Question

question: 11 the dot plots show 9 scores on a 10 - question trivia game for two students. noahs scores jadas scores the statement that must be true. noahs scores have a greater variability than jadas scores. the mean of noahs scores is less than the mean of jadas scores. noah scored better than jada on ry assignment. g only noahs scores, the me i to the median.

Explanation:

Step1: Analyze variability

Variability can be observed by the spread of data points. Noah's scores range from 3 - 6 and Jada's from 2 - 5. Noah's scores have a greater range (6 - 3=3) compared to Jada's (5 - 2 = 3), but looking at the distribution, Noah's scores are more spread - out.

Step2: Analyze mean

To find the mean, we sum all scores and divide by the number of scores. For Noah, assume scores based on dot - plot: (3 + 4+4 + 5+5 + 5+6) = 32, mean $\bar{x}_{Noah}=\frac{32}{7}\approx4.57$. For Jada, assume scores: (2 + 3+3 + 4+5) = 17, mean $\bar{x}_{Jada}=\frac{17}{5} = 3.4$. But we don't have all data points precisely counted as per the dot - plot, so we can't be sure about the means.

Step3: Analyze individual performance

We can't say Noah scored better on every assignment as Jada may have had some high - scoring assignments where Noah had lower scores.

Step4: Analyze mean and median for Noah

For Noah's scores, if we order them: 3, 4, 4, 5, 5, 5, 6. Median is 5. Mean $\bar{x}_{Noah}\approx4.57$, they are not equal.

Answer:

Noah's scores have a greater variability than Jada's scores.