Math Problem Statement
67, 88, 95, 76, 56, 40, 99, 93, 48, 87, 77, 59, 100, 65, 83, 79, 61, 92, 89, 90, 54, 73, 84, 80, 60, 96, 89, 76, 54, 60, 65, 88, 85, 77, 82, 43, 75, 70, 69, 80, 50, 78, 80, 81, 79, 61, 80, 86, 90, 49, 87, 40, 90, 89, 76, 75 Find mean, median and mode
Solution
numpy as np from scipy import stats
Data
data = [ 67, 88, 95, 76, 56, 40, 99, 93, 48, 87, 77, 59, 100, 65, 83, 79, 61, 92, 89, 90, 54, 73, 84, 80, 60, 96, 89, 76, 54, 60, 65, 88, 85, 77, 82, 43, 75, 70, 69, 80, 50, 78, 80, 81, 79, 61, 80, 86, 90, 49, 87, 40, 90, 89, 76, 75 ]
Calculations
mean = np.mean(data) median = np.median(data) mode = stats.mode(data)
mean, median, mode.mode[0]The statistical measures for the given data are as follows:
- Mean: 74.91 (approximately)
- Median: 78.5
- Mode: 80
Do you want a detailed explanation or further assistance? Here are related questions for deeper exploration:
- How can the mode be used in analyzing frequency distributions?
- What is the difference between mean, median, and mode in terms of data representation?
- How do outliers affect the mean and median differently?
- What is the significance of the mode when there are multiple modes?
- How would removing a value from this dataset affect the mean, median, and mode?
Tip: Always visualize your data using a histogram or boxplot to better understand the distribution and spot outliers.
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Measures of Central Tendency
Formulas
Mean = Sum of all data points / Number of data points
Median = Middle value of the ordered dataset
Mode = Most frequently occurring value in the dataset
Theorems
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Suitable Grade Level
Grades 6-8
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