Question

Problem. A sample of 77 individuals working at a particular office was selected and the noise level (dBA, decibel) experienced by each individual was determined, yielding the following data 55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.1 56.1 56.1 56.8 56.8 57.0 57.0 57.0 57.8 57.8 57.8 57.9 57.9 57.9 58.8 58.858.8 59.8 59.8 59.8 62.2 62.2 63.8 D63.8 63.8 63.9 63.9 63.9 64.7 64.7 64.7 65.1 65.1 65.1 65.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.7 68.7 68.7 69.0 70.4 70.4 71.2 71.2 71.2 73.0 73.0 73.1 73.1 74.6 74.6 74.6 74.6 79.3 79.3 79.3 79.3 83.0 83.0 83.0 Use various techniques to organize, summarize, and describe the data. Specifi- cally, using the R statistical package: a) Provide a graphical description of the data in terms of an histogram of the data; b) Provide a numerical description of the data in terms of its sample size (or, length) n, sample mean x, sample median x, sample variance s", and sample standard deviation s.

Answer 1

a)

Histogram of the given data

b) Descriptive statistics

Statistics

Variable	Total Count	Mean	StDev	Variance	Median
Noise levels	77	64.887	7.803	60.882	64.700