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What is the median value rolled by the white die? (Note: Die is the

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What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 23 Jul 2015, 23:39
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Question Stats:

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What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.


Attachment:
ch7.sec11.bar2.gif
ch7.sec11.bar2.gif [ 2.57 KiB | Viewed 1740 times ]

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What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 02:21
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Bunuel wrote:
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What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.


Attachment:
ch7.sec11.bar2.gif



Based the graph the following are the sequences:

Number 1 is rolled 3 times, number 2 is rolled 4 times,umber 3 is rolled 4 times, number 4 is rolled 3 times, number 5 is rolled 3 times and number 6 is rolled 3 times for a total of 20 numbers.

or in other words: 1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6

Thus the median = \(\frac{T_{10}+T_{11}}{2}\) = \(\frac{3+3}{2} = 3\). B is the correct answer.
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What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 04:23
Bunuel wrote:
Image
What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.

Attachment:
ch7.sec11.bar2.gif


Since the question asks for the median, you can ignore the frequency. Median = (3+4) / 2 = 3.5

Answer C

>> got it, wrong answer ... :evil:

Correct would be 3
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Re: What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 04:27
reto wrote:
Bunuel wrote:
Image
What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.

Attachment:
ch7.sec11.bar2.gif


Since the question asks for the median, you can ignore the frequency. Median = (3+4) / 2 = 3.5

Answer C


reto, why will you ignore the frequency? Frequency will determine what value will you get for the 10th and the 11th terms.

As mentioned in my post above, the distribution becomes:

Number 1 is rolled 3 times, number 2 is rolled 4 times,umber 3 is rolled 4 times, number 4 is rolled 3 times, number 5 is rolled 3 times and number 6 is rolled 3 times for a total of 20 numbers.

or in other words: 1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6

Median will be the average of the 2 terms mentioned in red.
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Re: What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 04:48
The values rolled by the white die are (3,4,4,3,3,3). Hence, the median of (3,3,3,3,4,4) would be (3+3)/2 = 3. Ans (B).
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What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 04:52
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FireStorm wrote:
The values rolled by the white die are (3,4,4,3,3,3). Hence, the median of (3,3,3,3,4,4) would be (3+3)/2 = 3. Ans (B).


What you are quoting are not the values rolled but the frequencies.

Values rolled are from 1-6 while frequencies for white die are 3 or 4 for the above values. The question is asking about the median VALUE and not frequency!
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Re: What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 24 Jul 2015, 11:36
1
Bunuel wrote:
Image
What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.


Attachment:
ch7.sec11.bar2.gif



from graph: white dice gets
number 1, 3 times
number 2, 4 times
number 3, 4 times
number 4, 3 times
number 5, 3 times
number 6, 3 times

total we have 20 times, hence median will be avg. of number on 10th and 11th time
Aces. order: 1,1,1,2,2,2,2,3,3,3,3,4,4,4,5,5,5,6,6,6

hence, median = 3

Ans. (B) 3.0
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Re: What is the median value rolled by the white die? (Note: Die is the  [#permalink]

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New post 26 Jul 2015, 11:21
Bunuel wrote:
Image
What is the median value rolled by the white die? (Note: Die is the singular of dice.)

(A) 2.5
(B) 3.0
(C) 3.5
(D) 4.0
(E) 4.5


Kudos for a correct solution.


Attachment:
ch7.sec11.bar2.gif


800score Official Solution:

Look at just the white bars. Since there were 20 rolls, an even number, the median will be the sum of the 2 middle values divided by 2.

1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6

Since the two values are the same, the median is 3.

The correct answer choice is (B).
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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