Quantitative Methods – MJ8 – 03-30-21 – Sect1

Module 2 Homework

Please complete the following questions. Provide your answers in a different colored font to make them easily identifiable.

The Stem-and-Leaf display represents the number of times in a year that a random sample of 100
“lifetime” members of a health club actually visited the facility.

Stem

Leaves

0

012222233333344566666667789999

1

1111222234444455669999

2

00011223455556889

3

0000446799

4

011345567

5

0077

6

8

7

67

8

3

9

0247

1. The person who has the largest leaf associated with the smallest stem visited the facility ________ times.

2. The person who visited the health club less than anyone else in the sample visited the facility ________ times.

3. The person who visited the health club more than anyone else in the sample visited the facility ________ times.

4. ________ of the 100 members visited the health club at least 52 times in a year.

5. ________ of the 100 members visited the health club no more than 12 times in a year.

6. If a frequency distribution with equal sized classes was made from this data, and the first class was “0 but less than 10,” the frequency of the fifth class would be ________.

7. If a frequency distribution with equal sized classes was made from this data, and the first class was “0 but less than 10,” the relative frequency of the last class would be ________.

8. If a frequency distribution with equal sized classes was made from this data, and the first class was “0 but less than 10,” the cumulative percentage of the next-to-last class would be ________.

9. If a frequency distribution with equal sized classes was made from this data, and the first class was “0 but less than 10,” the class midpoint of the third class would be ________.

The frequency distribution below represents the rents of 250 randomly selected federally subsidized
apartments in a small town.

Rent in $

Frequency

1,100 but less than 1,200

113

1,200 but less than 1,300

85

1,300 but less than 1,400

32

1,400 but less than 1,500

16

1,500 but less than 1,600

4

10. ________ apartments rented for at least $1,200 but less than $1,400.

11. ________ percent of the apartments rented for $1,400 or more.

12. ________ percent of the apartments rented for at least $1,300.

13. The class midpoint of the second class is ________.

14. The relative frequency of the second class is ________.

15. The percentage of apartments renting for less than $1,400 is ________.

The relative frequency histogram below represents scores achieved by 200 job applicants on a personality profile.

16. ________ percent of the job applicants scored between 10 and 20.

17. ________ percent of the job applicants scored below 50.

18. The number of job applicants who scored between 30 and below 60 is _______.

19. The number of job applicants who scored 50 or above is _______.

20. 90% of the job applicants scored above or equal to ________.