The following data represents the life times in hour of 20 bulbs produced by a factory: 235, 236, 238,
232, 230, 239, 235, 236, 237, 231, 240, 239, 233, 232, 240, 231, 239, 238, 233, 230
Construct a frequency table for the given data. Use your table to answer the following questions-
(i) How many bulbs had life more than 235 hours?
(ii) How many bulbs had lifetime less than 234 hours.
(iii) What percent of bulbs had lifetime more than 238 hours?
(iv) The manufacturer claimed that 70 % of the bulbs produced by his factory have a minimum
lifetime of 236 hours. What percent of the bulbs did not fulfil the claim?
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Step-by-step explanation:
Given The following data represents the life times in hour of 20 bulbs produced by a factory: 235, 236, 238,232, 230, 239, 235, 236, 237, 231, 240, 239, 233, 232, 240, 231, 239, 238, 233, 230
Construct a frequency table for the given data. Use your table to answer the following questions-
(i) How many bulbs had life more than 235 hours?
(ii) How many bulbs had lifetime less than 234 hours.
(iii) What percent of bulbs had lifetime more than 238 hours?
(iv) The manufacturer claimed that 70 % of the bulbs produced by his factory have a minimum
lifetime of 236 hours. What percent of the bulbs did not fulfil the claim?
- So Frequency Distribution of bulbs:
- Life time (in hours) Frequency
- 230 2
- 231 2
- 232 2
- 233 2
- 234 0
- 235 2
- 236 2
- 237 1
- 238 2
- 239 3
- 240 2
- Total 20
- 1. Number of bulbs having life time more than 235 hours = 10
- 2. Number of bulbs having life time less than 234 hours = 8
- 3. So percentage of bulbs having life time more than 238 hours
- = 5/20 x 100
- = 25%
- 4. Percentage of bulbs having minimum life time of 236 hours.
- = 10 / 20 x 100
- = 50%
- Claim by manufacture is 70%
- Actual percentage is 50%
- Therefore percentage of bulbs which did not fulfil the claim will be
- 70% - 50% = 20%
Reference link will be
https://brainly.in/question/118964
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