Question

The dot plots below show the scores for a group of students who took two rounds of a quiz:

Which of the following inferences can be made using the dot plot?

A. There is no overlap between the data.
B. Round 1 scores were lower than round 2 scores.
C. Round 2 scores were higher than round 1 scores.
D. The range of round 1 is greater than the round 2 range.

Answer 1

Option C is correct option, Round 2 scores were higher than round 1 scores.

Answer 2

Option: D is the correct answer.

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

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

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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

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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.