Data Analysis Data Analysis Statistics a powerful tool
- Slides: 16
Data Analysis
Data Analysis Statistics - a powerful tool for analyzing data 1. Descriptive Statistics - provide an overview of the attributes of a data set. These include measurements of central tendency (frequency histograms, mean, median, & mode) and dispersion (range, variance & standard deviation) 2. Inferential Statistics - provide measures of how well your data support your hypothesis and if your data are generalizable beyond what was tested (significance tests)
Measurements of Central Tendency Data Set: 2 red, 3 blue, 1 green, 2 yellow, 2 black Frequency Histogram - 3 2 1 red blue green yellow black Mean - sum of data divided by the number of data points Median - middlemost data point when data are arrayed in sequence (lowest to highest) Mode - most frequently occurring value
Class Example Create a frequency distribution from the data in column A of the spreadsheet “Data Set D”. Use a class interval of 1.
Histogram of X 1: Data Set D 16 14 12 Count 10 8 6 4 2 0 0 1 2 3 4 5 6 7 8 9 10 11
Class Example Calculate the mean of the 500 numbers found in column A of “Data Set C”. You may use any function except the “AVERAGE” function.
Determine the median of the following set of numbers: 4. 0, 2. 4, 6. 7, 3. 2, 6. 9, 5. 6, 3. 9, 5. 5 Class Example Determine the median of the 500 numbers found in column A of “Data Set C”.
Determine the mode of the following set of numbers: 3, 5, 2, 6, 5, 1, 7, 3, 8, 5, 8, 2, 9, 0, 3, Class Example Determine the mode of the 500 numbers found in column A of “Data Set C”.
Measurements of Dispersion Data Set: Student A B C D E F G Exam I 90 95 85 90 95 Exam II 100 80 70 85 95 100 Range: highest and lowest values Variance: s 2= x – 2 x) 2 n n– 1 Standard Deviation: the square root of variance Standard Error of the mean: sx = s √n
Calculate the standard deviation of the following data set. 3, 7, 2, 8, 4, 6, 2, 8, 1, 0, 4, 6, 2, 8, 9
Which of the following two sets of data show the greatest amount of dispersion around their mean? A: 2, 6, 1, 7, 3, 8, 4, 9, 10, 4, 5 B: 14, 65, 28, 70, 46, 52, 78, 38, 47, 34, 55
Class Example Calculate the mean, median, mode, range, standard deviation, standard error and variance of the data shown in column A of “Data Set D”.
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