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Introduction to Using Statistical Analyses. Measures of Central Tendency (done . . .for now) Measures of Variability Writing Using the Standard Normal Curve. A Reminder of the Way We Note Things: Our Shorthand. A Reminder of the Way We Note Things: Our Shorthand.

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## Introduction to Using Statistical Analyses

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**Introduction to Using Statistical Analyses**• Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve**A Reminder of the Way We Note Things:**Our Shorthand**A Reminder of the Way We Note Things:**Our Shorthand**A Reminder of the Way We Note Things:**Our Shorthand**A Reminder of the Way We Note Things:**Our Shorthand**A Reminder of the Way We Note Things:**Our Shorthand**Introduction to Using Statistical Analyses**• Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve**Assessing Dispersion by Looking at Spread**Data 2 5 8 Mean = 5**Assessing Dispersion by Looking at Spread**Data 2 5 8 Mean = 5 How far from the mean are the data?**Starting to Assess the Variance**2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3**A Formula to Assess the Variance**2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9**A Formula to Assess the Variance**2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 18 =**A Formula to Assess the Variance**2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 18 =**A Formula to Assess the Variance**2 5 8 - 5 - 5 - 5 = - 3 = 0 = 3 9 0 9 THE VARIANCE 18 =**SAMPLE AND POPULATION TERMS**Sample Population**SAMPLE AND POPULATION TERMS**Sample Population Mean**SAMPLE AND POPULATION TERMS**Sample Population Mean Variance**SAMPLE AND POPULATION TERMS**Sample Population Mean Variance Standard Deviation**Introduction to Using Statistical Analyses**• Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve**Introduction to Using Statistical Analyses**• Measures of Central Tendency (done . . .for now) • Measures of Variability • Writing • Using the Standard Normal Curve**Standard Normal Curve**= 0 - 3 s + 3 s = 1**z Scores when Data Do Not Already Have a Mean of 0 and a**Standard Deviation of 1**z Scores when Data Do Not Already Have a Mean of 0 and a**Standard Deviation of 1 or**Areas under the Standard Normal Curve**z = -1.67 z = 1 0**Areas under the Standard Normal Curve**z = -1.75 z = 1.75 0**Correlation Example**Speaking Skill X Writing Skill Y 1 2 3 4 5 3 4 7 5 6**Correlation Chart*** 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill**Correlation Chart*** 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill**Correlation Chart*** 7 * 6 * 5 * 4 Writing skill * 3 2 1 0 0 1 2 3 4 5 Speaking Skill**Correlation Example Using z scores**Speaking Skill X Writing Skill Y Zy Zx 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63**Correlation Example Using z scores**Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8**Correlation Example Using z scores**Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8 SUM = _ 2.81 __ n-1 = 4**Correlation Example Using z scores**Speaking Skill X Writing Skill Y Zy Zx Zx * Zy 1 2 3 4 5 - 1.27 - .63 0 .63 1.27 3 4 7 5 6 - 1.27 - .63 1.27 0 .63 1.61 .4 0 0 .8 =.70 SUM = _ 2.81 __ n-1 = 4**Correlation Example**Speaking Skill X Writing Skill Y 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1**Correlation Example**Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2**Correlation Example**Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2 = 7**Correlation Example**Speaking Skill X Writing Skill Y * 1 2 3 4 5 - 2 - 1 0 1 2 3 4 7 5 6 - 2 - 1 2 0 1 4 1 0 0 2 = 7 n-1 = 4

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