This question is tougher than you think so answer it carefully. Many people have

Question

This question is tougher than you think so answer it carefully. Many people have answered this question wrong. Please give your logic and rational as to how you answered the question.

2. Without doing any calculations, match the dot plot to the corresponding mean and standard deviation on the right. 13 16 13 (C) 1 3 5 7 8 9 10 11 12 14 15 17 18 19 20 7 10 12 13 15 16 17 18 19 20 mean 10.8 standard deviation 3.2 mean 6.6, standard deviation 4.5 mean 10.6, standard deviation 6.2 mean 9.5, standard deviation 4.1

Explanation / Answer

Solution: Here we need to observe the pattern of dot plat.

Lets start with Dot Plot (A) :

Here we can notice that spread of dots is more than other dot plot that is dots are approximately uniform spread from 1 to 20. that is standard deviation should be very high. as we compair higher standard deviation is 6.2

Hence

( A ) ===> ( c )

Now for Dot plot (D) :

Here we can see that dots are very close to each othr as compair to other dot plots That is standard deviation should be small and all values are are saperated in two group from 11 that is mean should be near to 11.

Hence option (a) matches with this dot plot because standard deviation less and mean near to 11.

(D ) == > (a)

Now for ( B ) & ( C ) :

We can see that dots for ( B ) dot plot are more on right side mins close to 2,3,4,5,6 so that mean value for this should be very less and this matches with (b) because ( b ) has less mean value so

(B)====> (b)

& now only one is remaining

& hence ( C ) == > (d)

ans :

( A ) ===> ( c )

(B)====> (b)

( C ) == > (d)

(D ) == > (a)

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