Measures of central tendency for a normal distribution

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True of False (Indicate T or F)

a) The three measures of central tendency for a normal distribution are identical.

b) A normal distribution may be symmetrical or skewed left or right.

c) A normally distributed data set has a mean of 100, and it is known that 30% of the values are greater than 140. The standard deviation of the normal distribution cannot be determined.

d) The probability of a point occurring in any interval of equal length is the same in a uniform distribution.

e) The total area under the normal curve is 1 as it is for all continuous distributions.

f) For a variable that has a normal probability density, the probability of an occurrence larger than 1.1 times the standard deviation is very unlikely.

g) Transformation of normal distributions to a standard normal distribution makes it easier to compare them and allows there to be a single table to be used for all normal distributions.

h) Although a normal distribution has a 'bell' shape, not all 'bell' shaped distributions are normal distributions.

i) A normal distribution is completely described by two quantities: mean and standard deviation.

j) Extreme values are not likely to occur in a normal distribution.

Reference no: EM132852795

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