Advertisements
Advertisements
प्रश्न
The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?
विकल्प
81
40
100
71
Advertisements
उत्तर
81
Explanation:
Mean of three numbers = 40 and lowest number = 19 ...[Given]
Let the three observations be 19, x and y, respectively.
∴ Mean = `"Sum of all observations"/"Total number of observations"`
⇒ `40 = (19 + x + y)/3` ...[∵ Mean = 40, given]
⇒ 3 × 40 = 19 + x + y
⇒ 120 = 19 + x + y
⇒ x + y = 120 – 19
⇒ x + y = 101 ...(i)
Since, 19 is the lowest observation.
Hence, for the highest possible value of the remaining two numbers, one must be 20.
Let x = 20
From equation (i), we get
20 + y = 101
⇒ y = 101 – 20
⇒ y = 81
APPEARS IN
संबंधित प्रश्न
Solve any two of the following.
Find the mean of the data given in the following table.
| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Frequency | 6 | 4 | 5 | 7 | 3 |
The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.
The average of integers between −10 to 10 is __________
Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14. Find the mean age of the students
The mean of runs scored by a cricket team in the last 10 innings is 276. If the scores are 235, 400, 351, x, 100, 315, 410, 165, 260, 284, then find the runs scored in the fourth innings
The mean of first fifteen even numbers is ____________
The mean of a data is defined as ______.
If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is ______.
Calculate the Mean, Median and Mode of the following data:
5, 10, 10, 12, 13.
Are these three equal?
In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?
