Question:
Swami gets a test score of 190, the mean is 150 and SD is 25. Assuming normal distribution, the Z score would be _________. (round off to one decimal place)
Swami gets a test score of 190, the mean is 150 and SD is 25. Assuming normal distribution, the Z score would be _________. (round off to one decimal place)
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The Z score represents the number of standard deviations a data point is from the mean. A positive Z score means the value is above the mean.
Updated On: Nov 21, 2025
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Correct Answer: 1.6
Solution and Explanation
The Z score is given by the formula:
\[
Z = \frac{X - \mu}{\sigma}
\]
where:
- \( X = 190 \) (test score),
- \( \mu = 150 \) (mean),
- \( \sigma = 25 \) (standard deviation).
Substituting the values: \[ Z = \frac{190 - 150}{25} = \frac{40}{25} = 1.6 \] Thus, the Z score is 1.6.
- \( X = 190 \) (test score),
- \( \mu = 150 \) (mean),
- \( \sigma = 25 \) (standard deviation).
Substituting the values: \[ Z = \frac{190 - 150}{25} = \frac{40}{25} = 1.6 \] Thus, the Z score is 1.6.
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