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kiran120680
Moderator - Masters Forum
Joined: 18 Feb 2019
Last visit: 27 Jul 2022
Posts: 706
Given Kudos: 276
Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
01 May 2019, 09:26
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
54% (02:12) correct
46%
(02:07)
wrong
based on 578
sessions
History
Date
Time
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Not Attempted Yet
The sales department of a car manufacturing company is rewarding its top 10 sales personnel. In the period being considered for the reward, Shane sold 175 cars, which was 2 standard deviation away from the average (arithmetic mean) number of cars sold by the top 10 sales personnel. Glenn sold 130 cars, which was 1 standard deviations away from the average (arithmetic mean) number of cars sold by the top 10 sales personnel. Based on this information, how many possible values can the standard deviation of the number of cars sold by the top 10 sales personnel take?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
12 May 2019, 03:08
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Let AM= A and Standard deviation is x
Either A+2x=175 or A-2x=175
Either A+x=130 or A-x=130
We could have 4 possible combinations
1 A-2x=175 and A+x=130>>>>gives -ve value of x
2. A-2x=175 and A-x=130>>>>gives -ve value of x
3. A+2x=175 and A+x=130>>>Both A =85 and x=45
4. A+2x=175 and A-x=130>>> Both A =145 and x= 15
2 values of A possible
Either A+2x=175 or A-2x=175
Either A+x=130 or A-x=130
We could have 4 possible combinations
1 A-2x=175 and A+x=130>>>>gives -ve value of x
2. A-2x=175 and A-x=130>>>>gives -ve value of x
3. A+2x=175 and A+x=130>>>Both A =85 and x=45
4. A+2x=175 and A-x=130>>> Both A =145 and x= 15
2 values of A possible
10 Jun 2021, 01:38
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kiran120680
Let SD be x
For Shane there can be 2 cases:
1) Avg = 175 - 2x
2) Avg = 175+ 2x
For Glenn there can again be 2 cases:
1) Avg = 130 - x
2) Avg = 130 + x
This gives rise to 4 potential equations that we can solve to get x (i.e SD)
1) 175 - 2x = 130 - x
here, x = 45
2) 175 - 2x = 130 + x
here, x = 15
3) 175 + 2x = 130 + x
here x = -45
Not Possible as the number of cars sold cannot be negative and thus the average cannot be negative
4) 175 + 2x = 130 - x
here, x = -15
Not Possible as the number of cars sold cannot be negative and thus the average cannot be negative
In total, we have two possible values of x = 45 and 15
Answer - 2 (Option C)
Hope this helped!
