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 = Total / Number of quizzes. Noah's total is 522 and number of quizzes is 6.
Mean = \( \frac{522}{6}=87 \)

Step2: Calculate Noah's median

For an even - numbered data set (6 values), median is the average of the 3rd and 4th values. Ordered scores: 84, 85, 85, 86, 90, 92.
Median=\( \frac{85 + 86}{2}=\frac{171}{2}=85.5 \)

Step3: Find Noah's mode

Mode is the most frequently occurring value. In 84, 85, 85, 86, 90, 92, 85 occurs twice.
Mode = 85

Step4: Calculate Gabriel's mean

Mean = Total / Number of quizzes. Gabriel's total is 523 and number of quizzes is 6.
Mean=\( \frac{523}{6}\approx87.17 \)

Step5: Calculate Gabriel's median

For an even - numbered data set (6 values), median is the average of the 3rd and 4th values. Ordered scores: 82, 85, 86, 86, 90, 94.
Median=\( \frac{86+86}{2}=86 \)

Step6: Find Gabriel's mode

Mode is the most frequently occurring value. In 82, 85, 86, 86, 90, 94, 86 occurs twice.
Mode = 86

Answer:

Noah: Mean = 87, Median = 85.5, Mode = 85
Gabriel: Mean≈87.17, Median = 86, Mode = 86