Question

1. When the shape of the distribution of scores is normal, which of the follow is true:

A.) mean < median < mode

B.) mean = median = mode

C.) mean > median > mode

2. When the score for the mean is significantly larger than the median score, you would expect the shape of the distribution of scores to be

A.) need more information

B.) positively skewed

C.) negatively skewed

D.) platykurtic

E.) leptokurtic

Answer 1

1). When the shape of the distribution of scores is normal,the,

mean = median = mode.(b)

[ normal distribution is a symmetric distribution..so for this distribution mean ,median and mode are approximately equal.]

2).When the score for the mean is significantly larger than the median score, we expect the shape of the distribution of scores to be:-

positively skewed.(b)

[ for a positively skewed distribution , mean > median > mode...so, the option b is correct.

other options are not correct because,

for a negatively skewed distribution , mean < median < mode.

Kurtosis tells about the tails of the distribution — not the peakedness.

when, kurtosis < 3, the distribution is platykurtic.

when, kurtosis > 3, the distribution is leptokurtic. ]

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