In the dataset 12, 18, 24, 31, 32, 38, 43, 48 — if the number 31 were not present, how much would the median decrease or increase?

Q.In the dataset 12, 18, 24, 31, 32, 38, 43, 48 — if the number 31 were not present, how much would the median decrease or increase? (a) 1.5 decrease (b) 1.5 increase (c) 0.5 decrease (d) 0.5 increase

Answer: D

The median of the data set 12, 18, 24, 31, 32, 38, 43, 48 is \(\cfrac{31+32}{2}=31.5\) If the number 31 were not present, the median would be 32 \(\therefore\) the median would increase by (32 − 31.5) = 0.5