Home
Class 12
MATHS
In an English learning classes, there ar...

In an English learning classes, there are 8 men, 7 women and 5 children whose mean ages separately are respectively 24, 20 and 6 yr. The mean age of English learning classes candidate is

A

`18.0`

B

`18.1`

C

`18.2`

D

`18.3`

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean age of the English learning classes candidates, we will follow these steps: ### Step 1: Identify the given data - Number of men (n1) = 8 - Mean age of men (x1) = 24 years - Number of women (n2) = 7 - Mean age of women (x2) = 20 years - Number of children (n3) = 5 - Mean age of children (x3) = 6 years ### Step 2: Calculate the total age for each group - Total age of men = n1 * x1 = 8 * 24 = 192 years - Total age of women = n2 * x2 = 7 * 20 = 140 years - Total age of children = n3 * x3 = 5 * 6 = 30 years ### Step 3: Calculate the overall total age - Overall total age = Total age of men + Total age of women + Total age of children - Overall total age = 192 + 140 + 30 = 362 years ### Step 4: Calculate the total number of candidates - Total number of candidates = n1 + n2 + n3 = 8 + 7 + 5 = 20 ### Step 5: Calculate the mean age of the English learning classes candidates - Mean age (A) = Overall total age / Total number of candidates - Mean age (A) = 362 / 20 = 18.1 years ### Final Answer The mean age of the English learning classes candidates is **18.1 years**. ---
Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |4 Videos

  • SOLVED PAPER 2018

    BITSAT GUIDE|Exercise Mathematics (Part-IV)|45 Videos

  • THE CIRCLE

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |18 Videos

Similar Questions

Explore conceptually related problems

There are 48 students in a class with the age of one of the students being twice that of the age of another. If these two students are replaced by two others whose ages are 16 years and 11 years respectively, the average age of the class increases by 1.5 month. Find the age of the younger of the two students.

The mean and variance of 7 observations are 8 and 16 respectively. If two observations are 6 and 8, then the variance of the remaining 5 observations is :

The average age of 8 children of a family is 12 yr. If the age of 7 children are 12,18,14,11,9,13 and 5 yr, then the age of the 8th child will be

The average age of all the 20 students of a class is 24. The minimum age of a student is 18 and the maximum age of another student in the same class is 30 years. When the two students whose average age was 26 years resticted from the class but later on one of the resticated student was readmitted. Now the average age of the class is:

The average age of 30 boys in a class is 15 years. One boy aged 20 years, left the class, but two new boys came in his place whose ages differ by 5 years. If the average age of all the boys now in the class still remains 15 years, the age of the younger newcomer is: