6H Cumulative Frequency Graphs, 6I Standard Deviation

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Presentation transcript:

6H Cumulative Frequency Graphs, 6I Standard Deviation Unit 2: Descriptive Statistics 6H, 6I 4/7/2019 1:48 PM

Cumulative Frequency The cumulative frequency is simply a running total of all the individual frequencies. Test Score Frequency Cumulative Frequency 93 2 87 5 7 76 3 10 75 6 16 72 12 28 68 31 6H, 6I 4/7/2019 1:48 PM

Cumulative Frequency Curve d 6H, 6I 4/7/2019 1:48 PM

Standard Deviation Copy a widely used measure of the spread (or “dispersal”), albeit non-resistant measures the deviation between data and the mean lowercase sigma: population’s standard deviation x: any score : mean n: total number of scores larger standard deviation data is more widely spread closer to zero data is less widely spread 6H, 6I 4/7/2019 1:48 PM

Notation 6H, 6I 4/7/2019 1:48 PM

Source: Math is Fun 6H, 6I 4/7/2019 1:48 PM

How can it be done using a calculator? Ungrouped Data Copy data: 2, 5, 4, 6, 7, 5, 6 Score (x) 2 -3 4 -1 5 6 1 7 35 Score (x) 2 4 5 6 7 35 Score (x) 2 -3 9 4 -1 1 5 6 7 35 16 How can it be done using a calculator? 6H, 6I 4/7/2019 1:48 PM

How can it be done using a calculator? Grouped Copy Score (y) Frequency (f) 11 3 12 4 13 5 14 2 15 8 22 Score (y) Frequency (f) f x y 11 3 33 -2.3636 5.5868 16.7604 12 4 48 -1.3636 1.8595 7.4380 13 5 65 -0.3636 0.1322 0.6610 14 2 28 0.6363 0.4050 0.8100 15 8 120 1.6363 2.6777 21.4216 22 294 47.0910 Score (y) Frequency (f) f x y 11 3 33 12 4 48 13 5 65 14 2 28 15 8 120 22 294 Score (y) Frequency (f) f x y 11 3 33 -2.3636 5.5868 12 4 48 -1.3636 1.8595 13 5 65 -0.3636 0.1322 14 2 28 0.6363 0.4050 15 8 120 1.6363 2.6777 22 294 Score (y) Frequency (f) f x y 11 3 33 -2.3636 12 4 48 -1.3636 13 5 65 -0.3636 14 2 28 0.6363 15 8 120 1.6363 22 294 How can it be done using a calculator? 6H, 6I 4/7/2019 1:48 PM

Guided Practice p. 195: 2, 5, 6* p. 199: 2, 4, 5 p. 201: 2”, 4” p. 203: 1, 3 *use graph paper to make a large graph “ find mean and standard deviation by hand Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers. Copy 6H, 6I 4/7/2019 1:48 PM