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In a population of chickens, the average (arithmetic mean) w

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souravp94
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In a population of chickens, the average (arithmetic mean) w [#permalink] New post   Updated on: 03 Feb 2020, 12:47
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In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?

Indicate all weights.

A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2
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B,C,D,E

Originally posted by souravp94 on 03 Feb 2020, 09:32.
Last edited by Carcass on 03 Feb 2020, 12:47, edited 1 time in total.
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Re: In a population of chickens, the average (arithmetic mean) w [#permalink] New post   03 Feb 2020, 09:36
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souravp94 wrote:
In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?

Indicate all weights.

A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2


Mean weight = 6.3 lb
Standard deviation = 1.2 lb

Thus, 1.5 times the standard deviation = 1.5 * 1.2 = 1.8 lb

Thus, 1.5 times the standard deviation from the mean refers to the upper limit as 6.3 + 1.8 = 7.1 lb and the lower limit as 6.3 - 1.8 - 4.5 lb

Thus, we need to determine the values between 4.5 lb and 7.1 lb

Answer: B, C, D, E
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Re: In a population of chickens, the average (arithmetic mean) w [#permalink] New post   30 Jun 2020, 04:25
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Actually, the upper limit should be 6.3 + 1.8 = 8.1 and not 7.1. In this case options B-G lie within the range of 1.5 standard deviations.
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Re: In a population of chickens, the average (arithmetic mean) w [#permalink] New post   12 Oct 2020, 16:13
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I guess the answers need to be revised as the upper limit stands to 8.1.
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Re: In a population of chickens, the average (arithmetic mean) w [#permalink] New post   08 Nov 2024, 11:50
sujoykrdatta wrote:
souravp94 wrote:
In a population of chickens, the average (arithmetic mean) weight is 6.3 pounds, and the standard deviation is 1.2 pounds. Which of the following weights (in pounds) are within 1.5 units of standard deviation of the mean?

Indicate all weights.

A)4.4
B)4.6
C)5.1
D)5.2
E)6.9
F)7.6
G)7.7
H)8.2


Mean weight = 6.3 lb
Standard deviation = 1.2 lb

Thus, 1.5 times the standard deviation = 1.5 * 1.2 = 1.8 lb

Thus, 1.5 times the standard deviation from the mean refers to the upper limit as 6.3 + 1.8 = 7.1 lb and the lower limit as 6.3 - 1.8 - 4.5 lb

Thus, we need to determine the values between 4.5 lb and 7.1 lb

Answer: B, C, D, E


Limits are 4.5 and 8.1.
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Re: In a population of chickens, the average (arithmetic mean) w [#permalink]
08 Nov 2024, 11:50
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