27.08.2021

The line plot shows the quiz scores of several students. What is the range of the quiz scores?

. 5

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Mathematics
Step-by-step answer
P Answered by PhD

There is no overlap between the data.

Step-by-step explanation:

The other statements are not true.

When you draw out the dot plot, you will see that the range for round is greater than the range for round 1, directly contradicting choice 4. You will also notice that the scores for round 1 are more scattered towards the higher scoring points, while round 2 scores are all below 8. Thus, choice 2 and 3 are not right so choice 1 is the correct choice.

Mathematics
Step-by-step answer
P Answered by PhD

The inference that can be made using the dot plot is:

    The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

Round 1:

Score                Frequency

  1                          0

  2                          2

  3                          3

  4                          2  

  5                          1

Hence, the minimum score of Round 1 is: 2

maximum score is: 5

Hence, Range=Maximum value-Minimum score

                      =5-2

                       =3

Similarly, Round-2

Score                Frequency

  1                          0

  2                         0

  3                          0

  4                          4  

  5                          4

Hence, the minimum score of Round 1 is: 4

maximum score is: 5

Hence, Range=Maximum value-Minimum score

                      =5-4

                       =1

The scores of round 2 are higher than round-1.

Since round 2 have a higher frequency for higher scores as compared to round-1.

Hence, Range of round 1 is greater than the range of Round-2.

 

Mathematics
Step-by-step answer
P Answered by PhD

The range of round 1 is greater than the round 2 range.

Round 1: 9 - 5 = 4

Round 2: 7 - 5 = 2

Therefore, Round 1's range is greater by 2

This is the only one that works. It is not A, because there is overlap (5-7)

The others do not work, because they contradict themselves.

hope this helps

Mathematics
Step-by-step answer
P Answered by PhD

Option: D is the correct answer.

        D. The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

Round-1

       Score                Frequency          Total

         5                           1                       5×1=5

         6                           4                       6×4=24

         7                            2                      7×2=14

         8                            2                      8×2=16

         9                            1                       9×1=9

                                             

                                              Total--      68

Hence, total score obtained in Round 1 are: 68

Round-2

       Score                Frequency          Total

         5                           3                      5×3=15

         6                           1                       6×1=6

         7                            6                      7×6=42

                                             

                                              Total--      63

Hence, total score obtained in Round 1 are: 63

Hence, Round-1 scores were higher than Round-2 scores,=.

Hence, option: B and C are discarded.

Also, there is a overlap in the data ( since there are some scores which are obtained in both the rounds)

Hence, option: A is discarded.

Now,

Range of round-1 score is:

Maximum score-Minimum score

=9-5

=4

Hence, Range of Round-1 is: 4

Similarly Range of Round-2 is: 2

( Since, Maximum score in round-2 is: 7

and Minimum score is: 2

Hence, Range=7-5=2  )

                Hence, the correct answer is:

       D. The range of round 1 is greater than the round 2 range.

Mathematics
Step-by-step answer
P Answered by PhD

Option: D is the correct answer.

        D. The range of round 1 is greater than the round 2 range.

Step-by-step explanation:

Round-1

       Score                Frequency          Total

         5                           1                       5×1=5

         6                           4                       6×4=24

         7                            2                      7×2=14

         8                            2                      8×2=16

         9                            1                       9×1=9

                                             

                                              Total--      68

Hence, total score obtained in Round 1 are: 68

Round-2

       Score                Frequency          Total

         5                           3                      5×3=15

         6                           1                       6×1=6

         7                            6                      7×6=42

                                             

                                              Total--      63

Hence, total score obtained in Round 1 are: 63

Hence, Round-1 scores were higher than Round-2 scores,=.

Hence, option: B and C are discarded.

Also, there is a overlap in the data ( since there are some scores which are obtained in both the rounds)

Hence, option: A is discarded.

Now,

Range of round-1 score is:

Maximum score-Minimum score

=9-5

=4

Hence, Range of Round-1 is: 4

Similarly Range of Round-2 is: 2

( Since, Maximum score in round-2 is: 7

and Minimum score is: 2

Hence, Range=7-5=2  )

                Hence, the correct answer is:

       D. The range of round 1 is greater than the round 2 range.

Mathematics
Step-by-step answer
P Answered by PhD

The range of round 1 is greater than the round 2 range.

Round 1: 9 - 5 = 4

Round 2: 7 - 5 = 2

Therefore, Round 1's range is greater by 2

This is the only one that works. It is not A, because there is overlap (5-7)

The others do not work, because they contradict themselves.

hope this helps

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