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10 Dec 2019, 02:09
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Difficulty:
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Question Stats:
89% (01:04) correct
11%
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wrong
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A research report states that the average (arithmetic mean) of 120 measurements was 72.5, the greatest of the 120 measurements was 92.8, and the range of the 120 measurements was 51.6.
The information given above is sufficient to determine the value of which of the following statistics?
I. The least of the 120 measurements
II. The median of the 120 measurements
III. The sum of the 120 measurements
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
Are You Up For the Challenge: 700 Level Questions
The information given above is sufficient to determine the value of which of the following statistics?
I. The least of the 120 measurements
II. The median of the 120 measurements
III. The sum of the 120 measurements
A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
Are You Up For the Challenge: 700 Level Questions
10 Dec 2019, 04:21
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Arithmetic mean=\(\frac{( a_1+a_2+...+a_n)}{120} = 72.5\)
—> \(a_n = 92.8\)
The range = \(a_n —a_1 = 51.6 \)
I. The least of the 120 measurements
—> \(a_1 = a_n —51.6 = 31.2\) (Yes)
II. The median of the 120 measurements— we don’t know whether the measurements are consecutive numbers. (No)
III. The sum of the 120 measurements
—> \(a_1+a_2+...+a_n= 120*72.5\) (yes)
We could find only I and III.
The answer is D
Posted from my mobile device
—> \(a_n = 92.8\)
The range = \(a_n —a_1 = 51.6 \)
I. The least of the 120 measurements
—> \(a_1 = a_n —51.6 = 31.2\) (Yes)
II. The median of the 120 measurements— we don’t know whether the measurements are consecutive numbers. (No)
III. The sum of the 120 measurements
—> \(a_1+a_2+...+a_n= 120*72.5\) (yes)
We could find only I and III.
The answer is D
Posted from my mobile device
