Answer:
standard deviation = 15.3
Step-by-step explanation:
Standard deviation is the measure of how much further apart the values are from each other in the data set.
[tex]\sf standard \ deviation = \sqrt{\dfrac{\sum x^2f}{\sum f}-\overline{x}^2}[/tex]
Number of total people = 10 + 20 + 22 + 25 + 13 + 6 + 4 = 100
First start, by finding the mean of data set:
= (50 × 10 + 60 × 20 + 70 × 22 + 80 × 25 + 90 × 13 + 100 × 6 + 110 × 4)/100
= 74.5 Rs.
[tex]\sf s.d= \sqrt{\dfrac{50^2(10)+60^2(20)+70^2(22)+80^2(25)+90^2(13)+100^2(6) + 110^2 (4)}{100}- 74.5^2}[/tex]
[tex]\sf s.d= \sqrt{\dfrac{578500}{100}- 74.5^2}[/tex]
[tex]\sf s.d= \sqrt{5785- 74.5^2}[/tex]
[tex]\sf s.d= 15.32155[/tex]
[tex]\sf s.d= 15.3[/tex]
