Question

Take in a show: The following table presents the weekly attendance, in thousands, at some Broadway shows during the 2012-2013

season.

196.4	228.3	239.3	252.1	187.7	214.0	240.4	256.0	235.2	205.3
234.9	269.4	292.4	184.2	244.1	222.4	240.9	183.1	254.9	213.6
231.6	189.9	269.2	196.6	232.1	181.6	265.6	192.2	220.6	190.4

(a) Find the mean and median weekly attendance. Round the answers to at least two decimal places.

(b) Based on the mean and median, would you expect that a histogram would be skewed to the left, skewed to the right, or approximately symmetric?

Answer 1

Ans.

(a).

No.	Xi
1	196.4
2	228.3
3	239.3
4	252.1
5	187.7
6	214.0
7	240.4
8	256.0
9	235.2
10	205.3
11	234.9
12	269.4
13	292.4
14	184.2
15	244.1
16	222.4
17	240.9
18	183.1
19	254.9
20	213.6
21	231.6
22	189.9
23	269.2
24	196.6
25	232.1
26	181.6
27	265.6
28	192.2
29	220.6
30	190.4
SUM =	6764.4

For median we need to arrange data in ascending order:

No.	Xi
1	181.6
2	183.1
3	184.2
4	187.7
5	189.9
6	190.4
7	192.2
8	196.4
9	196.6
10	205.3
11	213.6
12	214.0
13	220.6
14	222.4
15	228.3
16	231.6
17	232.1
18	234.9
19	235.2
20	239.3
21	240.4
22	240.9
23	244.1
24	252.1
25	254.9
26	256.0
27	265.6
28	269.2
29	269.4
30	292.4

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