Question

Question Completion Status: Construct a box-and-whisker plot for the given data. The weekly salaries (in dollars) of 24 randomly selected employees of a company are shown below. 310 320 450 460 470 500 520 540 580 600 650 700 710 840 870 900 1000 1200 1250 1300 1400 1720 2500 3700 310 505 310 310 310 500 705 700 1237.5 510 500 705 700 1200 3700 1225 3700 1250 3700 3700 Save​

Answer 1

To construct a box-and-whisker plot for the given data, arrange the data in ascending order and find the median, lower quartile, and upper quartile. Plot these values on a number line and draw a box and whisker to represent the data.

Step-by-step explanation:

To construct a box-and-whisker plot for the given data, follow these steps:

1. Arrange the data in ascending order: 310, 310, 310, 310, 320, 450, 460, 470, 500, 500, 505, 510, 520, 540, 580, 600, 650, 700, 700, 705, 705, 840, 870, 900, 1000, 1200, 1200, 1225, 1237.5, 1250, 1250, 1300, 1400, 1720, 2500, 3700, 3700, 3700, 3700, 3700.
2. Find the median, which is the middle value of the data set. In this case, it is the 20th value, which is 705.
3. Find the lower quartile, which is the median of the lower half of the data. In this case, it is the 10th value, which is 510.
4. Find the upper quartile, which is the median of the upper half of the data. In this case, it is the 30th value, which is 1250.
5. Plot the minimum value (310), the lower quartile (510), the median (705), the upper quartile (1250), and the maximum value (3700) on a number line.
6. Draw a box, but the ends of the box at the lower quartile and the upper quartile, and draw a line (whisker) from the box to the minimum and maximum values.