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# z score calculator

 Raw Sc. (X): , Pop. Mean (μ): , St. Dev. (σ): z = (X - μ) / σ = (100 - 50) / 75= 0.6667

St. Dev. (σ) - Population standard deviation. It is measurement, how much data is spread out. It is distance away from a mean.
Raw Sc. (X) - Raw score. The raw score is simply unchanged some test or tracking data. For example, it can be amount of answered questions from some test or some value from observation.
Pop. Mean (μ) - Population mean. In statistics, the population mean is the average of a set of data. Practically, in real life the average of data set and the mean are the same things.

### Examples:

#### z scores for μ = 50 and σ = 75

 Raw Sc. (X) Z score 81 0.4133 82 0.4267 83 0.44 84 0.4533 85 0.4667 86 0.48 87 0.4933 88 0.5067 89 0.52 90 0.5333 91 0.5467 92 0.56 93 0.5733 94 0.5867 95 0.6 96 0.6133 97 0.6267 98 0.64 99 0.6533 100 0.6667 101 0.68 102 0.6933 103 0.7067 104 0.72 105 0.7333 106 0.7467 107 0.76 108 0.7733 109 0.7867 110 0.8 111 0.8133 112 0.8267 113 0.84 114 0.8533 115 0.8667 116 0.88 117 0.8933 118 0.9067 119 0.92 120 0.9333

#### z scores for X = 100 and σ = 75

 Pop. Mean (μ) Z score 31 0.92 32 0.9067 33 0.8933 34 0.88 35 0.8667 36 0.8533 37 0.84 38 0.8267 39 0.8133 40 0.8 41 0.7867 42 0.7733 43 0.76 44 0.7467 45 0.7333 46 0.72 47 0.7067 48 0.6933 49 0.68 50 0.6667 51 0.6533 52 0.64 53 0.6267 54 0.6133 55 0.6 56 0.5867 57 0.5733 58 0.56 59 0.5467 60 0.5333 61 0.52 62 0.5067 63 0.4933 64 0.48 65 0.4667 66 0.4533 67 0.44 68 0.4267 69 0.4133 70 0.4

#### z scores for X = 100 and μ = 50

 St. Dev. (σ) Z score 55 0.9091 56 0.8929 57 0.8772 58 0.8621 59 0.8475 60 0.8333 61 0.8197 62 0.8065 63 0.7937 64 0.7813 65 0.7692 66 0.7576 67 0.7463 68 0.7353 69 0.7246 70 0.7143 71 0.7042 72 0.6944 73 0.6849 74 0.6757 75 0.6667 76 0.6579 77 0.6494 78 0.641 79 0.6329 80 0.625 81 0.6173 82 0.6098 83 0.6024 84 0.5952 85 0.5882 86 0.5814 87 0.5747 88 0.5682 89 0.5618 90 0.5556 91 0.5495 92 0.5435 93 0.5376 94 0.5319