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# Calculate true population mean and standard deviation from the following theoretical frequency distribution. X f --- --- 2 1 3 2 4 3 5 4 6 5 7 6 8 5 9 4 10 3 11 2 12 1

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Here are some tuts with the formulas to do it.

http://stattrek.com/Lesson4/Mean.aspx?Tutorial=Stat

once the mean is determined you can calculate the deviation

http://hubpages.com/hub/stddev

Posted on Apr 01, 2011

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Posted on Jan 02, 2017

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## Related Questions:

### How to calculate the standard deviation? casio power graphic fx-7400G Plus

Here are the capabilities of the Casio calculators.
The screen captures may not look like ones taken from the FX-7400G
plus display but the instructions are accurate.
In stat enter the values in List1 and the frequencies in List2 (if doing paired variable statistics)
Press the key corresponding to the CALC tab

Press the 1-var tab and you get the results as seen on the screen with title 1-variable.
Other screens show some two-variable stats or regressions.

Use you knowledge of sample standard deviations and
population standard deviation to select which is relevant to your case.
They are given by xsigma-n and xSigma n-1

Aug 15, 2011 | Casio FX-7400G Plus Calculator

### Which button do I use for the square root button? I have to perform math problems on... geometric mean population standard deviation sample standard deviation

The square root button is two up from the 9 key, just to the left of the divide key. To calculate the square root of 2, for example, press 2 square-root =

Jun 10, 2011 | Texas Instruments TI-30XA Calculator

### How to i do std deviation and sample mean

Example: Enter the following x variables, and determine the sample and population standard deviations.
x = {1,2,3}
• Press [DATA] and begin to enter the data as indicated into the L1, L2 or L3 lists. To input a data point, type the value and press [ENTER]. Press the down arrow key to move on to the next data point.
• Press [2nd], [STAT], and then choose 1-VAR.
• For the "DATA" option, choose the listname the data is stored in (L1, L2 or L3). For the "FRQ" option, choose "ONE" since this data does not include a frequency list.
• Arrow down to "CALC" and press [ENTER].

3:Sx (Sample Standard Deviation) = 1
4:sx (Population Standard Deviation) = 0.816497
• Press [2nd] [MODE] to exit STAT mode.

Oct 20, 2010 | Texas Instruments TI30XS Scientific...

### 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.

Dec 11, 2009 | Casio fx-300ES Calculator

### How do you enter frequencies for finding standard deviation? For example, Frequency=50, total of X or raw scores = 366.5. Summation of X squared =2836.39. What is standard deviation? How do you enter the...

Hello,
I am afraid I do not understand. The frequency of a PARTICULAR score is the number of times that particular value occurs in the data. It is not the number of data.
Ex: the data are:
4, 6, 5, 4, 4, 8, 9, 3, 3, 6, 7
Frequency of (3) =2
Frequency of (4)= 3
Frequency of (5) =1
Frequency of (6)= 2
Frequency of (7)=1
Frequency of (8)=1
Frequency of (9)=1

Number of data =11 (n=11)

You compute the mean M
M= (2x3 + 3x4 +1x5 +2x6+1x7+1x8+1x9) /11 =5.363636..
As you can see, if a term is not repeated it is multiplied by 1 (its frequency is one). Value 3 occurs twice (hence 2x3); value 4 occurs 3 times (3x4), etc.

To calculate by hand the sum of squares
3: (3-5.3636)^2 + (3-5.3636)^2 .................... = 2x(3-5.3636)^2
4: (4-5.3636)^2 + (4-5.3636)^2 +(4-5.3636)^2 = 3x(4-5.3636)^2
5: (5-5.3636)^2 ...................................... .= 1x(5-5.3636)^2
6: (6-5.3636)^2 +(6-5.3636)^2......................= 2x(6-5.3636)^2
7: (7-5.3636)^2.......................................... .=1x(7-5.3636)^2
8: (8-5.3636)^2......................................... ..=1x(8-5.3636)^2
9
: (9-5.3636)^2......................................... ..=1x(9-5.3636)^2
If I have not made a mistake the sum of squares is 40.5454

Standard Deviation

The standard formula above gives s= square root (40.5454/10) =2.01
Population Standard Deviation

The population Standard deviation above is S= square root (40.5454/11) =1.9198

So if you perform the calculation with the calculator the only times you need to enter the frequency is for repeated terms. When you have to enter 6 above, its frequency is 2 you proceed as follows
6 [2nd][FRQ] 2 [Sigma+]

Once you entered the raw scores, the calculator does the rest.
Hope it helps.

Nov 06, 2009 | Texas Instruments TI-30XA Calculator

### Question no. 2 For the 50 observation given below. Prepare Frequency Distribution for the the class interval is 10 (lower limit starting is 0) and upper limit is 80. Also plot in graphing. 64 62 52 50 70...

64 62 52 50 70 60 55 20 25 48 35 55 55 47 64 42 36 50 30 53 51 63 58 50 60 54 33 48 40 76 61 46 65 65 15 45 58 40 64 18 33 40 64 18 33 40 48 9 38 41

Highest value observed: 76
Lowest Value: 9
Standard deviation from the ungrouped data: 15.25
Frequency:
Mean: 46.94
Standard deviation from grouped data: 15.40

Oct 23, 2009 | Microsoft Excel for PC

### Standard Deviation

Press 2ND [CSR] to clear the stat data.

For each data point, enter the number followed by SIGMA+

If you have grouped data, enter the number followed by 2ND [FRQ] followed by the frequency then SIGMA+

Press 2ND [sigma x n] for the population standard deviation or 2ND [sigma x n-1] for the sample standard deviation.

May 25, 2009 | Texas Instruments TI-30X-IISTK Scientific...

### Standard Deviation

Texas Instruments TI-86 Statistics How-To Information The following instructions should allow you to calculate the mean and standard deviation using a TI-86 calculator.
1. Press STAT
2. Select EDIT
3. Enter data into a list: [2.32 ENTER 2.43 ENTER 2.39 ENTER, etc.] Continue until all data have been entered. (use arrows keys to go to the y value, if any)
4. EXIT until you reach the main ("blank") screen. (If you try to calculate while you're in the data menu, it thinks you're still trying to enter data!)
5. Press STAT
6. Select CALC
7. Select OneVa
8. Select LIST, NAMES, xStat(F2), Press ENTER
9. The calculator provides Max, Min, Mean, Standard Deviation, Sum, Sigma, etc. You will be primarily interested in the Mean and Standard Deviation (sx).

Nov 15, 2007 | Texas Instruments TI-86 Calculator

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