Question

noah and gabriel are in the same english class. they have taken 6 quizzes so far. find the measures of center for each of the students. noahs scores: 84, 85, 85, 86, 90, 92 total of 522 gabriels scores: 82, 85, 86, 86, 90, 94 total of 523 what are noahs mean, median, and mode? what are gabriels mean, median, and mode?

Explanation:

Step1: Calculate Noah's mean

Mean = $\frac{84 + 85+85+86+90+92}{6}=\frac{522}{6}=87$

Step2: Calculate Noah's median

Arrange scores in ascending order: 84, 85, 85, 86, 90, 92. Median = $\frac{85 + 86}{2}=85.5$

Step3: Find Noah's mode

The mode is the most - frequent value. For Noah, the mode is 85.

Step4: Calculate Gabriel's mean

Mean = $\frac{82+85+86+86+90+94}{6}=\frac{523}{6}\approx87.17$

Step5: Calculate Gabriel's median

Arrange scores in ascending order: 82, 85, 86, 86, 90, 94. Median = $\frac{86 + 86}{2}=86$

Step6: Find Gabriel's mode

The mode is the most - frequent value. For Gabriel, the mode is 86.

Answer:

Noah's mean, median, mode: 87, 85.5, 85
Gabriel's mean, median, mode: 87.17, 86, 86