Final answer:
To calculate the five number summary for Mrs. Tinney’s class, arrange the scores in ascending order and determine the minimum, Q1, median, Q3, and maximum. Use these values to draw a box and whisker plot. Mrs. Tinney's class scores are more consistent based on the smaller range of scores compared to Mrs. Aguiar's class. The mean and median of Mrs. Tinney's class suggest approximately symmetric distribution.
Step-by-step explanation:
To calculate the five number summary for Mrs. Tinney’s class, we need to arrange the scores in ascending order:
0, 16, 72, 78, 80, 85, 88, 95, 98, 100
The five number summary consists of the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value:
Minimum: 0
Q1: 72
Median (Q2): 85
Q3: 95
Maximum: 100
To draw the box and whisker plot, we need to plot the minimum, Q1, median, Q3, and maximum values on a number line. The box will be created by connecting Q1 and Q3, with the median represented as a line inside the box. The whiskers will extend from the box to the minimum and maximum values.
Based on Mrs. Aguiar's class having a five number summary of 30, 50, 80, 90, 95, and Mrs. Tinney's class having a five number summary of 0, 72, 85, 95, 100, we can say that Mrs. Tinney's class scores are more consistent. This is because the range between the minimum and maximum values is smaller for Mrs. Tinney's class (100 - 0 = 100) compared to Mrs. Aguiar's class (95 - 30 = 65).