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For numbers 11-15, refer to the given table.

Distance (km) Travelled from Home to School of Students

18-20

15-17

12-14

9-11

6-8

3-5

0-2 

Frequency (f)

1

2

3

5

8

17

4

Lower boundaries

17.5

14.5

11.5

8.5

5.5

2.5

0.5 

Less Than Cumulative Frequency (< 𝑐𝑓)

40

39

37

34

29

21

4


11. What is the lower boundary in solving for the 45th percentile of the distance travelled from home to school of the students?

M. 2.5 A. 5.5 T. 8.5 H. 11.5 

12. What is the 45th percentile of the distance travelled from home to school of the students?

M. 4.79 A. 4.97 T. 7.94 H. 9.47

13. What cumulative frequency should be used in solving for the 7th decile?

M. 34 A. 29 T. 21 H. 4

14. Find the value of D7.

M.8.13 A. 7.13 T. 3.18 H. 1.38

15.What is the value of Q1?

M. 2.63 A. 3.56 T. 5.36 H. 6.35


3. The set of scores: 15, 14, 12, 10, 9, 11, 17, 15, and 19, find the median score.

M. 9 T. 11 A. 10 H. 14


2. What do you call the ninety-nine score points which divide a distribution into one hundred equal parts? M. decile T. percentile A. median H. quartile


Study Units Assessed: Study unit 3 and 4


Measure development


Explain the existence of the development gap between the developed and developing countries and within individual countries.



Assignment Instructions: Compare any THREE developing countries. Use the latest statistics. Illustrate with only FIVE common characteristics. 20% marks



1. the last several years, the use of cellphones has increased dramatically. An article in USA Today reported that according to a poll, the mean talking time per month for cellphones was 372 minutes for men and 275 for women, while the mean talking time per month for traditional home phones was 334 minutes for men and 510 minutes for women. Suppose that the poll was based on a sample Over of 100 men and 100 women, and that the standard deviation of the talking time per month for cellphones was 120 minutes for men and 100 minutes for women, while the standard deviation of the talking time per month for traditional home phone was 100 minutes for men and 150 minutes for women. (critical value = +1.96)

a. Is there evidence of a difference in the mean monthly talking time on cellphones for men and women?

b. Is there evidence of a difference in the mean talking time on traditional home phone for men and women?



The purchasing director of an industrial part factory is investigating the possibility of purchasing a new type of milling machine. He determines that the new machine will be bought if there is evidence that the parts produced have a higher mean breaking strength than those from the old machine. The population standard deviation of the breaking strength for the old machine is 10kg and for the new machine is 9 kg. A sample of 100 parts was taken from each machine. Old machine indicates a sample mean of 65kg while new machine indicates a sample mean of 72 kg. Using the 0.01 level of significance, is there evidence that the purchasing director should buy the new machine? (critical value = + 2.575 )

The average length of time for students to register for summer classes at a certain college has been 50 minutes. A new registration procedure using modern computing machines is being tried. If a random sample of 35 students had an average registration time of 42 minutes with a standard deviation of 11.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 minutes, using a level of signficance of 0.01. (critical value = +/- 2.33)

7. Calculate P40 of the judges’ scores.

M. 8.12 A. 8.42 T. 8.75 H. 9.10


The scores of Miss San Quintin candidates from seven judges were recorded as follows: 8.12, 9.10, 8.42, 9.14, 8.75, 9.17, and 8. 37

For numbers 4 – 6, refer to the given data above.

4. Find the 50th percentile or P50 of the judges’ scores.

M. 9.14 A. 8.75 T. 8.42 H. 8.12

5. What is the P30 of the judges’ scores?

M. 9.10 A. 8.75 T. 8.42 H. 8.37

6. Determine the 70th percentile of the judges’ scores.

M. 9.14 A. 9.10 T. 8.42 H. 8.12



1. Which of the following is the same as the median score? M. 2 nd quartile T. 25th percentile A. 6 th decile H. 75th percentile

2. What do you call the ninety-nine score points which divide a distribution into one hundred equal parts? M. decile T. percentile A. median H. quartile

3. The set of scores: 15, 14, 12, 10, 9, 11, 17, 15, and 19, find the median score. M. 9 T. 11 A. 10 H. 14


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