Advertisements
Advertisements
प्रश्न
The following data has been arranged in ascending order.
0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.
Find the value of x, if the median is 5.
उत्तर
Data in ascending order:
0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.
Here, total number of observation = n = 10 (even)
Median = 5
⇒ `(("n"/2)^"th" "term" + ("n"/2 + 1)^"th" "term")/(2)` = 5
⇒ `(5^"th" "term" + 6^"th" "term")/(2)` = 5
⇒ `((x + 1) + (x + 5))/(2)` = 5
⇒ 2x + 6 = 10
⇒ 2x = 4
⇒ x = 2.
APPEARS IN
संबंधित प्रश्न
Find the mean of the following set of numbers:
11, 14, 23, 26, 10, 12, 18 and 6
Find the mean, median and mode of the following marks obtained by 16 students in a class test marked out of 10 marks:
0, 0, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 6, 7 and 8.
The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m – 1 and median q. Find p and q.
The heights of 9 persons are 142 cm, 158 cm, 152 cm, 143 cm, 139 cm, 144 cm, 146 cm, 148 cm and 151 cm. Find the mean height.
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Marks(more than) | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |
| No. of students | 6 | 13 | 22 | 34 | 48 | 60 | 70 | 78 | 80 | 80 |
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: 5, 2.4, 6.2, 8.9, 4.1 and 3.4
The mean of 18, 28, x, 32, 14 and 36 is 23. Find the value of x. Sum of data
The weekly sale of motor bikes in a showroom for the past 14 weeks given below. 10, 6, 8, 3, 5, 6, 4, 7, 12, 13, 16, 10, 4, 7. Find the median of the data.
A die was thrown 15 times and the outcomes recorded were 5, 3, 4, 1, 2, 6, 4, 2, 2, 3, 1, 5, 6, 1, 2. Find the mean, median and mode of the data.
