Advertisements
Advertisements
Question
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?
Options
81
40
100
71
Advertisements
Solution
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
RELATED QUESTIONS
Solve any two of the following.
In some families in a colony the daily purchase of milk in litre is 1, 3, 2, 2, 4, 1, 2, 2, 1. Find the mean, median and mode of daily purchase of milk.
The number of members in the 40 families in Bhilar are as follows:
1, 6, 5, 4, 3, 2, 7, 2, 3, 4, 5, 6, 4, 6, 2, 3, 2, 1, 4, 5, 6, 7, 3, 4, 5, 2, 4, 3, 2, 3, 5, 5, 4, 6, 2, 3, 5, 6, 4, 2. Prepare a frequency table and find the mean of members of 40 families.
Two vessels contain 20 liters and 60 liters of milk respectively. What is the amount that each vessel would have if both share the milk equally?
The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the minimum mark obtained
The mean height of 11 students in a group is 150 cm. The heights of the students are 154 cm, 145 cm, Y cm, Y + 4 cm, 160 cm, 151 cm, 149 cm, 149 cm, 150 cm, 144 cm and 140 cm. Find the value of Y and the heights of two students?
The mean of first fifteen even numbers is ____________
The mean of a data is defined as ______.
The following are weights (in kg) of 12 people.
70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60.
- Find the mean of the weights of the people.
- How many people weigh above the mean weight?
- Find the range of the given data.
The following are weights (in kg) of 12 people. 70, 62, 54, 57, 62, 84, 75, 59, 62, 65, 78, 60. How many people weigh above the mean weight?
Find the mean of first six multiples of 4.
