Find the standard deviation for the group of data items. Stems Leaves 0 877858 3302 1 The standard deviation is - (Round to two decimal places as needed.)
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.
![**Stem-and-Leaf Plot for Calculating Standard Deviation**
To find the standard deviation for the group of data items, we begin with the stem-and-leaf plot provided:
- **Stems** | **Leaves**
- -----------|------------
- 0 | 8 7 7 8 5 8
- 1 | 3 3 0 2
**Explanation of the Stem-and-Leaf Plot:**
- **Stems** represent the tens place of the data values.
- **Leaves** represent the units place of the data values.
**Data Items Derived from the Plot:**
- From stem 0: the data items are 8, 7, 7, 8, 5, 8.
- From stem 1: the data items are 13, 13, 10, 12.
**Steps to Calculate Standard Deviation:**
1. **List all data points**: 8, 7, 7, 8, 5, 8, 13, 13, 10, 12.
2. **Calculate the mean** of the data points.
3. **Find the variance** by averaging the squared differences from the mean.
4. **Take the square root** of the variance to obtain the standard deviation.
Note: Ensure to round the final standard deviation to two decimal places as needed.
- **Standard Deviation Calculation** is facilitated through the interactive element: [ ] (Round to two decimal places as needed.)
This section guides users through the process of interpreting a stem-and-leaf plot and computing the standard deviation, essential for statistical analysis in various educational contexts.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb035bd8-242a-4bd8-91c3-9303fe022dfd%2Fd166bd29-d7bd-4bf9-81fd-75509bc49529%2Fn2147d_processed.jpeg&w=3840&q=75)
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