Compute the standard deviation for the following tiny data set. Round all values to 4 decimal places as needed. Data 2 3 4 1 7 Compute the mean. ¯x=x¯= Complete first column of the table below by subtracting the mean from each data value. Then complete the second column by squaring each of the differences and finding the sum of the differences. xx x−¯xx-x¯ (x−¯x)2(x-x¯)2 2 3 4 1 7 Sum Divide the sum of the differences obtained in the previous table by the sample size minus one. Then compute the square root of the qoutient to obtain the standard deviation. s =
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Compute the standard deviation. The formula for computing the standard deviation is given by
The process for computing the standard deviation can also be expressed in words using the following steps.
|
Compute the standard deviation for the following tiny data set. Round all values to 4 decimal places as needed.
| Data |
|---|
| 2 |
| 3 |
| 4 |
| 1 |
| 7 |
- Compute the mean.
¯x=x¯= - Complete first column of the table below by subtracting the mean from each data value. Then complete the second column by squaring each of the differences and finding the sum of the differences.
xx x−¯xx-x¯ (x−¯x)2(x-x¯)2 2 3 4 1 7 Sum - Divide the sum of the differences obtained in the previous table by the sample size minus one. Then compute the square root of the qoutient to obtain the standard deviation.
s =
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 16 images
