The first step when you want to graph the data points into a box and whisker plot, arrange the data points from lowest to highest:
<span>28,29,29,31,34,39,41,46,47,49,52,54 </span> Next, find the median of the data. This is the middle value. Since it contains an even number of 12, take the average of the 2 middle values.
Median = (39+41/2 = 40
Now, divide the data down to the middle. The groups would be:
28,29,29,31,34,39 and 41,46,47,49,52,54
Now, take the median of each group. For the lower half, the median is equal to (29+31)/2 = 30. For the upper half, the median is equal to (47+49)/2 = 48.
Therefore, the box starts from 30 and ends at 48. Then, a line is drawn in between at the median 40. Then, the whiskers are added by drawing lines from the lowest at 28 to the start of the box at 30, and from the end of the box at 48 to the highest value at 54.
Hence, the box and whisker plot for this data is letter A or the first choice.
The equation used to find the equation for a line with two intercepts is called point slope form. , where and are the intercept points and m is the slope.
The line that passes through the points (-2,4) and (0,6) has a slope of 1, and a y intercept of 6. The equation to the first line is y = x + 6. and perpendicular lines always have the opposite, reciprocal slope of the other line. So the slope for the second line would be -1. A line with the slope of -1 and a point of (5,4) would contain the points (5,4) , (4,5) , (3,6) , (2,7) , (1,8) , and (0,9) , which is the y intercept for the second line. So the equation for the second line would be y = -x + 9