2025 AISS PRELIMS P1 Q23

\[12\qquad24\qquad8\qquad21\qquad28\qquad17\qquad2p\qquad4p^2\]The list shows information about the number of text messages Mei received each day for 8 days. The total number of text messages is 140.

1. Show that (p=2.5).[3]
2. The standard deviation for Mei’s data is 7.89. For the same 8 days, Mei’s brother also received some text messages. For his data, the mean is 19 and the standard deviation is 8.51. Make two comparisons between the distributions for the number of text messages received by Mei and her brother.[2]