Statistics : Sampling Distributions I - Deepstash

Keep reading for FREE

Factors that influence sampling distribution

Factors that influence sampling distribution

The number observed in a population: The symbol for this variable is "N." It is the measure of observed activity in a given group of data.

The number observed in the sample: The symbol for this variable is "n." It is the measure of observed activity in a random sample of data that is part of the larger grouping.

The method of choosing the sample: How you chose the samples can account for variability in some cases.


71 reads

Types of distributions

Types of distributions

1. Sampling distribution of mean

2. Sampling distribution of proportion

3. T-distribution


73 reads

1. Sampling distribution of mean

1. Sampling distribution of mean

 It focuses on calculating the mean of every sample group chosen from the population and plotting the data points. 

The graph shows a normal distribution where the center is the mean of the sampling distribution, which represents the mean of the entire population.


46 reads

2. Sampling distribution of proportion

2. Sampling distribution of proportion

his sampling distribution focuses on proportions in a population. You select samples and calculate their proportions.

The means of the sample proportions from each group represent the proportion of the entire population


42 reads

3. T-distribution

3. T-distribution

Distribution that involves a small population or one where you don't know much about it.

It is used to estimate the mean of the population and other statistics such as confidence intervals, statistical differences and linear regression. 

The T-distribution uses a t-score to evaluate data that wouldn't be appropriate for a normal distribution.


29 reads



T score us used in 1 tailed or 2 tailed |  Confidence interval.


  • Population standard deviation is not given 
  • n

Then calculate Upper Bound and lower bound.


30 reads

Central Limit Theorem

Central Limit Theorem

The sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough.

Multiple samples, n>= 30.

Sample mean is populated in pdf.

And then creates Normal distribution.


30 reads


39 reads


The probability of an event based on data from a small group within a large population. Its primary purpose is to establish representative results of small samples of a comparatively larger population.


Explore the World’s

Best Ideas

200,000+ ideas on pretty much any topic. Created by the smartest people around & well-organized so you can explore at will.

An Idea for Everything

Explore the biggest library of insights. And we've infused it with powerful filtering tools so you can easily find what you need.

Knowledge Library

Powerful Saving & Organizational Tools

Save ideas for later reading, for personalized stashes, or for remembering it later.

# Personal Growth

Take Your Ideas


Organize your ideas & listen on the go. And with Pro, there are no limits.

Listen on the go

Just press play and we take care of the words.

Never worry about spotty connections

No Internet access? No problem. Within the mobile app, all your ideas are available, even when offline.

Get Organized with Stashes

Ideas for your next work project? Quotes that inspire you? Put them in the right place so you never lose them.


2 Million Stashers


5,740 Reviews

App Store


72,690 Reviews

Google Play


Don’t look further if you love learning new things. A refreshing concept that provides quick ideas for busy thought leaders.

Shankul Varada

Best app ever! You heard it right. This app has helped me get back on my quest to get things done while equipping myself with knowledge everyday.

Sean Green

Great interesting short snippets of informative articles. Highly recommended to anyone who loves information and lacks patience.

Ashley Anthony

This app is LOADED with RELEVANT, HELPFUL, AND EDUCATIONAL material. It is creatively intellectual, yet minimal enough to not overstimulate and create a learning block. I am exceptionally impressed with this app!

Jamyson Haug

Great for quick bits of information and interesting ideas around whatever topics you are interested in. Visually, it looks great as well.

Ghazala Begum

Even five minutes a day will improve your thinking. I've come across new ideas and learnt to improve existing ways to become more motivated, confident and happier.

Laetitia Berton

I have only been using it for a few days now, but I have found answers to questions I had never consciously formulated, or to problems I face everyday at work or at home. I wish I had found this earlier, highly recommended!

Giovanna Scalzone

Brilliant. It feels fresh and encouraging. So many interesting pieces of information that are just enough to absorb and apply. So happy I found this.

Read & Learn

20x Faster





Access to 200,000+ ideas

Access to the mobile app

Unlimited idea saving & library

Unlimited history

Unlimited listening to ideas

Downloading & offline access

Personalized recommendations

Supercharge your mind with one idea per day

Enter your email and spend 1 minute every day to learn something new.


I agree to receive email updates