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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
The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches.
| Runs scored | Number of batsmen |
| 3000 − 4000 | 4 |
| 4000 − 5000 | 18 |
| 5000 − 6000 | 9 |
| 6000 − 7000 | 7 |
| 7000 − 8000 | 6 |
| 8000 − 9000 | 3 |
| 9000 − 10000 | 1 |
| 10000 − 11000 | 1 |
Find the mode of the data.
A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.
| Number of cars | 0 − 10 | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 | 60 − 70 | 70 − 80 |
| Frequency | 7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |
The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean and mode of the data and compare them.
| Monthly consumption (in units) | Number of consumers |
| 65 - 85 | 4 |
| 85 - 105 | 5 |
| 105 - 125 | 13 |
| 125 - 145 | 20 |
| 145 - 165 | 14 |
| 165 - 185 | 8 |
| 185 - 205 | 4 |
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 |
Calculate the mode from the following data:
| 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 |
The agewise participation of students in the annual function of a school is shown in the following distribution.
| Age (in years) | 5 - 7 | 7 - 9 | 9 - 11 | 11 – 13 | 13 – 15 | 15 – 17 | 17 – 19 |
| Number of students | x | 15 | 18 | 30 | 50 | 48 | x |
Find the missing frequencies when the sum of frequencies is 181. Also find the mode of the data.
Find out the mode from the following data:
| Wages (in ₹) | No. of persons |
| 125 | 3 |
| 175 | 8 |
| 225 | 21 |
| 275 | 6 |
| 325 | 4 |
| 375 | 2 |
Find the mode of the following distribution:
| Weight (in kgs) | 25 − 34 | 35 − 44 | 45 − 54 | 55 − 64 | 65 − 74 | 75 − 84 |
| Number of students | 4 | 8 | 10 | 14 | 8 | 6 |
The mode of the numbers 2, 3, 3, 4, 5, 4, 4, 5, 3, 4, 2, 6, 7 is ______.
The following frequency distribution table shows the classification of the number of vehicles and the volume of petrol filled in them. To find the mode of the volume of petrol filled, complete the following activity:
| Class (Petrol filled in Liters) |
Frequency (Number of Vehicles) |
| 0.5 - 3.5 | 33 |
| 3.5 - 6.5 | 40 |
| 6.5 - 9.5 | 27 |
| 9.5 - 12.5 | 18 |
| 12.5 - 15.5 | 12 |
Activity:
From the given table,
Modal class = `square`
∴ Mode = `square + [(f_1 - f_0)/(2f_1 -f_0 - square)] xx h`
∴ Mode = `3.5 + [(40 - 33)/(2(40) - 33 - 27)] xx square`
∴ Mode = `3.5 +[7/(80 - 60)] xx 3`
∴ Mode = `square`
∴ The mode of the volume of petrol filled is `square`.
