Calculate Standard Deviation ANALYZE THE SPREAD OF DATA

Calculate Standard Deviation ANALYZE THE SPREAD OF DATA.

Focus 6 Learning Goal – (HS. S-ID. A. 1, HS. S-ID. A. 2, HS. S-ID. A. 3, HS. S-ID. B. 5) = Students will summarize, represent and interpret data on a single count or measurement variable. 4 3 2 1 0 In addition to level 3. 0 and above and beyond what was taught in class, the student may: · Make connection with other concepts in math · Make connection with other content areas. The student will summarize, represent, and interpret data on a single count or measurement variable. - Comparing data includes analyzing center of data (mean/median), interquartile range, shape distribution of a graph, standard deviation and the effect of outliers on the data set. - Read, interpret and write summaries of two-way frequency tables which includes calculating joint, marginal and relative frequencies. The student will be able to: - Make dot plots, histograms, box plots and two-way frequency tables. - Calculate standard deviation. - Identify normal distribution of data (bell curve) and convey what it means. With help from the teacher, the student has partial success with summarizing and interpreting data displayed in a dot plot, histogram, box plot or frequency table. Even with help, the student has no success understanding statistical data.

Standard Deviation is a measure of how spread out numbers are in a data set. It is denoted by σ (sigma). Mean and standard deviation are most frequently used when the distribution of data follows a bell curve (normal distribution).

Formula for Standard Deviation

Calculate the standard deviation of the data set: 60, 56, 58, 60, 61

Measures of Deviation Practice (Each student needs a copy of the activity. )

Measures of Deviation Practice (35 – 60. 71) = -25. 71 661. 00 (50 – 60. 71) = -10. 71 114. 70 (60 – 60. 71) = -0. 71 0. 50 (75 – 60. 71) = 14. 29 204. 20 (65 – 60. 71) = 4. 29 18. 40 (80 – 60. 71) = 19. 29 372. 10 1, 371. 40

Measures of Deviation Practice Explain what the mean and standard deviation mean in the context of the problem. A typical phone at the electronics store costs about $60. 71. However, 68% of the phones will be $15. 12 lower and higher than that price. ($45. 59 – $75. 83)