there is no frequency column.)
When you enter all data you press [SHIFT][STAT]

You have several choices among them
4: SUM to get SigmaX^2 and Sigma X
5: VAR to get n, the mean X bar, the sample and population standard deviations
6:MINIMAX to get MinX and MaxX
7: Distr the Distributions.

If you want to perform 2-Var statistics
You press [MODE][STAT] and select one of the Regression models
2:A+BX
3:__+cX^2
etc.
The selection of any of the 7 regression models, opens a two-column template where you enter the X and Y values
When finished press [SHIFT][STAT]
The choices offered are

  1. Type takes you back to select type of statistics to perform
  2. Data To edit the data in the columns
  3. Edit To insert or delete a value
  4. SUM To access the calculated values of SigX^2,SigX,SigY^2,SigY,SigXY,SigX^3, SigX^2Y, SigX^4
  5. Var : To access the calculated values n, Xbar, Sample STD for x, S STD for Y, Pop STD for X, and Pop STD for Y
  6. MinMax : MinX, MinY, MaxX, MaxY
  7. Reg: Gives you the regression coefficients for the particular regression model you want to test.
The mean is represented by X bar.
The variance is the SQUARE of the Standard Deviation.
Hope it helps.

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Calculation of Poisson distribution

First, the Poisson Distribution describes events which have a small probability of occurrence at any very precise single value, like 3.546732190, but which nonetheless occur very very frequently in a range of values. Also the mean or average or expected value are the same as the variance, in your case, three (I think you meant three).

So looking up the tables for this (or plugging it in Excel) the prob x=4 exactly is 0.1680
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When i put in a solution i get this err :syntax

This typically means that something you're inputted didn't follow what the calculator expected for a given input. This can happen if you put something in like "6++5" -- the calculator doesn't expect another function sign after "+", it expects something that has numerical value like a variable or an actual number! You can fix this by hitting [2] on the error screen, which will take you to the place where the calculator stumbled on the problem. From there, you can doublecheck what you typed in and try it again.
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Hello. I just wanted to ask you how do I calculate the variance and standard deviation in my cfx9850GB plus. I had a quick look at the manual but I couldnt find the info. thankz .

This shows you how to enter your data and calculate some statistical values. Keep in mind that the variance is the square of the standard deviation.


In the main menu select [STAT] icon to enter Stat mode and display the statistical data lists. Use the statistical data lists to input data and perform statistical calculations. Use the arrows to move the highlighting around the lists.
Example: Enter the following values in List 1
1st line enter 90 [EXE]
2nd line 85 [EXE]
3 79 [EXE]
4 75 [EXE]
5 70 [EXE]
6 68 [EXE]
7 56 [EXE]

When finished you press [F2:Calc], then [F1:1Var] and the statistical results appear on screen.

Title of screen : 1-Variable
x bar =74.7142857
Capital Sigma x= 523
Capita Sigma X squared = 39851
x lower case sigma n = 10.5249945
x lower case sigma n-1= 11.3682934
n = 7
Scroll down with Down arrow to access other data
minX =56
Q1=68
Med =75
Q3=85
Xbar -x lower case sigma n =64.1892911
x bar x lower case sigma n = 85.2392802
maxX=90
Mod=90

All you have to do now, is to look at the theory you learned and interpret what these values mean.

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How do i use this calculator (casio CFX 9850)to find the variance

Part A shows you how to enter your data and calculate some statistical values. Keep in mind that the variance is the square of the standard deviation.

You can safely ignore the PART about REGRESSIONs until that time you need the information.

PART A
In the main menu select [STAT] icon to enter Stat mode and display the statistical data lists. Use the satistical data lists to input data and perform statistical calculations. Use the arrows to move the highlighting around the lists.
Exemple: Enter the following values in List 1
1st line enter 90 [EXE]
2nd line 85 [EXE]
3 79 [EXE]
4 75 [EXE]
5 70 [EXE]
6 68 [EXE]
7 56 [EXE]

When finished you press [F2:Calc], then [F1:1Var] and the statistical results appear on screen.
Title of screen : 1-Variable
x bar =74.7142857
Capital Sigma x= 523
Capita Sigma X squared = 39851
x lower case sigma n = 10.5249945
x lower case sigma n-1= 11.3682934
n = 7
Scroll down with Down arrow to access other data
minX =56
Q1=68
Med =75
Q3=85
Xbar -x lower case sigma n =64.1892911
x bar + x lower case sigma n = 85.2392802
maxX=90
Mod=90

All you have to do now, is to look at the theory you learned and interpret what these values mean.


