Math Problem Statement
You've been elected to the board, and to gather some information, you send out a survey to all residents about how often they think the board should meet each quarter. You get the following 60 responses: 3 2 1 2 3 2 3 2 4 1 1 3 4 3 4 3 3 2 1 1 4 3 4 4 1 4 4 4 2 3 2 3 3 3 3 3 4 4 1 3 1 1 3 1 3 1 1 3 1 2 2 1 1 1 2 2 2 2 3 4 Mean (¯¯¯X) = Round your answer to 2 decimal places as needed. Standard deviation (S) = Round your answer to 2 decimal places as needed. c) Determine the range of variation: (¯¯¯X−S,¯¯¯X+S) = Round your answers to 2 decimal places as needed. d) Calculate what percent of the data values are within one standard deviation of the mean. Hint: Create a histogram on paper and shade the included region(s) on your histogram to help visualize the shaded area and help with calculations. Total area of shaded region = Round your answer to 2 decimal places as needed. Percent of area within one standard deviation = Round your answer to 2 decimal places as needed.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Standard Deviation
Range of Variation
Formulas
Mean (X̄) = Σx / n
Standard Deviation (S) = sqrt[Σ(x - X̄)^2 / (n-1)]
Range of Variation = (X̄ - S, X̄ + S)
Theorems
Empirical Rule (68-95-99.7 Rule)
Suitable Grade Level
Grades 9-12
Related Recommendation
Calculate Mean, Median, Mode, Variance, and Standard Deviation for Population Data
Mean, Median, and Standard Deviation of Exam Scores for 30 Students
Statistical Analysis of Data Set: Find Mean, Median, Range, and Standard Deviation
Statistical Measures of Temperature Data: Mean, Median, Mode, Range, and Variance
Statistical Analysis: Mean, Median, Mode, Variance, and Standard Deviation