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 the skewness

In a dot - plot, if the tail of the data is on the right side (fewer data points on the higher - value side), the data is skewed right. Here, the higher values (11 and 12) have more data points compared to the lower values on the left side.

Step2: Count the number of data points

The total number of data points \(n = 14\). Half of the data points is \(\frac{n}{2}=7\).
The number of data points for \(x = 7\): 2; \(x = 8\): 3; \(x = 9\): 1. The sum of data points for \(x = 7\), \(x = 8\) and \(x = 9\) is \(2 + 3+1=6\).
The number of data points for \(x = 11\): 3; \(x = 12\): 4. The sum of data points for \(x = 11\) and \(x = 12\) is \(3 + 4=7\).

Answer:

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