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Basic Question 2 of 20
A sample of the salaries of 4 employees from a large company was taken. The following are their salaries (in thousands of dollars) for this year: 33, 31, 24, 36. The variance of their salaries is ______.
User Contributed Comments 18
| User | Comment |
|---|---|
| kaliokale | This is the sample variance not the population variance |
| willeen | what number is m in the explanation above? thanks! F |
| Cooltallgal | m is 4 in this case as it stands for the 4 employee's salaries. |
| bwbarksdale | remember that the sample variance divides by "1" less than the population variance in order to achieve an "unbiased" measure of dispersion. |
| janetse | What are the steps in BAII? |
| JimM | Steps in BAII: 1) 2nd - DATA 2) enter the four data points as X values, leaving Y values alone (defaults to 1.0000) 3) 2nd - STAT 4) down arrow to read Sx (5.0990) 5) Variance is square of Sx, so hit x^2 button (26.0000) |
| albert2008 | Thanks for the calc instructions!!! |
| JanLani | Yeah, the calculator trick is greatly appreciated. |
| morek | Anyone know instructions for HP12C? Thanks. |
| czim | HP12c ; enter the data values using E+ in the stats function. Then key g s Enter to give you the standard deviation of the sample. simply square this to get sample variance. |
| tschorsch | for HP12c f Σ i.e. f SST clears stat data 33 Σ+ 31 Σ+ 24 Σ+ 36 Σ+ g s i.e g . g x² or enter x |
| DonAnd | Thanks for the steps using BA11. These are one set of formulas that I made sure that I knew well so I just use the formula but the calculator steps will definitely save me some time. |
| harpalani | Guys, can someone please explain the logic of reducing 1 from number of samples for calculating sample variance. How does the sample variance become biased when sample size is not reduced by 1? |
| ThomasDess | Steps in BAII' - cf JimM post 3) 2nd - Stat 3') 2nd - SET - press repeatedley until the CALCULATION METHOD you want is displayed; for one-variable data set 1-V; !! - for this case we would find the same results for Sx for Lin and Exp methods but not for Ln and PWR 4) down arrow to read Sx etc |
| 2014 | Thanks Jim |
| bidisha | wow thanks jim |
| Shaan23 | Stop using calculators...you dont understand anything and its fast without it...just find the average of the numbers 31+33+24+36/4 = 31 now just use each value and subtract the mean and square it -- Just use your head...for the first value 0 then second 2^2=4 then 7^2 =49 and 5^2 = 25....then 0 + 4 + 49 + 35 = 78 divide that by 3.... only section you need to ever use the calculator is time value calculations and stuff... |
| Kennyk11 | Man, need to be careful with that N - 1 denominator, always gets me.... :p |
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Learning Outcome Statements
calculate, interpret, and evaluate measures of dispersion to address an investment problem
CFA® 2024 Level I Curriculum, Volume 1, Module 3.