# Standard Error of Mean {SE of x̄} for n = 1000 & σ = 6

Calculation summary & work with steps for n = 1000 & σ = 6 to estimate the standard error of sample *mean*. The below is the calculation summary for SE of x̄ for *sample size* n = 1000 using *population standard deviation* σ = 6.

Calculation Summary | |
---|---|

Population standard deviation (σ) | 6 |

Sample size (n) | 1000 |

Standard Error of mean (x̄) | 0.1897 |

## SE of x̄ Work with Steps for n = 1000 & σ = 6

The below is the work with step by step calculation shows how to estimate the standard deviation of sampling distribution of mean for sample size n = 1000 and population standard deviation σ = 6 to help grade school students to solve the similar SE of x̄ worksheet problems efficiently.

__Workout :__

step 1 Address the formula, input parameters and values

__Input parameters__

Population standard deviation σ= 6

Sampe size n= 1000

__Formula__

SE_{x̄} = σ√n

step 2 Apply the values in SE of mean formula

= 6√1000

= 6/31.6228

SE_{x̄} = 0.1897

0.1897 is the standard error of sample mean.