Question

Question 6 (1 point)

The number of text messages sent by a random sample of students at a local university was collected and the following histogram was created:

Which of the following statements is likely true:

Question 6 options:

	The distribution of number of text messages sent is approximately symmetric, so the mean is approximately the same as the median.
	The distribution of number of text messages sent is skewed to the left, so the mean is likely less than the median.
	The distribution of number of text messages sent is skewed to the right, so the mean is likely less than the median.
	The distribution of number of text messages sent is skewed to the right, so the mean is likely greater than the median.
	The distribution of number of text messages sent is skewed to the left, so the mean is likely greater than the median.

Answer 1

ANSWER::

because,

1) the shape of given histogram is skewed to left

2) for left skewed distribution mean is less than the median

3) for right skewed distribution mean is greater than the median

(OR)   

Looking at the plot for the number of texts here:

This is a negatively skewed distribution here:

Therefore it is a left skewed distribution and so the mean is less than the median. Therefore B is correct here.

Now for the second question, we have the graph as:

Also the graph for the second graph here is left skewed

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