Advertisements
Advertisements
प्रश्न
The following numbers are arranged in ascending order: 2, 3, x, y, 7, 9, 12, 14. If their median is 6 and mean is 7, find x and y.
योग
Advertisements
उत्तर
The median is given as 6.
Since there are 8 numbers, the median is the average of the 4th and 5th numbers.
`(y + 7)/2` = 6
y + 7 = 6 × 2
y + 7 = 12
y = 12 − 7
y = 5
Mean = 7
`"Sum of all numbers"/8` = 7
Sum of all numbers = 7 × 8
= 56
2 + 3 + 7 + 9 + 12 + 14 = 47
Add x + y
47 + x + y = 56
x + y = 56 − 47
x + y = 9
since, y = 5
x + 5 = 9
x = 9 − 5
x = 4
∴ x = 4 and y = 5
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
