use the number line to identify the least value, first quartile, median, third quartile, and greatest value…

Explanation:

Step1: Arrange data in ascending order

22, 26, 28, 30, 32, 35, 35, 42, 45, 49, 50, 62

Step2: Find the least value

The least value is the smallest number in the data - set. So, the least value is 22.

Step3: Find the number of data points

There are (n = 12) data points.

Step4: Calculate the median

Since (n = 12) (an even - numbered data set), the median is the average of the (\frac{n}{2})th and ((\frac{n}{2}+1))th ordered values. (\frac{n}{2}=6) and (\frac{n}{2}+1 = 7). The 6th value is 35 and the 7th value is 35. Median(=\frac{35 + 35}{2}=35).

Step5: Calculate the first quartile

The first quartile (Q_1) is the median of the lower half of the data. The lower half of the data is 22, 26, 28, 30, 32, 35. Since there are 6 data points (an even - numbered set), (Q_1=\frac{28+30}{2}=29).

Step6: Calculate the third quartile

The third quartile (Q_3) is the median of the upper half of the data. The upper half of the data is 42, 45, 49, 50, 62. Since there are 6 data points (an even - numbered set), (Q_3=\frac{45 + 49}{2}=47).

Step7: Find the greatest value

The greatest value is the largest number in the data - set. So, the greatest value is 62.

Answer:

Least value: 22 First quartile: 29 Median: 35 Third quartile: 47 Greatest value: 62