Question

lifetime pets 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

Explanation:

Step1: Analyze the distribution

The bar - chart shows that the majority of the data is concentrated in the 1 - 5 interval. The frequency in the 1 - 5 interval is much higher than in the other intervals (6 - 10, 11 - 15, 16 - 20).

Step2: Consider the mean

Since the data is heavily weighted towards the 1 - 5 interval, the mean (average) will be pulled towards this interval. The larger frequencies in the 1 - 5 interval will have a greater impact on the sum of all data values divided by the number of data points, making the mean likely to be in the 1 - 5 interval.

Step3: Consider the median

The median is the middle - value when the data is arranged in ascending order. With a large number of data points in the 1 - 5 interval, when we arrange the data, the middle - value will also fall within the 1 - 5 interval.

Answer:

The mean and median are both in the interval 1 - 5