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# Hospital H conducted a survey of two groups of patients who were enrol

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Intern
Joined: 07 Oct 2015
Posts: 12
Hospital H conducted a survey of two groups of patients who were enrol  [#permalink]

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19 Jun 2016, 15:15
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5% (low)

Question Stats:

86% (01:23) correct 14% (01:35) wrong based on 220 sessions

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Hospital H conducted a survey of two groups of patients who were enrolled in an exercise rehabilitation program last month. Was the range of the numbers of days that the patients in the first group exercised last month equal to the range of the numbers of days that the patients in the second group exercised last month?

(1) For each group, the number of patients enrolled was 21 and the least number of days that a patient exercised last month was 5.

(2) For each group, the average (arithmetic mean) number of days that the patients exercised last month was 13.
Marshall & McDonough Moderator
Joined: 13 Apr 2015
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Location: India
Hospital H conducted a survey of two groups of patients who were enrol  [#permalink]

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20 Jun 2016, 02:22
1
Question: Is Range1 = Range2?

St1: Number of patients = 21 and Number of days $$\geq {5}$$
If the patients in both groups exercised for 5 days then Range = 0
If the patients exercised for different number of days then range in both the groups may be different from each other

St2: Average number of days = 13 --> Clearly insufficient. Average of 13 can be obtained in different ways. So range of both the groups may be same or different

Combining St1 and St2: Number of days $$\geq {5}$$ and Average number of days = 13 --> Still insufficient as we cannot obtain a distinct answer.

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Re: Hospital H conducted a survey of two groups of patients who were enrol  [#permalink]

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20 Jun 2016, 08:25
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Let range of first group = R1
and range of second group = R2
is R1= R2 ?
(1) For each group, the number of patients enrolled was 21 and the least number of days that a patient exercised last month was 5.
Total number of patients in group 1 and 2 is 21 each and least number = 5
Not sufficient as we can't determine the maximum number for each group
(2) For each group, the average (arithmetic mean) number of days that the patients exercised last month was 13.
Average of group 1 = Average of group 2 = 13
We have no information about the min and max value .
Not sufficient
Combining 1 and 2 , we get
Still not sufficient as we have no information about max value of the group 1 and 2 .
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Re: Hospital H conducted a survey of two groups of patients who were enrol  [#permalink]

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10 Oct 2018, 20:40
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Re: Hospital H conducted a survey of two groups of patients who were enrol   [#permalink] 10 Oct 2018, 20:40
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