Question:
A standard z-score is related to:
A standard z-score is related to:
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Standardising with mean and standard deviation gives the standard normal curve.
Updated On: Jun 24, 2026
- Binomial distribution
- Normal distribution
- Chi-square test
- t-test
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The Correct Option is B
Solution and Explanation
Step 1: A z-score measures how many standard deviations a value lies from the mean, calculated as \(z = \frac{x - \mu}{\sigma}\).
Step 2: Standardising a value this way converts any normal distribution into the standard normal distribution, which has a mean of 0 and a standard deviation of 1. The z-score is therefore the standard score of the normal distribution.
Step 3: The binomial distribution deals with counts of successes in fixed trials and uses its own parameters, not the z-score. The chi square test compares observed and expected frequencies. The t-test uses the t statistic for small samples or unknown population variance.
Step 4: So the z-score belongs to the normal distribution.
The correct answer is option B.
Step 2: Standardising a value this way converts any normal distribution into the standard normal distribution, which has a mean of 0 and a standard deviation of 1. The z-score is therefore the standard score of the normal distribution.
Step 3: The binomial distribution deals with counts of successes in fixed trials and uses its own parameters, not the z-score. The chi square test compares observed and expected frequencies. The t-test uses the t statistic for small samples or unknown population variance.
Step 4: So the z-score belongs to the normal distribution.
The correct answer is option B.
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