Answer to Question #277003 in Statistics and Probability for Himanshi

Question

he weekly wages of 100 employees are given below. Find D4 and D8. Also find the wage

above which we have the richest 35% employees, correct to the nearest rupee.

Weekly Wages Below 50 50-100 100-150 150-200 200-250 250-300

No. of employees 10 70 80 100 150 90

Hint: Richest 35% employees earn above P65.

Ans.: D4= 170, D8 = 246.66, Richest 35% employees earn above Rs. 222.

Answer 1

Class Below 50 50-100 100-150 150-200 200-250 250-300

Frequency 10 70 80 100 150 90

Cf 10 80 160 260 410 500

$D4=l+w(\frac{4n/10-cf}{f})$

$D4=150+50(\frac{200-160}{100})$

=170

$D8=l+w(\frac{8n/10-cf}{f})$

$D8=200+50(\frac{400-260}{150})$

=246.667

$P65=l+w(\frac{65n/100-cf}{f})$

$P65=200+50(\frac{325-260}{150})$

=221.667