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.