The following table gives the distribution of the life time of 400 neon lamps:

Lite time:
(in hours) Number of lamps

1500−2000
2000−2500
2500−3000
3000−3500
3500−4000
4000−4500
4500−5000 14
56
60
86
74
62
48

Find the median life.

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Solution

We prepare the cumulative frequency table, as given below.

We have,

So,

Now, the cumulative frequency just greater than 200 is 216 and the corresponding class is .

Therefore, is the median class.

Here,

We know that

Hence, the median life of the lamps is approximately 3406.98 hours.

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Similar questions

Find the following table gives the distribution of the life time of 400 neon lamps:

Life time (in hours)	Number of lamps
1500 − 2000	14
2000 − 2500	56
2500 − 3000	60
3000 − 3500	86
3500 − 4000	74
4000 − 4500	62
4500 − 5000	48

Find the median life time of a lamp.

Q. The following table gives the distribution of the life time of

400

neon lamps:

Life time: (in hours)	Number of lamps
$1500 - 2000$	$14$
$2000 - 2500$	$56$
$2500 - 3000$	$60$
$3000 - 3500$	$86$
$3500 - 4000$	$74$
$4000 - 4500$	$62$
$4500 - 5000$	$48$

Find the median life.

Q. The following table gives the distribution of the life time of 400 neon lamps:

Life time (in hours)	Number of lamps
$1500 - 2000$ $2000 - 2500$ $2500 - 3000$ $3000 - 3500$ $3500 - 4000$ $4000 - 4500$ $4500 - 5000$	$14$ $56$ $60$ $86$ $74$ $62$ $48$

Find the median life time of a lamp.

The following table gives the distribution of the life time of 400 neon lamps:
$\begin{matrix} Lite time : (in hours) & Number of lamps 1500 - 2000 & 14 2000 - 2500 & 56 2500 - 3000 & 60 3000 - 3500 & 86 3500 - 4000 & 74 4000 - 4500 & 62 4500 - 5000 & 48 \end{matrix}$
Find the median life.

Question 5
The following table gives the distribution of the life time of 400 neon lamps:

$\begin{matrix} L i f e t i m e (i n h o u r s) & N u m b e r o f l a m p s 1500 - 2000 & 14 2000 - 2500 & 56 2500 - 3000 & 60 3000 - 3500 & 86 3500 - 4000 & 74 4000 - 4500 & 62 4500 - 5000 & 48 \end{matrix}$

Find the median life time of a lamp.

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Lite time: (in hours)	Number of lamps
1500−2000 2000−2500 2500−3000 3000−3500 3500−4000 4000−4500 4500−5000	14 56 60 86 74 62 48

The following table gives the distribution of the life time of 400 neon lamps: Lite time: (in hours) Number of lamps 1500−2000 2000−2500 2500−3000 3000−3500 3500−4000 4000−4500 4500−5000 14 56 60 86 74 62 48 Find the median life.

We prepare the cumulative frequency table, as given below. We have, So, Now, the cumulative frequency just greater than 200 is 216 and the corresponding class is . Therefore, is the median class. Here, We know that Hence, the median life of the lamps is approximately 3406.98 hours.

The following table gives the distribution of the life time of 400 neon lamps:

Lite time:
(in hours) Number of lamps

1500−2000
2000−2500
2500−3000
3000−3500
3500−4000
4000−4500
4500−5000 14
56
60
86
74
62
48

Find the median life.

We prepare the cumulative frequency table, as given below.

We have,

So,

Now, the cumulative frequency just greater than 200 is 216 and the corresponding class is .

Therefore, is the median class.

Here,

We know that

Hence, the median life of the lamps is approximately 3406.98 hours.