Question

A dot plot titled Miles Emilia Ran Each Week going from 1 to 6. 1 has 2 dots, 2 has 3 dots, 3 has 2 dots, 4 has 2 dots, 5 has 3 dots, and 6 has 4 dots. The dot plot shows the number of miles Emilia ran each week. Which is true of the data in the dot plot? The data is symmetric. The center of the data is 3.5. There is a peak at 3. The spread is from 1 to 6.

Answer 1

The true statement is " The spread is from 1 to 6."

Step-by-step explanation:

Consider the provide information.

First we will draw the dot plot as shown in the figure.

Now consider the options.

The data is not symmetric as for the symmetry the dots over 1 should be equal to the dots over 6. i.e 4.

Now find the center of the data by calculation the median of the data.

There are 16 dots in total which is an even number.

So, now we will find the average of the two middle values.

This will be the 8th and 9th value average for the given data set of 16 values.

Count from left to right the 8th and 9th values are both 4.

`\text{Median}=(4+4)/(2)`

`\text{Median}=4`

Hence, the center of the data is 4.

The second statement is false.

The peak of the data is at 6.

The third statement is false.

The spread is from 1 to 6 as we can see in the figure shown below.

Therefore, the true statement is " The spread is from 1 to 6."