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On a given math test with a maximum possible score of 100
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30 Jul 2018, 09:03

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Question Stats:

On a given math test with a maximum possible score of 100 points, the vast majority of the 149 students in a class scored either a perfect score or a zero, with only one student scoring within 5 points of the mean. Which of the following logically follows about dataset T, made up of the scores on the test?

Indicate all such statements.

A. Dataset T is not normally distributed.

B. The range of dataset T would be significantly smaller if the scores had been more evenly distributed.

C. The mean of dataset T is not equal to the median.

Indicate all such statements.

A. Dataset T is not normally distributed.

B. The range of dataset T would be significantly smaller if the scores had been more evenly distributed.

C. The mean of dataset T is not equal to the median.

Re: On a given math test with a maximum possible score of 100
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02 Jan 2019, 17:59

Why not C?

Re: On a given math test with a maximum possible score of 100
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02 Jan 2019, 18:56

2

Expert Reply

mwatt wrote:

Why not C?

There are odd number of people so median will be (149+1)/2=75..

So 75th term is the median here...

We can always have 74 terms 0 and 74 terms 100, so mean is 50..

The 75th term can be 50 itself..

It is given one term is within 5 from mean..

Within MEAN means it can be mean itself too.

Re: On a given math test with a maximum possible score of 100
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02 Jan 2019, 20:04

1

chetan2u wrote:

mwatt wrote:

Why not C?

There are odd number of people so median will be (149+1)/2=75..

So 75th term is the median here...

We can always have 74 terms 0 and 74 terms 100, so mean is 50..

The 75th term can be 50 itself..

It is given one term is within 5 from mean..

Within MEAN means it can be mean itself too.

Ah, I think my error was in thinking "within 5 from mean" meant "exactly five from the mean" rather than "five or less away from the mean".

Re: On a given math test with a maximum possible score of 100
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14 Jul 2019, 04:09

sandy wrote:

On a given math test with a maximum possible score of 100 points, the vast majority of the 149 students in a class scored either a perfect score or a zero, with only one student scoring within 5 points of the mean. Which of the following logically follows about dataset T, made up of the scores on the test?

Indicate all such statements.

A. Dataset T is not normally distributed.

B. The range of dataset T would be significantly smaller if the scores had been more evenly distributed.

C. The mean of dataset T is not equal to the median.

Indicate all such statements.

A. Dataset T is not normally distributed.

B. The range of dataset T would be significantly smaller if the scores had been more evenly distributed.

C. The mean of dataset T is not equal to the median.

Better if the explanation is set up with pictures.

Re: On a given math test with a maximum possible score of 100
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20 Jun 2024, 05:47

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