# Interpret descriptive statistics standard deviation confidence intervals

I need a clear explanation of Standard deviation and what to infer from it when trying to analyses a result. I know wat the medium, mode, and mean are but I am baffeled with the standard deviation I have bought book and gone to site to get an explanation but I have been left even more confused.

I ran a trial pilot survey with 3 questions (using a 11 point Likert rating scale of -5 to 0 to +5) to a sample of 24 people and put my data into excel I got my descriptive stats but I just dont know what the other data is telling me:Standard Error, Standard Deviation, Sample Variance, Kurtosis, Skewness in relation to the data in my desceiptive stats window. Is standard deviation and confidence intervals supposed to allow you to make inferences?? How can I tell how much on avarage the respondants would rate eash question by looking at the standard deviation?? Plese see the attatched. I just need a clear explanations how to understand and work this all out. Kindest Regards to anyone who can assist.

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#### Solution Preview

Dear student,

<br> The statiscs plays a vital role in all the fields of studies. Because, whenever some study is done, to infer or interpret the results, we use the statistical analysis. Here I've explaine the meaning of the terms you asked for.

<br>

<br>STANDARD ERROR:

<br>The standard error of a statistic is the standard deviation of the sampling distribution of that statistic. Standard errors are important because they reflect how much sampling fluctuation a statistic will show.

<br>

<br>STANDARD DEVIATION (SD):

<br>First, look at the formula, given as,

<br>SD = [SUM{(X - <X>)^2}/N]^(1/2)

<br>

<br>where, X are the data points and <X> is the mean of given N data points.

<br>

<br>If you look at the formula, the SD is the measure of the deviation of the data from the mean value. Here, we take the difference of the data point and mean value, then we square it so that the difference becomes +ve only. We do the same process ...

#### Solution Summary

I need a clear explanation of Standard deviation and what to infer from it when trying to analyses a result. I know wat the medium, mode, and mean are but I am baffeled with the standard deviation I have bought book and gone to site to get an explanation but I have been left even more confused.

I ran a trial pilot survey with 3 questions (using a 11 point Likert rating scale of -5 to 0 to +5) to a sample of 24 people and put my data into excel I got my descriptive stats but I just dont know what the other data is telling me:Standard Error, Standard Deviation, Sample Variance, Kurtosis, Skewness in relation to the data in my desceiptive stats window. Is standard deviation and confidence intervals supposed to allow you to make inferences?? How can I tell how much on avarage the respondants would rate eash question by looking at the standard deviation?? Plese see the attatched. I just need a clear explanations how to understand and work this all out. Kindest Regards to anyone who can assist.