Question

a data set consists of these values.
data set
30, 31, 34, 39, 41, 41
if the value 30 is added to the data set, which statistic stays the same?

mode

median

mean

range

Explanation:

Step1: Original data set stats

Original data: 30, 31, 34, 36, 41, 41. Mode=41, median=(34+36)/2=35, mean=(30+31+34+36+41+41)/6=213/6=35.5, range=41-30=11.

Step2: New data set stats

New data (add 30): 30,30,31,34,36,41,41. Mode=30&41 (changed), median=34 (changed), mean=(213+30)/7=243/7≈34.71 (changed), range=41-30=11 (unchanged).

Answer:

range