Table of Contents
- 1 What are some methods that could be used to determine whether a variable has a normal distribution?
- 2 What is the relationship between the mean and the median in a normally distributed population?
- 3 How do you determine if the data is normally distributed?
- 4 What does it mean if data is not normally distributed?
- 5 When mean median and mode lie in the Centre of the curve the distribution is known as?
- 6 How can Descriptive statistics be used to summarize data?
What are some methods that could be used to determine whether a variable has a normal distribution?
For quick and visual identification of a normal distribution, use a QQ plot if you have only one variable to look at and a Box Plot if you have many. Use a histogram if you need to present your results to a non-statistical public. As a statistical test to confirm your hypothesis, use the Shapiro Wilk test.
What is the relationship between the mean and the median in a normally distributed population?
The mean and median should be the same value. Explanation: A normal distrubtion is completely symmetrical and has not outliers. This means that the mean is not pulled to either side by outliers and should lie directly in the middle along with the median (the middle number of the distribution).
In which distribution the child means vary linearly with the value of the parent and the standard deviation is fixed?
Excel
| Data | |
|---|---|
| Mean | 32.27273 |
| Standard Error | 4.831884 |
| Median | 35 |
| Mode | 25 |
How do you determine if the data is normally distributed?
The most common graphical tool for assessing normality is the Q-Q plot. In these plots, the observed data is plotted against the expected quantiles of a normal distribution. It takes practice to read these plots. In theory, sampled data from a normal distribution would fall along the dotted line.
What does it mean if data is not normally distributed?
Collected data might not be normally distributed if it represents simply a subset of the total output a process produced. This can happen if data is collected and analyzed after sorting.
When the mean and median for a distribution are the same this could indicate that the distribution is _____?
In a perfectly symmetrical distribution, the mean and the median are the same. This example has one mode (unimodal), and the mode is the same as the mean and median. In a symmetrical distribution that has two modes (bimodal), the two modes would be different from the mean and median.
When mean median and mode lie in the Centre of the curve the distribution is known as?
symmetrical distribution
A symmetrical distribution occurs when the values of variables appear at regular frequencies and often the mean, median, and mode all occur at the same point. In graphical form, symmetrical distributions may appear as a normal distribution (i.e., bell curve).
How can Descriptive statistics be used to summarize data?
Interpret the key results for Descriptive Statistics
- Step 1: Describe the size of your sample.
- Step 2: Describe the center of your data.
- Step 3: Describe the spread of your data.
- Step 4: Assess the shape and spread of your data distribution.
- Compare data from different groups.