Final answer:
The measures of center for the given math quiz results are the mean (68.6), median (69), and mode (55).
Step-by-step explanation:
To calculate the measures of center for the math quiz results: 55, 68, 55, 70, 62, 71, 81, 82, 63, and 79, we need to find the mean (average), median, and mode.
Calculating the Mean
Add all the quiz scores together and divide by the number of scores:
(55 + 68 + 55 + 70 + 62 + 71 + 81 + 82 + 63 + 79) ÷ 10 = 686 ÷ 10 = 68.6
The mean score is 68.6.
Calculating the Median
First, arrange the scores in ascending order: 55, 55, 62, 63, 68, 70, 71, 79, 81, 82. The median is the middle number. Since there is an even number of scores, we take the average of the two middle scores:
(68 + 70) ÷ 2 = 138 ÷ 2 = 69
The median score is 69.
Calculating the Mode
The mode is the number that appears most frequently. In this case, it is 55 because it appears twice.
The mode score is 55.