Question

Consider the dot plots showing 9 scores on a 10-question trivia game for two students, Noah and Jada. The dot plot for Noah's scores begins at 1, with the number of dots above each increment being 0, 0, 1, 2, 3, 2, 1. The dot plot for Jada's scores begins at 1, with the number of dots above each increment being 1, 2, 3, 2, 1, 0, 0. Select all the statements that must be true based on this information.

a) Noah and Jada each answered all 10 questions correctly.
b) Noah's highest score is greater than Jada's highest score.
c) Jada's lowest score is 1.
d) The range of Noah's scores is greater than the range of Jada's scores.
e) Noah and Jada each scored the same on at least one question.

Answer 1

The analysis of the dot plots reveals that Jada's lowest score is 1, true; Noah's highest score is not greater than Jada's, false; the range of Noah's scores is greater than Jada's, true; Noah and Jada have common scores on some questions, true.

Step-by-step explanation:

Considering the given dot plots for Noah's and Jada's trivia game scores, we can break down the provided statements:

1. Jada's lowest score is 1, which is true based on the dot plot information given.
2. Noah's highest score is greater than Jada's highest score, which is false since both have scores reaching up to 7.
3. The range of Noah's scores is greater than the range of Jada's scores, which is true since Noah's scores range from 3 to 7, while Jada's scores range from 1 to 6.
4. Noah and Jada each scored the same on at least one question, which is true considering they both have scores in some common ranges like 4, 5, and 6.