PART B
  1. Once you enter your data [MENU][STAT],
  2. press [F1:Graph],
  3. select Gph1, Gph2, or Gph3.
  4. Once the graph of the experimental data is drawn, you will have access to the diverse regression models.
  5. Your choices are
  • [X:Linear]
  • [Med-Med],
  • [Quadratic :X^2]
  • [Cubic;X^3]
  • [Quartic: X^2].
  • Press [F6] to scroll right to access the others:
  • [Logarithmic:LOG],
  • [Exponential :EXP],
  • [Power :Pwr] and
  • [Sinusoidal:Sin]
  1. After you select a model and press [EXE], the screen displays the equation and its various coefficients.
  2. On that same screen, you have a menu option [F6:Draw].
  3. If you select it, the regression curve will be drawn on the same screen as your statistical graph.
  4. This allows you to judge if the fit is good. If it is not, you have the option to choose another model.
  5. The other option [F5:Copy] allows you to save the regression equation in the Y1, Y2, etc. variables.
11helpful
2answers

Calculate Variance on Casio FX-83ES Calculator

Hello,
I am happy that you found my solution helpful and even flattered that you copied it in this thread. By doing this, you gave me the opportunity to discover an error in my post. In fact, the calculator does provide a column for the frequency. If you enter nothing in the frequency column, all data items will have their frequency set to 1, by default.

Back to the current subject: How to get the variance (the square of the standard deviation).
When you finish entering your data:
  1. Press the [AC] button to exit the data editor.
  2. Press [****][STAT].
  3. Press [5:Var] to open the statistical result selection screen.
  4. Press [3: xSigma_n] or [4:xSigma_n -1] depending on what you are interested in (population or sample) standard deviation.
  5. The screen echoes the symbol for the value selected (the value displayed on the bottom line may be 0 or an old value from a previous calculation: it is not the value you have just calculated).
  6. Press [=] to display the current value of the SD chosen.
  7. By doing this you are in fact storing it it answer memory.
  8. All you have to do now is to raise it to power 2 by pressing the [x^2] key ( the one above the [HYP] key).
  9. The calculator will display Ans^2.
  10. Press [=] to display the value of the variance.
If you are not interested in the value of the standard deviation, but just want the variance, follow the foregoing procedure until step #5.
While the symbol xSigma_n or xSigma_n-1 is still displayed with the blinking cursor to its right, press the [x^2] key above the [HYP] key. The screen displays say xSigma_n ^2. Press [=] to calculate the variance.

As my motto says, I am always happy to help, but happier still when people show true appreciation.

Hope it helps.
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1answer

Error 23 stat

Quoting from page B-7 of the Guidebook:

-----
You are attempting a stat calculation with lists that are not appropriate; for example, you are requesting a statistical analysis with fewer than two statistical data points. The frequency (y value) for a 1-VAR analysis must be an integer >= 0.
------

If you simply want 1-variable statistics for two sets of data, you'll have to calculate them separately.
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I am java beginner and I want a help in writing a java program to calculate the variance for an array of numbers

the best thing to do here is to separate the steps for calculating the variance into different functions. To compute the variance the first thing to do is to compute the mean or the average of the numbers in the array. so your first function will loop through each of the numbers and divide it by the length of your array. the output is the returned. The next thing to do is create another function for the variance. loop through each of the numbers again and subtract to each number the mean. square the value then add to the previous. so that means you have another variable that starts from zero and just adds the answer. after that divide it by the length of the array again and what you are going to get is the value for the variance.

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How to compute standard deviation given a set of numbers?

  1. Calculator must be in SD mode (standard deviation mode) :Press [MODE] [.]
  2. However, if [FIX] or [SCI] appears on display you must press [MODE][9] first.
  3. Data input always starts with [SHIFT][SAC], to clear the registers of old data.
  4. Type a number and press the [DATA] key, it is the [M+] key at the bottom right of keypad.
After you finish entering the data

Press [SHIFT] [9] (sigma n-1) to get sample standard deviation
Press [SHIFT][8] (sigma n] for the population standard deviation
Press [SHIFT] [7] (xbar) for the mean
Press [SHIFT] [6] (n) for the number of data entries
Press [SHIFT] [5] (capital sigma x) for the sum of values
Press [SHIFT] [4] (capital sigma x to y) for the sum of squares of the values

For additional information you might consider taking a look at the calculator manual
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Standard deviation

standard deviation

calculate mean of a data set:

1. Turn calc. on or press MODE SeTUP
2.Press 3 for STAT
3. Press 1 for VAR
4.Enter values for X column
5. WHen done entering press SHIFT 1
6.Press 5
7.Press 2 to calculate the mean
8.Press =
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Mean (x-bar), variance (s^2) and standard deviation (s)

Enter 1 then press the (SIGMA)+ button (SIGMA) looks like a sideways capital M ....its a Greek letter.

Then enter 2 and press the (SIGMA)+ button
Then enter the next value and press the (SIGMA)+ button

After you press the (SIGMA)+ button the calculator displays the number of numbers you have entered

Once all numbers of your sample have been entered press 2nd and the button corresponding to x-bar

sample st. dev is the (sigma)n-1 button (need to use 2nd button)
variance is (std. dev.)^2

population st. dev is the (sigma)n-1 button (need to use 2nd button)
variance is (std. dev.)^2
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