4. in the set 22 x 20 19 18 20 20, what must be the value of x so that the mean, median and mode are equal.
Share
4. in the set 22 x 20 19 18 20 20, what must be the value of x so that the mean, median and mode are equal.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
First, we need to find the median of the set:
Arrange the numbers in order: 18 19 20 20 20 22 x
Since there are an even number of values, the median is the average of the two middle values: (20 + 20)/2 = 20
Now, we need to find the mode of the set, which is the value that appears most frequently. In this case, the mode is 20 since it appears three times.
Next, we need to find the mean of the set:
Mean = (18 + 19 + 20 + 20 + 20 + 22 + x)/7
We want the mean, median, and mode to be equal, so:
(18 + 19 + 20 + 20 + 20 + 22 + x)/7 = 20
Simplifying, we get:
119 + x = 140
x = 21
Therefore, the value of x that makes the mean, median, and mode equal is 21.