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Which of the following statements about a negatively skewed distribution is true? a) The distribution of the data tails to the right of the median. b) The mean and median have the same value. c) The distribution of the data tails to the left of the median. d) The distribution of the data features two modes.

Respuesta :

Answer: c) The distribution of the data tails to the left of the median

Step-by-step explanation:

In a scenario whereby the mean is more than the mode for a particular distribution, we can say that such distribution is said to be positively skewed.

Also, when the mean in the distribution is less than the mode, we can say that the distribution is said to be negatively skewed. For a negatively skewed distribution, it should be noted that on the left side, the tail of distribution is seem to be longer.

Therefore, the correct option is C "The distribution of the data tails to the left of the median".

The option C is correct.

Negatively skewed distribution:

  • It is a type of distribution in which more values are concentrated on the right side  of the distribution graph while the left tail of the distribution graph is longer.
  • In a distribution that is negatively skewed, the mean of negatively skewed data will be less than the median.
  • The distribution of the data tails to the left of the median.
  • A negative skew is generally not good.

So that Option C is correct.

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