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KNC piano school receives all of its business from student referrals.

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KNC piano school receives all of its business from student referrals. [#permalink] New post   07 Oct 2023, 08:02
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KNC piano school receives all of its business from student referrals. The graph shown is a bar graph with eight bars, each representing the number of referrals received by KNC piano school from its new students. The students received follow-up calls anywhere from 1 to 8 days after signing up with the piano school. The students were grouped by follow-up call timing, and the number of referrals was recorded for each group over a 1-year period.

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Select the best answer to fill in the blanks in each of the statements based on the data shown in the graph.

The number of referrals made by students who received a follow-up call 5 days after signing up at the school is closest to % of the number of referrals made by students who received a follow-up call 1 day after signing up at the school.

Based on the information shown in the graph, if the school wishes to receive at least 25 referrals in a 1-year period, it should make follow-up calls no later than day(s) after students sign up at the school.

Show SpoilerAdditional Question
The relationship between the number of days before the follow-up call and the number of referrals is __________.

A. no relationship
B. negative
C. positive


Data Insights (DI) Quiz-II 2023 [Question #2, Date: Oct-07-2023] [Click here for Details]
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   07 Oct 2023, 10:00
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A. The number of referrals made by students who received a follow-up call 5 days after signing up at the school is closest to _________ % of the number of referrals made by students who received a follow-up call 1 day after signing up at the school.

On basis of the stimulus,
number of referrals made by students who received a follow-up call 5 days after signing up at the school = 24
number of referrals made by students who received a follow-up call 1 day after signing up at the school = 40

hence, 24/40 = 0.6 = 60%

60 is the answer

B. Based on the information shown in the graph, if the school wishes to receive at least 25 referrals in a 1-year period, it should make follow-up calls no later than ____________ after students sign up at the school.

On basis of the stimulus,
Referrals < 25 for 5 / 6 / 7 / 8 days after follow-up

hence, follow-up calls no later than 4 days after students sign up at the school

4 days is the answer
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   07 Oct 2023, 10:04
Number of referrals made after 5 days / # of referrals after 1 day= 24/40*100= 60%
It should not call people after 4 days because from 5th day onwards number of referrals reduce
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   07 Oct 2023, 22:25
60%, 4

1. The graph is labeled with "days before follow-up call," then it represents data collected before the follow-up calls took place. To find the number of referrals made by students who received a "follow-up call 5 days after signing up", we should look for the bar that represents "5 days before follow-up call" because it reflects data collected 5 days into the students' enrolment, which is the same as receiving a "follow-up call 5 days after signing up."

Now let us take a look at bar 1 and bar 5,
40 x y% = 24, y = 60%

2. We are asked at least 25 referrals, which tells us referrals >= 25. Bar 4,3,2,1 satisfy this condition.
Answer 4 days
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   08 Oct 2023, 01:55
Part 1: The number of referrals made by students who received a follow-up call 5 days after signing up at the school is closest to ____________ % of the number of referrals made by students who received a follow-up call 1 day after signing up at the school.

The number of referrals made by students who received a follow-up call 5 days after signing up at the school = 24

The number of referrals made by students who received a follow-up call 1 day after signing up at the school = 40

We need to figure out: 24 is WHAT % of 40?
i.e 24 = (x/100)*40

Solving for x we get 60%.

Part 2: Based on the information shown in the graph, if the school wishes to receive at least 25 referrals in a 1-year period, it should make follow-up calls no later than ____________ day(s) after students sign up at the school.

Looking at the bar corresponding to 4 days after singing up and 5 days after singing up, we see that number of referrals in 4 days after singing up = 26 and number of referrals in 5 days after singing up = 24.

Therefore, If the the school wishes to receive at least 25 referrals in a 1-year period, it should make follow-up calls no later than 4 day(s) after students sign up at the school.
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   08 Oct 2023, 08:03
Q1) The number of referrals made by students who received a follow-up call 5 days after signing up at the school is 25, which is 500% of the number of referrals made by students who received a follow-up call 1 day after signing up at the school (5). So the answer is 60%.

Q2) To receive at least 25 referrals, the school should make follow-up calls no later than 4 days after students sign up at the school, because 25 is the number of referrals made by students who received a follow-up call 5 days after signing up. So the answer is 4.

Q3) The relationship between the number of days before the follow-up call and the number of referrals is **positive**. This is because the number of referrals increases as the number of days before the follow-up call increases. For example, students who received a follow-up call 5 days after signing up made 25 referrals, while students who received a follow-up call 8 days after signing up made 40 referrals. So the answer is C (Positive)
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Re: KNC piano school receives all of its business from student referrals. [#permalink] New post   08 Oct 2023, 08:45
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The answer to the first question is C. The number of referrals made by students who received a follow-up call 1 day after signing up at the school is 40. The number of referrals made by students who received a follow-up call 5 days after signing up at the school is approximately 24, which is closest to 60% of 40.

Answer: C

The answer to the second question is A. If the school wishes to receive at least 25 referrals in a 1-year period, it should make follow-up calls no later than 4 days after students sign up at the school. If the company waits 5 days or longer, it is likely to receive fewer than 25 student referrals per year.

Answer: A

Additional Question

The relationship between the number of days before the follow-up call and the number of referrals is negative. As the number of days before the follow-up call increases, the number of referrals decreases.

Answer: B
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Re: KNC piano school receives all of its business from student referrals. [#permalink]
08 Oct 2023, 08:45
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