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STA 2023 Dr. D. P. Story Handout #2 Statistics Fall 2006 Below are some notes on the use of the TI-84 calculator. The procedures for computing various sample statistics should be pretty much the same for all TI calculators. Consult your user manual. To calculate the mean: Working with ungrouped data To Enter data into a list: To make a statistical calculation, you need to enter the data set into the device. The steps are. . . 1. 9 (Note: y …) 2. Math 3. Í 1. … 4. 3: mean( 2. Edit 5. Í 3. 1:Edit 6. mean( $ 4. Í 7. mean(d) 5. Select a list, say d 6. At this point you enter your data, one at a time, hitting Í to go to the next entry. The same procedure can be repeated by using the different functions available through the Math menu of 9 • Median: Use 4: median(, enter median(d) 7. Press 5 to quit the … menu To Compute sample statistics x̄, s and σ: Assuming you have already entered your data set into a list, follow the steps below to compute standard statistics: • Sample Standard Deviation: Use 7: stdDev(, enter stdDev(d) • Sample Variance: Use 8: variance(, enter variance(d) 1. … Working with grouped data 2. Calc 3. 1: 1-Var Stats The same procedures can be performed with grouped data. 4. Í To Enter data into a list for Grouped Data: To make a statistical calculation, you need to enter the data set into the device. Repeat the steps listed above in To Enter data into a list; enter the midpoints of each class into one list, and enter the frequency of each class into another list—of course in the same order. 5. 1-Var Stats $ (Here, $ represents the blinking cursor.) 6. The blinking cursor indicates the calculator is waiting for input. Enter the name of your list, for example, d 7. Í 8. The output 2 of the 1-Var Stats procedure lists: x̄, x, x , sx (the sample standard deviation) and σx (the population standard deviation). To Compute sample statistics given n, x and x2 1. x̄ = n1 x 2 1 2 2. SSx = x − n ( x) (The sum of squared deviations) 3. σx2 = 4. s2x = 1 n SSx (population variance) 1 n−1 SSx (sample, or unbiased, 5. σx = σx2 6. sx = s2x For the purpose of illustration, assume the midpoints are listed in d and the frequencies are listed in e. To calculate Grouped mean: 1. 9 (Note: y …) 2. Math 3. Í 4. 3: mean( 5. Í 6. mean( $ 7. mean(d,e) variance) The same procedure can be repeated by using the different functions available through the Math menu of 9 • Median: Use 4: median(, enter median(d,e) To Compute individual statistics using TI functions • Sample Standard Deviation: Use 7: stdDev(, enter stdDev(d,e) For the purpose of illustration, assume the midpoints are listed in d. • Sample Variance: Use 8: variance(, enter variance(d,e)