Math Problem Statement
Students in an experimental psychology class did research on depression as a sign of stress. A test was administered to a sample of 30 students. The scores are given. Complete parts (a) through (c) below. 35 12 36 49 35 23 16 15 26 23
52 48 12 39 34 22 13 28 26 45 48 26 38 39 55 17 18 11 25 27 Question content area bottom Part 1 (a) Find the mean and median of the data. The mean is 27.931. (Round to three decimal places as needed.)
Solution
The mean of the data is approximately 29.767, and the median is 26.5.
Would you like details on how these were calculated, or do you have any other questions?
Here are 5 related questions for further exploration:
- How does the range of scores affect the overall variability in the data?
- What is the standard deviation of the sample, and what does it tell us about the data?
- Could an outlier in this dataset significantly affect the mean or median?
- How would the dataset change if we removed the highest or lowest score?
- What is the mode of this dataset, if applicable?
Tip: The median is often a better measure of central tendency for skewed data or when outliers are present.
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Formulas
Mean = (Sum of all data points) / (Number of data points)
Median: The middle value in an ordered data set
Theorems
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Suitable Grade Level
Grades 9-12