Advertisements
Advertisements
प्रश्न
Find the mean, median and mode of the following data:
| Classes: | 0-20 | 20-40 | 40-60 | 40-60 | 80-100 | 100-120 | 120-140 |
| Frequency: | 6 | 8 | 10 | 12 | 6 | 5 | 3 |
उत्तर
Consider the following data.
| Class | Frequency (fi) | xi | fi xi | C.f. |
| 0−20 | 6 | 10 | 60 | 6 |
| 20−40 | 8 | 30 | 240 | 14 |
| 40−60 | 10 | 50 | 500 | 24 |
| 60−80 | 12 | 70 | 840 | 36 |
| 80−100 | 6 | 90 | 540 | 42 |
| 100−120 | 5 | 110 | 550 | 47 |
| 120−140 | 3 | 130 | 390 | 50 |
| `N=sumf=50` | `sumf_1x_1=3120` |
Here, the maximum frequency is 12 so the modal class is 60−80.
Therefore,
l = 60
h = 20
f = 12
f1 = 10
f2 = 6
F = 24
Median `=l+(N/2-F)/fxxh`
`=60+(25-24)/12xx20`
`=60+1/12xx20`
`=60+20/12`
= 60 + 1.67
= 61.67
Thus, the median of the data is 61.66.
Mean `=(sumf_1x_1)/sumf`
`=3120/50=32.4`
Thus, the mean of the data is 62.4.
Mode `=l+(f-f1)/(2f-f1-f2)xxh`
`=60+(12-10)/(24-10-6)xx20`
`=60+2/8xx20`
`=60+40/8`
= 60 + 5
= 65
Thus, the mode of the data is 65.
APPEARS IN
संबंधित प्रश्न
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 |
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 |
Find the mean, mode and median of the above data.
Compute the mode of the following data:
| Class | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Frequency | 25 | 16 | 28 | 20 | 5 |
Compute the mode from the following data:
| Age (in years) | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 - 35 |
| No of patients | 6 | 11 | 18 | 24 | 17 | 13 | 5 |
Find the mode of the given data:
| Class Interval | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 |
| Frequency | 15 | 6 | 18 | 10 |
Calculate the mode of the following distribution:
| Class | 10 − 15 | 15 − 20 | 20 − 25 | 25 − 30 | 30 − 35 |
| Frequency | 4 | 7 | 20 | 8 | 1 |
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 |
For the following distribution
| Marks | No. of students |
| Less than 20 | 4 |
| Less than 40 | 12 |
| Less than 60 | 25 |
| Less than 80 | 56 |
| Less than 100 | 74 |
| Less than 120 | 80 |
the modal class is?
Which of the following is not a measure of central tendency?
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 |
