Can someone
the student populations of 10 colleges are shown.
28,457
29,290
31,730
35,351
41,710
47,122
47,966
49,589
58,698
174,000
determine whether the mean or the median best describes the center of the data set and give its value. (4 points)
the mean best describes the center because the data are all close together. the mean is 54,391.
the median best describes the center because the data are all close together. the median is 44,416.
the mean best describes the center because it is not affected by an extreme value. the mean is 54,391.
the median best describes the center because it is not affected by an extreme value. the median is 44,416.

The median best describes the centre because it is not affected by an extreme value. The median is 44,416.

Step-by-step explanation:

Mean

Mean = Sum of all data/number of data

Sum of all data: 28,457 +29,290 +31,730 +35,351 +41,710 +47,122 +47,966 +49,589 +58,698 +174,000 = 543913

Number of data: 10

Sum of data = 543913/10

Sum of data = 54391.3 rounded off to 54391

Median

Write all numbers in ascending order.

28,457

29,290

31,730

35,351

41,710

47,122

47,966

49,589

58,698

174,000

Median for even number data = n/2

n = total number of data

Median = 10/2

Median = 5th + 6th term / 2

Median = 41,710 +47,122 / 2

Median = 44,416

The median best describes the centre because it is not affected by an extreme value. The median is 44,416.