Advertisements
Advertisements
प्रश्न
If the difference of mode and median of a data is 24, then find the difference of median and mean.
उत्तर
Given that the difference of mode and median of a data is 24. That is,
MODE - MEDIAN = 24
⇒ MODE = MEDIAN + 24
We have to find the difference between median and mean
We know that
MODE = 3 × MEDIAN - 2 × MEAN
⇒ MEDIAN + 24 = 3 × MEDIAN - 2 × MEAN
⇒ 24 = 3 × MEDIAN - MEDIAN - 2 × MEAN
⇒ 24 = 2 × MEDIAN - 2 × MEAN
⇒ 2 × MEDIAN - 2 × MEAN = 24
⇒ 2( MEDIAN - MEAN ) = 24
⇒ MEDIAN -MEAN = `24/2`
⇒ MEDIAN - MEAN = 12
APPEARS IN
संबंधित प्रश्न
Give one example of a situation in which
(i) the mean is an appropriate measure of central tendency.
(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
Find the mean salary of 60 workers of a factory from the following table:-
| Salary (in Rs) | Number of workers |
| 3000 | 16 |
| 4000 | 12 |
| 5000 | 10 |
| 6000 | 8 |
| 7000 | 6 |
| 8000 | 4 |
| 9000 | 3 |
| 10000 | 1 |
| Total | 60 |
Find the values of n and X in each of the following cases :
(i) `sum _(i = 1)^n`(xi - 12) = - 10 `sum _(i = 1)^n`(xi - 3) = 62
(ii) `sum _(i = 1)^n` (xi - 10) = 30 `sum _(i = 6)^n` (xi - 6) = 150 .
Find the mean of the following data:
| x : | 19 | 21 | 23 | 25 | 27 | 29 | 31 |
| f : | 13 | 15 | 16 | 18 | 16 | 15 | 13 |
Find out the mode of the following marks obtained by 15 students in a class:
Marks : 4, 6, 5, 7, 9, 8, 10, 4, 7, 6, 5, 9, 8, 7, 7.
The mean of n observations is X. If each observation is multiplied by k, the mean of new observations is
The following is the data of wages per day : 5, 4, 7, 5, 8, 8, 8, 5, 7, 9, 5, 7, 9, 10, 8
The mode of the data is
The monthly salaries in rupees of 30 workers in a factory are given below.
5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000
From the above data find the mean of monthly salary.
A child says that the median of 3, 14, 18, 20, 5 is 18. What doesn’t the child understand about finding the median?
Obtain the mean of the following distribution:
| Frequency | Variable |
| 4 | 4 |
| 8 | 6 |
| 14 | 8 |
| 11 | 10 |
| 3 | 12 |
