Question

WWUN-MATICS 36 Quanttal XDo Homework 72 wson.com/Student/PlayerHomework.aspx?homeworkid-627767700&questionid-7&flushed-false&cid-7000266&back-https://mylabMethods 2022 23 TERMIK-Complete the class frequency table belowClass interval Class frequency6-1011-1516-2021-2526:30Use the hourly rates on the right founded to the nearest whole dolar) for 36 support employees in a private colege to complete theIrequency distribution and find the grouped meanTotal100000Midpoint81318Question 12,7.2.20Part 1 of 22328pearson.com/Student/DoHomework.aspx?homeworkid-6277677006ampback-DoAssignments.aspx$15$15$16$295690$11$16$17$13HW Score: 79 17% 95 of 12 pointsO Points: 0 of 199$18$15$20$15$10$7019$25$13$13$24$13$17DEule Brown 08/20/22$13125$15$16$12

Answer 1

We have the following table for collected data:

And we need to find the class frequency, the relative frequency for the given class intervals as follows:

Then to find the relative frequency for each class interval, we can proceed as follows:

1. We can order the data in ascending order to make easier the counting of each observation. Then, we have (all of the values are given in dollars):

$2.50,\:3.75,\:5.27,\:6.50,\:6.75,\:7.50,\:7.50,\:8.00,\:8.25,\:9.50,\:10.50,\:12.50,\:12.75,14.58,\:14.78,\:15.00,\:15.00,\:17.50,\:18.50,20.00,21.50,25.00,25.50,26.00,28.50,32.50,37.50,43.00,45.00,48.00$

2. Now, we can check that we have 30 observations, and they are all ordered in ascending order. Now, we need to count the number of observations for each class interval as follows:

• $0 - $9.99 ---> (2.50, 3.75, 5.27, 6.50, 6.75, 7.50, 7.50, 8.00, 8.25, 9.50) ---> 10 observations.

• $10 - $19.99 ---> (10.50, 12.50, 12.75, 14.58, 14.78, 15.00, 15.00, 17.50, 18.50) ---> 9 observations.

,

• $20 - $29.99 ---> (20.00, 21.50, 25.00, 25.50, 26.00, 28.50) ---> 6 observations.

,

• $30 - $39.99 ---> (32.50, 37.50) ---> 2 observations.

,

• $40 - $49.99 ---> (43.00, 45.00, 48.00) ---> 3 observations

3. Now, since we have counted the number of observations per class interval, we can draw this information by using a tally as follows:

4. Now, we need to remember that the class frequency is given by the number of observations above, and, finally, the relative frequency is given by the number of observations for each case over the total of cases, that is, n = 30. Therefore, the relative frequency is given by (we have to type integers or decimals rounded to the nearest tenth as needed):

Class Interval ------- Relative Frequency

$0 - $9.99 ---> 10/30 = 0.333333... approx. 0.3 (rounded to the nearest tenth).

$10 - 19.99 ---> 9/30 = 0.3

$20 - $29.99 ---> 6/30 = 0.2

$30 - $39.99 ---> 2/30 = 0.0666666... approx. 0.1 (rounded to the nearest tenth).

$40 - $49.99 ---> 3/30 = 0.1

We also need to check if the sum of the relative frequencies is equal to 1 (100%), then we have:

$0.3+0.3+0.2+0.1+0.1=1$

Therefore, in summary, we can complete the given table as follows:

Tally and Class Frequency, and the Relative Frequency: