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

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

Lifetime (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 lifetime of a lamp.

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n = 400 &n/2 = 200

Median class = 3000 – 3500

Therefore, l = 3000, C= 130,

f = 86 & h = 500

Median = \( l+ (\frac{\frac{n}{2} - c_f}{f}) \times h\)

Median = 3000 + ((200-130)/86) × 500

= 3000 + (35000/86)

= 3000 + 406.97

= 3406.97

Therefore, the median life time of the lamps = 3406.97 hours

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