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The graph models the success of a campaign by Dish Carriers that encou

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The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   09 Oct 2023, 11:36
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Question Stats:

63% (03:33) correct 38% (03:24) wrong based on 72 sessions
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The graph models the success of a campaign by Dish Carriers that encouraged Nationwide Dish customers to change companies. The graph specifically charts the number of customers who changed satellite service providers in a 12-month period while the campaign was in progress. Select the best answer to fill in the blanks in each of the statements based on the data shown in the graph.

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1. The percent change in the number of customers who switched services from March to May is approximately the percent change in the number of customers who switched services from January to March.

2. From January to August, the average (arithmetic mean) number of customers who switched falls approximately between .

Data Insights (DI) Quiz-II 2023 [Question #10, Date: Oct-09-2023] [Click here for Details]
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Dropdown 1: equal to Dropdown 2: 400 and 440
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   09 Oct 2023, 13:43
equal to, 400 and 440

Notice, we can totally avoid the calculations here.

We can answer first blank by just looking at the curve from January to May. This curve is linearly increasing till May. So answer must be Equal To.
Now 2nd blank, out of 8 data points, 5 have less than 420 value. So average must be around 420, unless other 3 data points are way too high, which is not the case here. So answer must be between 400 and 440.

But still i have performed calculations down below.

1. The percent change in the number of customers who switched services from March to May is approximately _____ the percent change in the number of customers who switched services from January to March.

percentage of customers who switched services from March to May = (65/352)100 = 18.46%
percentage of customers who switched services from January to March = (52/300)100 = 17.3%

roughly they are equal.

2. From January to August, the average (arithmetic mean) number of customers who switched falls approximately between______

avg = (300 + 321 + 352 + 381 + 417 + 463 + 522 + 580) / 8 = 417

Between 400 and 440.
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   10 Oct 2023, 00:39
i) percent change in the number of customers who switched services from March to Ma= 52/300*100=17.xx
percent change in the number of customers who switched services from January to March= 65/352*100= 18.xx
Thus 17.xx/18.xx= close to 1 hence almost equal

ii) Average = 300+321+352+381+463+417+522+580/ 8= 416
Thus its between 400 and 440
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   10 Oct 2023, 07:46
Part 1: The percent change in the number of customers who switched services from March to May

May = 417, March = 352, Change = 65.
% change = (Change / Original) * 100 = (65 / 352) * 100 = 18.47% (Rounded to nearest hundredth)

the percent change in the number of customers who switched services from January to March.

January = 300, March = 352, Change = 52
% change = (Change / Original) * 100 = (52/ 300) * 100 = 17.33% (Rounded to nearest hundredth)

Hence the answer is equal to.

Part 2: From January to August, the average (arithmetic mean) number of customers who switched falls approximately between

Average January to August = (300 + 321 + 352 + 381 + 417 + 463 + 522 + 580) / 8 = 417.375

Hence, the answer is 400 to 440.
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   10 Oct 2023, 07:55
1. The percent change in the number of customers who switched services from March to May is approximately_________ the percent change in the number of customers who switched services from January to March.

Number of customers who switched services from March to May = 352 + 300 + 321 = 973

Number of customers who switched services from January to March = 417 + 381 + 352 = 1150

1150/973 = 1.18 (approximately equal to 1)


EQUAL TO is the correct answer


2. From January to August, the average (arithmetic mean) number of customers who switched falls approximately between______________

the average (arithmetic mean) number of customers who switched = (300 + 321 + 352 + 381 + 417 + 463 + 522 + 580) / 8 = 417 (ie, between 400 and 440)


BETWEEN 400 and 440 is the correct answer
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   10 Oct 2023, 08:45
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Official Explanation

The answer to the first question is A. About 18% more customers switched in May than in March, and about 17% more switched in March than in January.

The answer to the second question is B. Three hundred customers switched in January and 580 in August. If the graph between those points were a straight line, then the average number of customers who switched per month during that time period would be exactly halfway between those numbers, or 440 customers per month. Instead, though, the graph dips slightly below the level of a straight line between those points, so the average is slightly less than that. The average is in fact about 416 customers per month.
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink] New post   10 Oct 2023, 08:55
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Hello Everyone!

OA to this question is:

1. A
2. B

Official explanation is also posted.
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Re: The graph models the success of a campaign by Dish Carriers that encou [#permalink]
10 Oct 2023, 08:55
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