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: Contar total de datos

Contar los puntos: $1 + 2 + 3 + 1 + 3 + 4 = 14$ días.

Step2: Identificar asimetría

La mayoría de los datos se agrupan en los valores altos (7-12), con un solo dato bajo (2). Esto significa que la distribución está sesgada a la izquierda (skewed left).

Step3: Calcular la mitad de los datos

La mitad de 14 es $14 \times \frac{1}{2} = 7$ días.

Step4: Contar datos en rangos

Contar los puntos en 11 o 12: $3 + 4 = 7$ días, que es la mitad de los datos.

Answer:

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