Question

Variance and Standard Deviation Problems For each of the following three data sets, calculate the variance and standard deviation of the samples, using the appropriate symbols to label each 1. Measured Female Heights 50.0 51.5 53.0 53.5 54.0 2. Student Test Scores 282 297 300 306 315 3. Accumulated College Credits of College Seniors 96 103 105 110 113 Rubric

Answer 1

Q- 1.) Mean , 4 = x + y + y + hu tus 5 = 50+5.5+53 +53.5+54 5 = 52.4 n-1 Standard deviation, o [(N-u) ² 10=/(50-52.4²+ (51.5-52.4² + (53-52.4² (53.5-52.4² + (54-52.4)2 5-1 12/2 1/2 (5.76+0.81+0.36+1, 2] + 2,56 o = √2.675 4 1.635 2.) = Mean , 4 = x + H2 + 2ztky + As S - 282+297 +300+ 3064315 200 Standard Deviation , o = {(x-4)² (-18)²+(-3)²+0+ (6) ²+ (15) 2 1/2 n-1 5-1 N148.5 12.186

Date Page No 3. = Mean, u = n, tuy t 23 + Hy +25 5 3 96+ 103+105 + 110+113 5 105.4 = Standard Deviation, &= {(x-4)2 h-| -9, 4)2 + (-2-4)²+(-0.4) ² (4.6) ²+ (7.6) 2 o z 174.64 4 o = 6.607

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