Find the mean, median, and mode for the set of

Alaina Ortiz

Alaina Ortiz

Answered question

2022-02-12

Find the mean, median, and mode for the set of numbers. If necessary, round the mean to one decimal place. 277, 583, 118, 333, 548, 246, 612, 298

Answer & Explanation

Belen Hebert

Belen Hebert

Beginner2022-02-13Added 8 answers

1) Find the mean of the list:
(277, 583, 118, 333, 548, 246, 612, 298)
State the definition of the mean.
The mean of a list of numbers is given by:
(sum of elements)/(number of elements)
Identify the sum of the elements.
(sum of elements) = 277 + 583 + 118 + 333 + 548 + 246 + 612 + 298:
(277 + 583 + 118 + 333 + 548 + 246 + 612 + 298)/(number of elements)
Next, find the number of elements.
Counting, we see that the list has 8 elements:
(277 + 583 + 118 + 333 + 548 + 246 + 612 + 298)/8
Now evaluate the sum in the numerator.
277 + 583 + 118 + 333 + 548 + 246 + 612 + 298 = 3015:
Answer: 3015/8=376.875
2) Find the median of the list:
(277, 583, 118, 333, 548, 246, 612, 298)
First, sort the list from smallest to largest.
The list, sorted from smallest to largest, is:
(118, 246, 277, 298, 333, 548, 583, 612)
Find the two elements in the middle of the sorted list.
The two elements in the middle of the list (118, 246, 277, 298, 333, 548, 583, 612) are 298 and 333:
(118, 246, 277, 298, 333, 548, 583, 612)
The median is the average of the two elements in the middle of the sorted list.
The median is the average of the two middle elements, 298 and 333. This average is:
Answer: (298 + 333)/2 = 631/2
3) Find the mode (commonest element) of the list:
(277, 583, 118, 333, 548, 246, 612, 298)
All the elements of this list are distinct so all of them are modes.
The modes of (277, 583, 118, 333, 548, 246, 612, 298) are:
Answer:(118, 246, 277, 298, 333, 548, 583, 612)

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