The following data gives the information of life of 300 electric bulbs (in Hours)

Life (in Hrs.)

0-20

20-40

40-60

60-80

80-100

100-120

No. of electric bulbs

31

36

38

42

82

71

Find the modal life of the electric bulbs.

Open in App

Solution

$\begin{matrix} M o d a l c l a s s i s 80 - 100 l = 80, f_{1} = 82, f_{0} = 42, f_{2} = 71, h = 20 m o d a l l i f e = l + (\frac{f_{1} - f_{0}}{2 f_{1} - f_{0} - f_{2}}) \times h = 80 + (\frac{82 - 42}{2 \times 82 - 42 - 71}) \times h = 80 + \frac{40 \times 20}{51} = 80 + \frac{800}{51} = 80 + 15.69 = 95.69 \end{matrix}$

Suggest Corrections

Similar questions

Q. The following data gives the information on the observed lifetime (in hours) of 225 electrical components:

\begin{matrix} L i f e t i m e (i n h o u r s) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 & 100 - 120 N u m b e r o f c o m p o n e n t s & 10 & 35 & 52 & 61 & 38 & 29 \end{matrix}

Determine the modal lifetimes of the components.

Q. The following data gives the information on the observed lifetimes (in hours) of

225

electrical components:

Lifetimes (in hours)	$0 - 20$	$20 - 40$	$40 - 60$	$60 - 80$	$80 - 100$	$100 - 120$
Frequency	$10$	$35$	$52$	$61$	$38$	$29$

Determine the modal lifetimes of the components.

The following data gives the information on the observed lifetime (in hours) of 225 electrical components:

$\begin{matrix} L i f e t i m e (i n h o u r s) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 & 100 - 120 N u m b e r o f c o m p o n e n t s & 10 & 35 & 52 & 61 & 38 & 29 \end{matrix}$

Determine the modal lifetimes of the components, given that the modal class is 60-80.

The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
Lifetimes (in hours): 0-20 20-40 40-60 60-80 80-100 100-120
No. of components: 10 35 52 61 38 29
Determine the modal lifetimes of the components.

The following data gives the information on the observed lifetime (in hours) of 225 electrical components:
$\begin{matrix} L i f e t i m e (i n h o u r s) & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 & 100 - 120 N u m b e r o f c o m p o n e n t s & 10 & 35 & 52 & 61 & 38 & 29 \end{matrix}$
Determine the modal lifetime of the components.

Join BYJU'S Learning Program

Life (in Hrs.)	0-20	20-40	40-60	60-80	80-100	100-120
No. of electric bulbs	31	36	38	42	82	71

The following data gives the information of life of 300 electric bulbs (in Hours) Life (in Hrs.) 0-20 20-40 40-60 60-80 80-100 100-120 No. of electric bulbs 31 36 38 42 82 71 Find the modal life of the electric bulbs.

Modalclassis80−100l=80,f1=82,f0=42,f2=71,h=20modallife=l+(f1−f02f1−f0−f2)×h=80+(82−422×82−42−71)×h=80+40×2051=80+80051=80+15.69=95.69

The following data gives the information of life of 300 electric bulbs (in Hours)

Life (in Hrs.)

0-20

20-40

40-60

60-80

80-100

100-120

No. of electric bulbs

31

36

38

42

82

71

Find the modal life of the electric bulbs.