1. Data Analysis

2. 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)

3. Measurements of Central Tendency Data Set: 2 red, 3 blue, 1 green, 2 yellow, 2 black Frequency Histogram - 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 red blue green yellow black 321321

4. Create a frequency distribution from the data in column A of the spreadsheet “Data Set D”. Use a class interval of 1. Class Example

5. 0 2 4 6 8 10 12 14 16 01234567891011 Histogram of X1: Data Set D Count

6. Calculate the mean of the 500 numbers found in column A of “Data Set C”. You may use any function except the “AVERAGE” function. Class Example

7. 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”.

8. 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”.

9. Measurements of Dispersion Data Set: Range: highest and lowest values Variance: s = Standard Deviation: the square root of variance Student A B C D E F G Exam I 90 95 85 90 85 90 95 Exam II 100 80 70 85 95 100 100 2 x – 2  x) 2  n n – 1

14. Calculate the standard deviation of the following data set. 3, 7, 2, 8, 4, 6, 2, 8, 1, 0, 4, 6, 2, 8, 9

15. 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

16. Calculate the mean, median, mode, range, standard deviation, standard error and variance of the data shown in column A of “Data Set D”. Class Example