Math Problem Statement

The table below gives the number of hours spent watching TV last week by a sample of 24 children.

37 31 30 19 15 31 31 30 37 15 23 35 13 33 23 16 36 15 25 15 26 35 49 1

Compute each of the following summary statistics. Round your answers to the nearest tenth of an hour.

median = hours

IQR = hours

mean = hours

standard deviation = hours range = hours

Solution

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Math Problem Analysis

Mathematical Concepts

Descriptive Statistics
Measures of Central Tendency
Measures of Spread

Formulas

Median: Middle value of ordered data set
Interquartile Range (IQR): Q3 - Q1
Mean: Sum of values / Number of values
Standard Deviation: sqrt((Σ(xi - mean)^2) / N)
Range: Max value - Min value

Theorems

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Suitable Grade Level

Grades 9-12