Question

darren kept track of the number of e - mails he received from one of his customers each day for 14 days on the dot plot.
e - mails per day from customer
which statement must be true according to the dot plot?
the data is skewed left and shows that on half of the days, darren received 11 or 12 e - mails from the customer
the data is skewed left and shows that on half of the days, darren received 7 to 9 e - mails from the customer
the data is skewed right and shows that on half of the days, darren received 11 or 12 e - mails from the customer
the data is skewed right and shows that on half of the days, darren received 7 to 9 e - mails from the customer

Explanation:

Step1: Analyze skewness

The tail of the dot - plot is on the left side (fewer data points on the left). So the data is skewed right.

Step2: Count data points

Count the number of data points. There are \(1 + 2+3 + 1+3 + 4=14\) data points. Half of \(14\) is \(7\).
Count the number of data points for \(7 - 9\): \(2 + 3+1=6\).
Count the number of data points for \(11 - 12\): \(3 + 4 = 7\)

Answer:

The data is skewed right and shows that on half of the days, Darren received 11 or 12 e - mails from the customer.