Math Problem Statement

1 Mean = 12

2 Median = 11.5

3 Mode = 8

4 Range = 18

5 Coefficient of variation = 41.67%

6 Z18 = 1.2

Solution

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Measures of Central Tendency
Statistical Variation
Z-Scores

Formulas

Mean = (Sum of all data points) / (Number of data points)
Median: The middle value in an ordered data set
Mode: The most frequent value in a data set
Range = Maximum value - Minimum value
Coefficient of Variation = (Standard Deviation / Mean) * 100
Z-Score = (Data point - Mean) / Standard Deviation

Theorems

Empirical Rule
68-95-99.7 Rule

Suitable Grade Level

Grades 10-12