Question

Thirty adults were asked how many pets they have had over their lifetime. the results are shown in the histogram below. a bar graph entitled lifetime pets has number of pets on the x-axis and number of adults on the y-axis. 14 adults had 1-5 pets; 9 had 6 to 10; 5 had 11 to 15; 2 had 16 to 20. which of the following is most likely true? the mean and median are both in the interval 1–5. the mean and median are both in the interval 6–10. the mean is in the interval 6–10, and the median is in the interval 1–5. the mean is in the interval 1–5, and the median is in the interval 6–10.

Answer 1

Using the concepts of the mean and of the median, it is found that the correct option is given by:

both in the interval 6–10.

What are the mean and the median of the data-set?

• The mean is the sum of all observations divided by the number of observations.

• The median is the measure that separates the bottom half of the variable from the upper half, that is, the 50th percentile.

To calculate the mean from the histogram, we take the midpoint of each interval and calculate the weighed mean, hence:

$M = \frac{14(3) + 9(8) + 5(13) + 2(18)}{30} = 7.17$

The median is in the interval in which the 30/2 = 15th measure is, which is also in the interval 6-10, as the interval 1-5 had 14 adults, and after interval 6-10, there are 23 adults.

Hence, the correct option is given by:

both in the interval 6–10.

More can be learned about the mean and the median of a data-set at brainly.com/question/24732674