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.


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 class=

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Answer:  mean and  median will lie in the interval 6 -10

Explanation:

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 6-10

for median we have to find n

here n = sum of frequencies /2

n= 28/2=14

so median will lie in the class 6-10

since, it will lie in cumulative frequency of the interval 5-10

so frequency class interval will be one next to cumulative that is 6-10.

The answer choice which is most likely true is:

B. Mean and median will lie in the interval 6 -10

From the given histogram, we can see that there is the set of data which are used to show the number of pets which were owned by thirty adults.

  • With this in mind, we can see that based on the mean, it lies between 6 and 10 and the median lies between 6 and 10.

Therefore, the correct answer is option B

Read more about frequency distribution here:

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