Answer:
41
Step-by-step explanation:
5 integers with an average of 44
⇒ sum of the integers = 5 x 44 = 220
The median is the middle number when the numbers are put in order of smallest to largest. So the integers are: x x 50 x x
The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52. Since the median is 50, the integers are: x x 50 52 52
Therefore, the remaining two integers are less than 50.
The range is the difference between the largest integer and the smallest integer. As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25
25 x 50 52 52
To find the last unknown integer :
⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220
⇒ x = 41
Therefore, the integers are:
25, 41, 50, 52, 52
