Question

the number of text messages that reza sent each day so far in this billing cycle is shown on the dot plot. which statement must be true according to the dot plot? the data is symmetric and shows that he typically sent about 6 to 8 text messages per day. the data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts. the data is skewed and shows that he typically sent about 6 to 8 text messages per day. the data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.

Explanation:

Step1: Analyze data symmetry

Symmetric data has a mirror - like pattern. Skewed data has a longer tail on one side. Looking at the dot - plot, the data is not symmetric. There are more dots on the left - middle (6 - 8 range) and fewer on the far left (1 - 2) and far right (11 - 12). So it is skewed.

Step2: Check frequency of 1 - 2 and 11 - 12 texts

Count the number of dots for 1 - 2 texts and 11 - 12 texts. The number of dots for 1 - 2 texts is not the same as for 11 - 12 texts.

Step3: Determine typical range

The majority of the dots are clustered around 6 - 8. So the typical number of texts per day is about 6 - 8.

Answer:

The data is skewed and shows that he typically sent about 6 to 8 text messages per day.