Mathematics
The cost of 250 articles is given below :
| Cost (in ₹) | No. of articles |
|---|---|
| less than 20 | 22 |
| less than 30 | 40 |
| less than 40 | 75 |
| less than 50 | 190 |
| less than 60 | 228 |
| less than 70 | 250 |
Construct a frequency distribution table for the data given above. Also, answer the following :
(i) how many articles cost from ₹ 30 to less than ₹ 50 ?
(ii) how many articles have cost at most ₹ 40?
(iii) how many articles have cost at least ₹ 50?
Answer
The frequency table for the given distribution is :
| Cost (in ₹) | Cumulative frequency | No. of articles |
|---|---|---|
| 10 - 20 | 22 | 22 |
| 20 - 30 | 40 | (40 - 22) = 18 |
| 30 - 40 | 75 | (75 - 40) = 35 |
| 40 - 50 | 190 | (190 - 75) = 115 |
| 50 - 60 | 228 | (228 - 190) = 38 |
| 60 - 70 | 250 | (250 - 228) = 22 |
(i) From the table,
Number of articles between 30 - 40 = 35
Number of articles between 40 - 50 = 115
Total articles = 115 + 35 = 150
Hence, 150 articles cost from ₹ 30 to less than ₹ 50.
(ii) Number of articles have cost less than ₹ 40 = 22 + 18 + 35 = 75
Hence, 75 articles have cost at most ₹ 40.
(iii) From the table,
Number of articles between 50 - 60 = 38
Number of articles between 60 - 70 = 22
Total articles = 38 + 22 = 60
Hence, 60 articles have cost at least ₹ 50.
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