Homework Assignment #1 – Measures of Central Tendency and Variability (remember the equations below, for computing Z and the Variance): 𝓏= 𝑋 − 𝑋̅ 𝜎 𝜎2 = 𝛴(𝑋 − 𝑋̅)2 𝑁−1 1. You will need to take the 7 raw scores from the table below, fill in each space in the table, and answer questions A through F below. You need to make sure that you round everything to the hundredth decimal, as described in the Tegrity modules. A. B. C. D. E. F. Participant Score 1 2 3 4 5 6 7 48 86 74 76 60 46 60 𝑋 − 𝑋̅ Sum of Squares (𝑋 − 𝑋̅)2 𝓏 score Mean = Median = Mode = Variance (𝜎 2 ) = Standard Deviation (𝜎) = What is the estimated percentile for the participant with the highest and lowest z-score above? a. Lowest % & corresponding z-score = b. Highest % & corresponding z-score = 2. You will need to take the 7 raw scores from the table below, fill in each space in the table, and answer questions A through F below. You need to make sure that you round everything to the hundredth decimal, as described in the Tegrity modules. A. B. C. D. E. F. Participant Score 1 2 3 4 5 6 7 14 32 30 29 17 22 15 𝑋 − 𝑋̅ Sum of Squares (𝑋 − 𝑋̅)2 𝓏 score Mean = Median = Mode = Variance (𝜎 2 ) = Standard Deviation (𝜎) = What is the estimated percentile for the participant with the highest and lowest z-score above? a. Lowest % & corresponding z-score = b. Highest % & corresponding z-score =
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