Thirty adults were asked how many pets they have had over their lifetime. The results are shown in the histogram below. 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.
Accepted Solution
A:
Answer: mean and median will lie in the interval 6 -10Explanation:mean = [tex]\sum_{i=1}^{4} fi*xi/fi[/tex] = (42+64+52+36)/(14+8+4+2) =194/28= 6.mean lies in the interval 6-10for median we have to find nhere n = sum of frequencies /2n= 28/2=14so median will lie in the class 6-10since, it will lie in cumulative frequency of the interval 5-10so frequency class interval will be one next to cumulative that is 6-10.