Question

cool down: why graphical representations? a large school system summarizes the number of teachers at 51 schools in the area. minimum: 20 teachers maximum: 110 teachers median: 65 teachers q1: 40 q3: 95 1. create a box - plot that shows this information. 2. create a histogram that shows this information. algebra 1 unit 1 lesson 3

Explanation:

Step1: Identify key - values for box - plot

Minimum = 20, Q1 = 40, Median = 65, Q3 = 95, Maximum = 110.

Step2: Draw box - plot

On the number line from 0 to 120, mark a point for the minimum (20). Draw a box from Q1 (40) to Q3 (95) with a vertical line inside the box at the median (65). Draw whiskers from the box to the minimum and maximum values.

Step3: Create frequency table for histogram

Teachers per School	Frequency
30 - 40	7
40 - 50	5
50 - 60	6
60 - 70	6
70 - 80	4
80 - 90	2
90 - 100	7
100 - 110	8
110 - 120	1

Step4: Draw histogram

On the x - axis, label the intervals of teachers per school (20 - 30, 30 - 40, etc.). On the y - axis, label the frequency. For each interval, draw a bar with a height equal to the frequency of that interval.

Answer:

1. Box - plot is drawn with minimum at 20, Q1 at 40, median at 65, Q3 at 95, and maximum at 110.
2. Histogram is drawn with bars corresponding to the frequencies in each interval of teachers per school.