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
dot plot with number line from 1 to 12, dots as follows: 2 has 1 dot, 7 has 2 dots, 8 has 3 dots, 9 has 1 dot, 11 has 3 dots, 12 has 4 dots
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: Count total data points

Count all dots: $1+2+3+1+3+4=14$

Step2: Identify skew direction

Most data is on the right (11,12), tail on left (2). So left-skewed.

Step3: Count days for 11-12 e-mails

Number of dots at 11 and 12: $3+4=7$

Step4: Check half the days

$\frac{14}{2}=7$, so 7 days is half.

Answer:

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