Measures of Central Tendency and Dispersion from Grouped Data.

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Presentation transcript:

Measures of Central Tendency and Dispersion from Grouped Data

Mean From a Freq. Table

Mean from a Freq. Table (TI-83/84) 1.Put Midpoints in L1, Freq in L2 2. “Stat” button, Choose “CALC”, Choose “1-Var Stats”, “enter” button, “2 nd ” button, “1” button, “,” button, “2 nd ” button, “2” button, “enter”, should look like: 1-Var Stats L1,L2

1. Find the mean of the following frequency distribution AgesFreq 0 – 43 5 – – – – 242

Sample Std Dev from a Freq. Table

Population Std Dev from a Freq. Table

Std Dev from a Freq. Table (TI-83/84) 1.Put Midpoints in L1, Freq in L2 2. “Stat” button, Choose “CALC”, Choose “1-Var Stats”, “enter” button, “2 nd ” button, “1” button, “,” button, “2 nd ” button, “2” button, “enter”, should look like: 1-Var Stats L1,L2

Variance from a Freq. Table (TI-83/84) Square the standard deviation you found. Be sure not to round the standard deviation any BEFORE you square it.

2. Find the sample standard deviation and sample variance of the following frequency distribution AgesFreq 0 – – – – – 491

Weighted Mean

3. Weighted Mean In a course, attendance counts for 10% of the grade, quizzes count for 20%, tests count for 50% and final as 20%. Bill got 100% for attendance, 80% for quizzes, 70% for tests and 30% on the final (he should have studied harder). What is Bill’s course average?