Question

Q13 Briefly describe the following distribution shapes: [3 Marks]

(a) Symmetrical distribution.

(b) Positively skewed distribution.

(c) Negatively skewed distribution.

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Answer 1

Answer:

(a) Symmetrical distribution:

Symmetrical appropriation is a circumstance where the estimations of factors happen at standard frequencies, and the mean, middle and mode happen at a similar point.Unlike asymmetrical distribution, symmetrical distribution does not skew.

At the point when information are slanted left, the mean is littler than the middle. In the event that the information are symmetric, they have about a similar shape on either side of the center. As it were, on the off chance that you crease the histogram down the middle, it appears to be identical on the two sides.

b) Positively skewed distribution:

A distribution is negatively skewed,or skewed to the left, if the scores fall toward the higher side of the scale and there are not many low scores. In positively skewed distributions the mean is normally more noteworthy than the middle, which is constantly greater  than the mode.

For instance, the normal distribution  is a symmetric distribution with no skew.The tails are actually the equivalent. A left-skewed distribution  has a long left tail. Left-skewed distributions are additionally called negatively-skewed distributions.

(c) Negatively skewed distribution:

A left skewed distribution is now and then called a negatively skewed distribution since it's long tail is on the negative course on a number line. A common misconception is that the peak  of distribution is the thing that characterizes "peakness." as it were, a peak  that watches out for the left will be left skewed distribution.