Answer to Question #310969 in Statistics and Probability for Muskan

Question

Question # 1

The following table shows the distribution of fortnightly wages (in hundreds of rupees) of 80 employees working at the site of a construction project at Karachi. Daily Wages 50 – 59 , 60 – 69 , 70 – 79 , 80 – 89 , 90 – 99 , 100 – 109 , 110 – 119

No # of workers 5 , 11 , 21 , 19 , 16 , 6, 2

a)The width of class interval

.b)The frequency of second class.

c)The lower limit of the fourth class.

d)The class boundaries of the third class.

e)The class mark of the fifth class

.f)The percentage of employees earning Rs. 90 or more.

g)The percentage of employees earning less than Rs. 90

Answer 1

Answers

(a) Width of class intervals

= upper limit - lower limit

$=59.5-49.5$

$=10.0$

(b) Frequency of second class

= no of workers in the second class

$=11$

(c) Lower limit of the fourth class

$=79.5$

(d) Class boundaries of the third class

$=69.5 \to 79.5$

(e) The class mark of the fifth class

$=\dfrac{lower limit +upper limit}{2}$

$=\dfrac{89.5+99.5}{2}$

$=94.5$

(f) The percentage of employees earning Rs. 90 or more

$=\dfrac{16+6+2}{80}$

$=30\%$

(g) Percentage of employees earning less than Rs. 90.

$=\dfrac{19+21+11+5}{80}$

$=70\%$