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Find the​ z-score corresponding to the given value and use the​ z-score to determine whether the value is unusual. Consider a score to be unusual if its​ z-score is less than -2 or greater than 2. Round to the nearest hundredth if necessary.

A test score of 53.4 on a test having a mean of 67 and a standard deviation of 8.

A. -1.70; not unusual
B. 1.70; not unusual
C. -13.60; unusual
D. -1.70; unusual

Answer :

Final answer:

To find the z-score for a given value, subtract the mean and divide by the standard deviation. A z-score of -1.70 is not considered unusual.

Explanation:

To find the z-score corresponding to a given value, we can use the formula: z = (x - mean) / standard deviation. Plugging in the values from the question, we get: z = (53.4 - 67) / 8 = -1.70. Since the z-score is -1.70, it falls within the range of -2 to 2 and is not considered unusual.

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