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प्रश्न
The median of observation 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the values of x
उत्तर
The given observation is 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 ...(is ascending order)
The number of values = 10
Median = Average of `(10/2)^"th"` and `(10/2 + 1)^"th"` value
= Average of 5th and 6th value
24 = `(x + 2 + x + 4)/2`
24 = `(2x + 6)/2`
2x + 6 = 48
2x = 48 – 6
2x = 42
x = `42/2`
= 21
The value of x = 21
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संबंधित प्रश्न
Find the mean of the following set of numbers:
6, 9, 11, 12 and 7
Using the information given in the adjoining histogram, calculate the mean.
Attempt this question on a graph paper. The table shows the distribution of marks gained by a group of 400 students in an examination.
|
Marks (Less than ) |
10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 | 90 | 100 |
| No.of student | 5 | 10 | 30 | 60 | 105 | 180 | 270 | 355 | 390 | 400 |
Using scaie of 2cm to represent 10 marks and 2 cm to represent 50 student, plot these point and draw a smooth curve though the point
Estimate from the graph :
(1)the median marks
(2)the quartile marks.
Find the mean of the following frequency distribution :
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Frequency | 4 | 4 | 7 | 10 | 12 | 8 | 5 |
Find the mode of the following:
6, 7, 1, 8,6,5, 9, 4, 6, 7, 1,3, 2, 6, 7,8
Draw a histogram for the following distribution and estimate the mode:
| I.Q. Score | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
| No. of Students | 6 | 9 | 16 | 13 | 4 | 2 |
Find the rnedian of the first 15 whole numbers .
Find the mean of first six natural numbers.
Find the median of 26, 33, 41, 18, 30, 22, 36, 45 and 24
An incomplete frequency distribution is given below
| Variate | Frequency |
| 10 – 20 | 12 |
| 20 – 30 | 30 |
| 30 – 40 | ? |
| 40 – 50 | 65 |
| 50 – 60 | 45 |
| 60 – 70 | 25 |
| 70 – 80 | 18 |
| Total | 229 |
Median value is 46, the missing frequency is:
