Math Problem Statement

Using your calculator, find the range and standard deviation, round to two decimals places:

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

52 67 49 75 80 71 37 23 40 76 52 34 38 28 75 48 22 24 56 60 32 44 98 14

Range =

Standard Deviation =

Solution

The range is 84, and the standard deviation is 21.41 (rounded to two decimal places).

Would you like any further details or explanations?

Here are 5 related questions to extend your understanding:

  1. How does the range help us understand the spread of the data?
  2. What does the standard deviation tell us about the variation in TV watching hours?
  3. How is the standard deviation calculated step-by-step?
  4. What is the difference between population and sample standard deviation?
  5. How might extreme values (outliers) affect both the range and standard deviation?

Tip: Range only considers the extreme values, while standard deviation uses all data points to measure variability.

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Math Problem Analysis

Mathematical Concepts

Statistics
Range
Standard Deviation

Formulas

Range = Maximum value - Minimum value
Standard Deviation = sqrt(Σ(xi - mean)² / n)

Theorems

Empirical Rule for Standard Deviation

Suitable Grade Level

Grades 9-12

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