The statement which is not a characteristic of the normal distribution is:
c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.
The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below. The area under the normal curve is always equal to 1. The mean, the mode and median are equal. The Empirical Rule states that 68% of the measures are within 1 standard deviation of the mean, 95% within 2 and 99.7% within 3, thus, statement c is false.
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of measure X.Mean of 0ºC, thus Standard deviation of 1ºC, thus The 88th percentile is X when Z has a p-value of 0.88, so X when Z = 1.175.
DISCLAIMER:Which of the following is not a characteristic of the normal probability distribution? Select one: a. Symmetry b. The total area under the curve is always equal to 1. c. 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean d. The mean is equal to the median, which is also equal to the mode.
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