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प्रश्न
For the following frequency distribution, find the mode:
| Class | 25 – 30 | 30 – 35 | 35 – 40 | 40 – 45 | 45 – 50 |
| Frequency | 12 | 5 | 14 | 8 | 9 |
उत्तर
Here, the highest frequency is 14, therefore the modal class is 35 – 40.
So, l = 35, f1 = 14, f0 = 5, f2 = 8 and h = 15
Now, Mode (M0) = `l + ((f_1 - f_0)/(2f_1 + f_0 - f_2)) xx h`
= `35 + ((14 - 5)/(28 - 5 - 8)) xx 15`
= `35 + 9/15 xx 15`
= 35 + 9
= 44
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संबंधित प्रश्न
Find the mode of the following distribution.
| Class-interval: | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
| Frequency: | 30 | 45 | 75 | 35 | 25 | 15 |
Compare the modal ages of two groups of students appearing for an entrance test:
| Age (in years): | 16-18 | 18-20 | 20-22 | 22-24 | 24-26 |
| Group A: | 50 | 78 | 46 | 28 | 23 |
| Group B: | 54 | 89 | 40 | 25 | 17 |
The marks in science of 80 students of class X are given below: Find the mode of the marks obtained by the students in science.
| Marks: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 |
| Frequency: | 3 | 5 | 16 | 12 | 13 | 20 | 5 | 4 | 1 | 1 |
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| Daily income (in Rs) | 100 - 120 | 120 - 140 | 140 - 160 | 160 - 180 | 180 - 200 |
| Number of workers: | 12 | 14 | 8 | 6 | 10 |
Find the mean, mode and median of the above data.
The following table give the marks scored by students in an examination:
| Marks | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
| No. of students | 3 | 7 | 15 | 24 | 16 | 8 | 5 | 2 |
(i) Find the modal group
(ii) Which group has the least frequency?
Mode is the ______.
If xi's are the midpoints of the class intervals of grouped data, fi's are the corresponding frequencies and `barx` is the mean, then `sum(f_ix_i-barx)` is equal to ______.
For the following distribution
| C.l. | 0 - 5 | 5 - 10 | 10 - 15 | 15 - 20 | 20 - 25 |
| f | 10 | 15 | 12 | 20 | 9 |
the difference of the upper limit of the median class and the lower limit of the modal class is?
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| Height [in cm] | Below 140 | Below 145 | Below 150 | Below 155 | Below 160 | Below 165 |
| Number of girls | 4 | 11 | 29 | 40 | 46 | 51 |
