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प्रश्न
Find the median of the following:
3x, x+5, x+7, x+9, x+11, x+13
उत्तर
3x, x+ 5, x+7, x+9, x+11, x+13
Arranging the given data in descending order:
x +13, x+ 11, x+9, x+7, x+5, 3x
The middle terms are x +9 and x+7 which are 3rd and 4th terms
median = `(x+9+x+ 7 )/2 = (2x+16 )/2 = x + 8`
Therefore, Median = x+8.
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संबंधित प्रश्न
Marks obtained (in mathematics) by 9 student are given below:
60, 67, 52, 76, 50, 51, 74, 45 and 56
if marks of each student be increased by 4; what will be the new value of arithmetic mean.
The following table gives the heights of plants in centimeter. If the mean height of plants is 60.95 cm; find the value of 'f'.
| Height (cm) | 50 | 55 | 58 | 60 | 65 | 70 | 71 |
| No. of plants | 2 | 4 | 10 | f | 5 | 4 | 3 |
The contents of 100 match boxes were checked to determine the number of matches they contained.
| No. of matches | 35 | 36 | 37 | 38 | 39 | 40 | 41 |
| No. of boxes | 6 | 10 | 18 | 25 | 21 | 12 | 8 |
- Calculate, correct to one decimal place, the mean number of matches per box.
- Determine, how many extra matches would have to be added to the total contents of the 100 boxes to bring the mean up to exactly 39 matches.
The mean of the following distribution is `21 1/7`. Find the value of ‘f’.
| C.I. | 0 – 10 | 10 – 20 | 20 – 30 | 30 – 40 | 40 – 50 |
| Frequency | 8 | 22 | 31 | f | 2 |
Draw an ogive for the data given below and from the graph determine:
- the median marks
- the number of students who obtained more than 75% marks
| Marks | No. of students |
| 0 – 9 | 5 |
| 10 – 19 | 9 |
| 20 – 29 | 16 |
| 30 – 39 | 22 |
| 40 – 49 | 26 |
| 50 – 59 | 18 |
| 60 – 69 | 11 |
| 70 – 79 | 6 |
| 80 – 89 | 4 |
| 90 – 99 | 3 |
Find the mean of the following frequency distribution by the step deviation method :
| Class | 100-110 | 110-120 | 120-130 | 130-140 | 140-150 |
| Frequency | 15 | 18 | 32 | 25 | 10 |
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is, increased by 3
If the mean of 8, 10, 7, x + 2 and 6 is 9, find the value of x.
The median class for the given distribution is:
| Class Interval | 1 - 5 | 6 - 10 | 11 - 15 | 16 - 20 |
| Cumulative Frequency | 2 | 6 | 11 | 18 |
Median is one of the observations in the data if number of observations is ______.
