Question

Below are the ages of 20 winners of the Acadeiny Award for Best Actor and Best Actress. Best Actor: 42 54 52 37 38 60 32 45 60 32 45 60 46 40 36 50 47 29 43 37 Best Actress: 32 4 1 33 31 74 33 32 22 49 61 21 41 26 33 44 80 42 29 33 4) Create a back to back stem and leaf plot. TABLE 2. Back to back stem and leaf for best actor/actress Best Actor Best Actress 5) Compare the two sets of data, what can be concluded from the stem and leaf display?

Answer 1

1) Proportion of adults that very rarely dine out= No. of adults(frequency) that very rarely dine out /Total no. of adults

= 79/521 = 0.1516

In percentage terms, it is 0.1516*100= 15.16%

2) a) Descriptive.

If someone says the quote as mentioned in the question, it is a Descriptive statement as it can be verified from the data of the sample that has been provided(and can be proofed as below):

Proportion of adults that dine out several times a week =

No. of adults(frequency) that dine out several times a week /Total no. of adults

= 103/521 =0.1976

In percentage terms, it is 0.1976*100= 19.76% = 20% approx

3) Relative frequency is better to compare different surveys because it helps us in understanding the association between variables in a better and a meaningful way. Relative frequency shows percentages/proportions rather than the absolute counts which can be used for direct comparison.

Hence, they help in summarising the data better.

4) Back to back stem and leaf plot

TABLE 2

BEST ACTOR		BEST ACTRESS
9	2	1 2 6 9
8 7 7 6 2 2	3	1 2 2 3 3 3 3 8
7 6 5 5 3 2 0	4	1 1 2 4 9
4 2 0	5
0 0 0	6	1
	7	4
	8	0
	9