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Question
For the following distribution:
| Class | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 |
| Frequency | 10 | 15 | 12 | 20 | 9 |
the upper limit of the modal class is:
Options
10
15
20
25
Solution
20
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The following table shows the ages of the patients admitted in a hospital during a year:
| Age (in years) | 5 − 15 | 15 − 25 | 25 − 35 | 35 − 45 | 45 − 55 | 55 − 65 |
| Number of patients | 6 | 11 | 21 | 23 | 14 | 5 |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.
| Expenditure (in Rs) | Number of families |
| 1000 − 1500 | 24 |
| 1500 − 2000 | 40 |
| 2000 − 2500 | 33 |
| 2500 − 3000 | 28 |
| 3000 − 3500 | 30 |
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| 4000 − 4500 | 16 |
| 4500 − 5000 | 7 |
The following table gives the daily income of 50 workers of a factory:
| Daily income (in Rs) | 100 - 120 | 120 - 140 | 140 - 160 | 160 - 180 | 180 - 200 |
| Number of workers: | 12 | 14 | 8 | 6 | 10 |
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Find the mode of the following distribution:
| Class interval |
10 – 14 | 14 – 18 | 18 – 22 | 22 – 26 | 26 – 30 | 30 – 34 | 34 – 38 | 38 – 42 |
| Frequency | 8 | 6 | 11 | 20 | 25 | 22 | 10 | 4 |
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| Monthly salary (in Rs) | No of employees |
| 0 – 5000 | 90 |
| 5000 – 10000 | 150 |
| 10000 – 15000 | 100 |
| 15000 – 20000 | 80 |
| 20000 – 25000 | 70 |
| 25000 – 30000 | 10 |
Mode is
Find the mode from the following information:
L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.
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₹ 5000, ₹ 7000, ₹ 5000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 7000, ₹ 8000, ₹ 7000, ₹ 5000
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Find the mode of the following frequency distribution:
| Class: | 20 – 30 | 30 – 40 | 40 – 50 | 50 – 60 | 60 – 70 |
| Frequency: | 25 | 30 | 45 | 42 | 35 |
