Advertisements
Advertisements
प्रश्न
The mode of a grouped frequency distribution is 75 and the modal class is 65-80. The frequency of the class preceding the modal class is 6 and the frequency of the class succeeding the modal class is 8. Find the frequency of the modal class.
उत्तर
Given, Mode = 75
Modal class = 65 – 80
Frequency of the class preceding the modal class, f0 = 6
Frequency of class succeeding the modal class, f2 = 8
Here, the lower limit of modal class, l = 65 and class size = 15
Mode = `l + ((f_1 - f_0)/(2f_1 - f_0 - f_2)) xx h`
⇒ 75 = `65 + ((f_1 - 6)/(2f_1 - 6 - 8)) xx 15`
⇒ 10 = `(f_1 - 6)/(2f_1 - 14) xx 15`
⇒ `20f_1 - 140 = 15f_1 - 90`
⇒ `5f_1` = 50
⇒ `f_1` = 10
Hence, the frequency of modal class `(f_1)` is 10.
संबंधित प्रश्न
The following data gives the information on the observed lifetimes (in hours) of 225 electrical components:
| Lifetimes (in hours) | 0 − 20 | 20 − 40 | 40 − 60 | 60 − 80 | 80 − 100 | 100− 120 |
| Frequency | 10 | 35 | 52 | 61 | 38 | 29 |
Determine the modal lifetimes of the components.
Find the mean, median and mode of the following data:
| Classes: | 0 – 50 | 50 – 100 | 100 – 150 | 150 – 200 | 200 – 250 | 250 – 300 | 300 – 350 |
| Frequency: | 2 | 3 | 5 | 6 | 5 | 3 | 1 |
If mode of a series exceeds its mean by 12, then mode exceeds the median by
Find the mode from the following information:
L = 10, h = 2, f0 = 58, f1 = 70, f2 = 42.
Calculate the mode of the following distribution:
| Class | 10 − 15 | 15 − 20 | 20 − 25 | 25 − 30 | 30 − 35 |
| Frequency | 4 | 7 | 20 | 8 | 1 |
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?
Construction of a cumulative frequency table is useful in determining the ______.
If L = 10, f1 = 70, f0 = 58, f2 = 42, h = 2, then find the mode by using formula.
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:
If mode of the following frequency distribution is 55, then find the value of x.
| Class | 0 – 15 | 15 – 30 | 30 – 45 | 45 – 60 | 60 – 75 | 75 – 90 |
| Frequency | 10 | 7 | x | 15 | 10 | 12 |
