All Time Box Office Revenues Aggregated by Months Rank Month Gross Movies Tracked 1 February, 2009...

All Time Box Office Revenues Aggregated by Months

Rank	Month	Gross	Movies Tracked
1	February, 2009	796,343,640	161
2	February, 2010	745,693,066	173
3	February, 2008	659,270,466	193
4	February, 2004	666,141,251	201
5	February, 2007	693,647,238	176
6	February, 2003	613,460,961	207
7	February, 2005	692,957,988	185
8	February, 2006	652,426,175	193
9	February 2002	529,353,345	98

Calculate the mean for the gross revenues.
Calculate the mean for the Movies tracked.
Calculate the standard deviation for the movies tracked.

Solutions

Expert Solution

1. Mean for the gross revenues.

The sample size is n=9. The provided sample data along with the data required to compute the sample mean is shown in the table below:

	Gross Revenue	Gross Revenue²
	796343640	634163192968449600
	745693066	556058148680480356
	659270466	434637547339857156
	666141251	443744166283845001
	693647238	481146490785028644
	613460961	376334350671043521
	692957988	480190773133008144
	652426175	425659913825130625
	529353345	280214963862689025
Sum =	6049294130	4.1121495475495E+18

The sample mean is computed as follows:

2. Mean for the Movies tracked.

The sample size is n=9. The provided sample data along with the data required to compute the sample mean and sample variance are shown in the table below:

	Movies Tracked	Movies Tracked²
	161	25921
	173	29929
	193	37249
	201	40401
	176	30976
	207	42849
	185	34225
	193	37249
	98	9604
Sum =	1587	288403

The sample mean is computed as follows:

3. The standard deviation for the movies tracked.

Also, the sample variance is

Therefore, the sample standard deviation s is

Please do upvote if you are satisfied! Let me know in the comments if anything is not clear. I will reply ASAP!

orchestra answered 1 year ago

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