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10 May, 10:56

Give a simple example of a left-skewed distribution. Choose the correct answer below. A. The number of books read during the school year by fifth graders is a left-skewed distribution. B. The heights of a sample of 55 men is a left-skewed distribution. C. The speed of cars on a road where a visible patrol car is using radar to detect speeders is a left-skewed distribution. D. The weights of a sample of 500 dogs of varying breed is a left-skewed distribution.

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  1. 10 May, 11:46
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    Correct option is (C).

    Step-by-step explanation:

    A left-skewed distribution curve has a longer tail towards the left of the data and most of observation are collected on the right.

    The properties of a left-skewed distribution are:

    The mean is less than the median. The tail of the distribution towards the left of the curve. The median of the data is closer to the third quartile.

    The mean of a data is computed by taking all the values into consideration. Whereas the median is a single value and is computed by using the number of observations.

    So if the mean of a data is less than the median it can be interpreted that most values are lesser in magnitude.

    The speed of cars on a road where a visible patrol car is using radar to detect speeders is a left-skewed distribution.

    This is because people will drive according to the speed limit to avoid getting a ticket.

    So most of the speed values will be less and very few will be more than the speed limit.

    Thus, the correct option is (C).
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