The cumulative frequency curve shows the weekly expenditure on home deliveries of 160 households from Block W.

1. (a)

   Use the cumulative frequency curve to find

   1. (i)

      the median of the distribution,

      Answer $...

   2. (ii)

      the interquartile range of the distribution,

      Answer $...

   3. (iii)

      the value of p, given that p% of the residents spent more than $84 weekly on home deliveries.

      Answer p = ...

2. (b)

   The weekly expenditure on home deliveries of a group of 160 residents from Block K are displayed in the box and whisker plot below.

   Here are two statements comparing the weekly expenditure on home deliveries of the residents from Block W and Block K.
   For each statement, state whether you agree or disagree.
   Give a reason for each answer, stating clearly which statistic you used to make your decision.

   
   1. (i)

      On average, the residents in Block W has lower weekly expenses on home deliveries than the residents in Block K.

      Answer I ...because...

   2. (ii)

      The weekly expenditure on home deliveries of the residents in Block K is closer to the median than the weekly expenditure on home deliveries of the residents from Block W.

      Answer I ...because...