- Statistics
- Why Study Statistics?
- Descriptive & Inferential Statistics
- Fundamental Elements of Statistics
- Quantitative and Qualitative Data
- Measurement Data Levels
- Collecting Data
- Ethics in Statistics
- Describing Qualitative Data
- Describing Quantitative Data
- Histograms
- Stem-and-Leaf Plots
- Measures of Central Tendency
- Measures of Variability
- Describing Data using the Mean and Standard Deviation
- Measures of Position
- Z-Scores

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- Inferential StatisticsToggle Dropdown

While the Boxplot and interquartile range measures position with the median. Another method is to measure position in relation to the mean using **z-scores**.

The The |

Example: Suppose a sample of 2000 high school seniors' verbal SAT scores is selected. The mean and standard deviation are \(\bar{x}=550,\,s=75\). A student scored 475. What is his sample z-score?

Solution:

\[z=\frac{x-\bar{x}}{s}=\frac{475-550}{75} = -1.0\]

This means that the student scored 1.0 standard deviations *below* the sample mean.

Statistics by Matthew Cheung. This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

- Last Updated: Apr 20, 2023 12:47 PM
- URL: https://libraryguides.centennialcollege.ca/c.php?g=717168
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