## Description

11000875: Statistics

Order Number:11000875

Topic: Statistics

Work type: Essay

No of pages/words: 4Pages/1100Words

Urgency: 3 Days

Academic level: University

Amount: 85.08

Style: APA

Preferred English: English(U.S)

No of sources: 3

Order description: Answer the following questions and write an essay (following the APA Style). 1. What are sampling distributions? 2. Define and provide examples of the three properties of the arithmetic mean: Bias, efficiency and consistency. 3. For sampling distribution, how important is the knowledge of the mean, standard deviation and standard error of the population? 4. What is the purpose of determine the normal distribution of the mean and the value Z?. 11000875: Statistics.

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Statistics

**What are sampling distributions?**

In a statistical data analysis, data is collected from a sample of the population that acts as a representative of the population. Analysis involves sampling distribution which is the probability distribution of the data that is obtained from a large number of samples collected from a particular population (Rosenthal & Rosenthal, 2011). This means that the sampling distribution of a population is the distribution of frequencies of different outcomes that has a probability of occurring for a statistic of a population. Simply, sampling distribution can be defined as the graph of a statistic drawn for a particular sample data. This graph can be drawn from range, variance of the sample, mean, and standard deviation of the sample among others. 11000875: Statistics.

**Define and provide examples of the three properties of the arithmetic mean: Bias, efficiency and consistency**

To understand the three properties of arithmetic mean, it is important to understand what arithmetic mean is. Ali and Bhaskar (2016) defined arithmetic mean as the mean of a set of numeric values that is calculated by adding all the numeric values and dividing by the number of terms in the set. The three properties of arithmetic mean are; bias, efficiency, and consistency……… 11000875: Statistics.

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