Learn Before
Median
The median is a measure of central tendency that identifies the exact middle score of a distribution when all values are arranged from lowest to highest. It divides the distribution perfectly in half, meaning that of the scores are less than the median and are greater. If a distribution contains an even number of scores, the median is calculated as the value exactly halfway between the two middlemost scores.
0
1
Tags
Ch.2 Psychological Research - Psychology @ OpenStax
Psychology @ OpenStax
Introduction to Psychology @ OpenStax Course
OpenStax
OpenStax Psychology (2nd ed.) Textbook
Psychology
Social Science
Empirical Science
Science
KPU
Research Methods in Psychology - 4th American Edition @ KPU
Related
Interpreting a 'Typical' Value
A developmental psychologist studies the number of words spoken in a day by a group of 20 toddlers. The data shows a wide variation, with some toddlers speaking very few words and others speaking many. The psychologist wants to calculate a single value to best represent the 'typical' number of words spoken by a toddler in this group. What is the primary justification for this statistical approach?
Median
Mode
Mean
In psychological research, what is the primary purpose of using measures of central tendency?
A psychology researcher collects quiz scores from a sample of students and wants to summarize the data. Match each measure of central tendency with the statement that best describes what it represents.
A clinical researcher measures the level of anxiety in a small group of students using a standardized scale. The resulting scores are: 5, 7, 7, 8, and 43. True or False: In this specific distribution, the mean would be a more representative measure of the typical anxiety level than the median.
A researcher is analyzing a dataset of reaction times that contains several extreme outliers at the high end of the scale (a positive skew). Arrange the following measures of central tendency in order, starting with the measure that is the MOST robust (least changed by outliers) and ending with the measure that is the MOST sensitive to these extreme scores.
True or False: Measures of central tendency are descriptive statistics used to describe the typical, average, or center scores within a distribution.
A psychology researcher measures the number of trials participants require to complete a spatial learning task. To summarize the dataset, the researcher calculates the mean, median, and mode of these learning scores. Conceptually, which of the following statements best explains what these three descriptive statistics collectively represent?
A researcher studying household stress levels finds that most families report moderate stress, but two families reported extreme crisis-level scores that significantly inflated the average. To provide the most valid and representative typical score for this skewed dataset, the researcher should select the _____ as the measure of central tendency.
A psychology researcher is summarizing the test scores of a sample of participants. To describe the characteristics of this distribution precisely, they plan to apply different statistical concepts. Match each concept the researcher might use with the statement that best describes its role or definition in their data analysis.
A cognitive psychologist analyzes a distribution of reaction times and identifies the middle point around which the scores cluster. By focusing on this cluster point to describe the typical score of the sample, the psychologist is analyzing the distribution's _____.
A researcher is evaluating how to organize a report on a study's dataset. To present the statistical information logically, they decide to structure the description hierarchically. Arrange the following concepts in order from the most general category (1) to the most specific measures (3).
Learn After
Example of Finding the Median
Sensitivity of the Mean to Outliers
What does the median represent in a distribution of scores?
A psychologist is analyzing the number of words recalled by a group of participants in a memory study. Arrange the steps below in the correct order to determine the median value of these recall scores.
A psychologist is evaluating how modifications to a dataset of reaction times (measured in milliseconds) affect the median. Match each potential data change to its specific analytical impact on the median value.
A psychologist studying cognitive test scores finds that most participants score near 50, but one participant scores 0 due to a computer error. The psychologist’s decision to report the median as the representative value is methodologically sound because the median’s focus on the middlemost position prevents this extreme score from distorting the perceived typical performance of the group.
A psychology researcher is designing a set of hypothetical results for a textbook to illustrate how the median remains stable despite extreme outliers. They need to construct a dataset of reaction times (measured in milliseconds) that satisfies two specific design criteria: (1) the median must be exactly , and (2) the mean must be at least to demonstrate a significant positive skew. Which of the following datasets correctly assembles these parameters?
Example of Calculating the Median
For any distribution of scores, the median must always be one of the actual observed scores present in the original dataset.
A psychological researcher is analyzing different sets of participant scores. Match each dataset scenario with the correct rule or property used to identify or describe its median.
A researcher measures the reaction times (in seconds) of six participants completing a cognitive task. The recorded times are: 14, 8, 21, 10, 18, and 12. The median reaction time for this group of participants is _____.
A psychology researcher analyses a set of reaction times and observes that the median is a value that does not equal any of the actual observed scores in the dataset. By analyzing this outcome, the researcher can deduce that the dataset contains a(n) _____ number of scores.
A researcher is determining the most appropriate measure of central tendency to report for a dataset of cognitive processing times. Arrange the steps in the correct order to evaluate the data properties and select the representative metric.