with verified answers
Consider the following set of test scores:
Test 1: 61
Test 2: 88
Test 3: 91
Test 4: 73
Test 5: 82
Calculate the standard deviation.
σ ≈ 10.9
TEST SCORES (x):
61
88
91
73
82
x - μ [μ = 79]:
-18
9
12
-6
3
[ Σ(x - μ) = 0 ]
(x - μ)^2
324
81
144
36
9
[ Σ((x - μ)^2) = 594 ]
σ = √[Σ((x - μ)^2)] / n
σ = √
σ = √118.8
σ = 6√3.3
σ = 10.89954127
.Consider the following set of test scores:
Test 1: 63
Test 2: 88
Test 3: 68
Test 4: 96
Test 5: 72
The standard deviation is 14. Calculate the z-score for test score of 63.
z ≈ -1.0