Advertisements
Advertisements
प्रश्न
The median of observations 10, 11, 13, 17, x + 5, 20, 22, 24 and 53 (arranged in ascending order) is 18; find the value of x.
उत्तर
Total number of observations = 9(odd)
Now, if n = odd
Median = `(( n + 1)/2)^"th" "term"`
⇒ Median = `(( 9 + 1)/2)^"th" "term"` = 5th term = x + 5
Now, Median = 18 ...(given)
∴ x + 5 = 18
⇒ x = 13.
APPEARS IN
संबंधित प्रश्न
Using step-deviation method, calculate the mean marks of the following distribution.
| C.I. | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 | 70 – 75 | 75 – 80 | 80 – 85 | 85 – 90 |
| Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
The following table shows the expenditure of 60 boys on books. Find the mode of their expenditure:
| Expenditure (Rs) | No. of students |
| 20 – 25 | 4 |
| 25 – 30 | 7 |
| 30 – 35 | 23 |
| 35 – 40 | 18 |
| 40 – 45 | 6 |
| 45 – 50 | 2 |
The data on the number of patients attending a hospital in a month are given below. Find the average (mean) number of patients attending the hospital in a month by using the shortcut method. Take the assumed mean as 45. Give your answer correct to 2 decimal places.
| Number of patients | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 |
| Number of Days | 5 | 2 | 7 | 9 | 2 | 5 |
Draw a histogram for the following distribution and estimate the mode:
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| No. of students | 3 | 7 | 15 | 24 | 16 | 8 | 5 | 2 |
Find the median of:
233, 173, 189, 208, 194, 204, 194, 185, 200 and 220.
The following data have been arranged in ascending order. If their median is 63, find the value of x.
34, 37, 53, 55, x, x + 2, 77, 83, 89 and 100.
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is, increased by 3
Find the mean of: 2.1, 4.5, 5.2, 7.1 and 9.3
The marks in a subject for 12 students are as follows:
31, 37, 35, 38, 42, 23, 17, 18, 35, 25, 35, 29
For the given data, find the median
The median of the following observations arranged in ascending order is 64. Find the value of x:
27, 31, 46, 52, x, x + 4, 71, 79, 85, 90
