# Formal and Non Formal Education

Topics: Harshad number, Frequency distribution, Roman numerals Pages: 5 (574 words) Published: March 22, 2013
CHAPTER 2

Page 28

4.
|City |Frequency |Relative |Or Relative Frequency | | | |Frequency |(%) | |Indianapolis |100 |0.050 |5.0 | |St. Louis |450 |0.225 |22.5 | |Chicago |1300 |0.650 |65.0 | |Milwaukee |150 |0.075 |7.5 | |Total |2000 |1.000 |100.0 |

5.a. A frequency table.
b.
[pic]

c.

|  |Frequencies |Relative Frequencies (%) | |White |130 |10.0 | |Black |104 |8.0 | |Lime |325 |25.0 | |Orange |455 |35.0 | |Red |296 |22.0 | |Total |1300 | 100.0 |

[pic]

d. 350,000 orange; 250,000 lime; 220,000 red; 100,000 white, and 80,000 black, found by multiplying relative frequency by 1,000,000 production.

Page 35

10.a.25 = 32, 26 = 64 > 53 suggests 6 classes.
b. [pic]Use interval of 15 and start first class at 40.

12.a. 24 = 16, 25 = 32 > n = 20, suggest 5 classes
b.[pic]Use interval of 10.
c.50
d.fRelative frequency
50 up to 6040.20
60 up to 7050.25
70 up to 8060.30
80 up to 9020.10
90 up to 10030.15
Total201.00
e.The fewest number is about 50, the highest about 100. The greatest concentration is in classes 60 up to 70 and 70 up to 80.

Page 41

15.
The following table is for 7th edition part (b) only
|Class |Mid Points x |Frequency |cum. Freq |Relative |fx | | | | | |Frequencies | | |0 – 5 |2.5 |5 |5 |0.05 |12.5 | |5-10 |7.5 |13 |18 |0.13 |97.5 | |10-15 |12.5 |28 |46 |0.28 |350.0 | |15-20 |17.5 |23 |69 |0.23 |402.5 | | 20-25 |22.5 |18 |87 |0.18 |405.0 | |25-30 |27.5 |10 |97 |0.1 |275.0 | |30-35 |32.5 |3 |100 |0.03 |97.5 | |  |Total |100 |  |1.00 |1640.0 |

a.Histogram
b. 100 (8th edition)
c. 5
d. 28
e. 0.28
f. 12.5
g. 13

16.a.3
c. 2
d. frequency polygon

17.a.50
b. 1.5 thousands of miles
c.

d. X = 1.5, Y = 5
e.

[pic]

f.For the 50 employees about half earn between 6 and 9 thousand frequent flier miles. Five earn less than 3 thousand frequent flier miles, and two earn more than 12 thousand frequent flier miles.

Page 45
20.a.200
e.about = 110 – 50 or 60 homes

22.a.Les than 10 days = 6 + 7 = 13
Less than 15 days = 6 + 7 + 12 = 25...