Answer: Hence, Mean height of the girls is: 1.48
Step-by-step explanation: It is given that:
in a class of 32 students .
the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.
Since there are 14 boys in a class.
So, number of girls is equal to (32-14)=18.
The mean height of 14 boys is 1.56.
Hence the sum of height of 14 boys is= 1.56×14=21.84
Similarly mean height of 32 students is 1.515.
Hence, sum of height of 32 students=1.515×32=48.48.
Let x denote the mean height of 18 girls.
Hence, sum of height of 18 girls is: 18 x.
Now,
18x+21.84=48.48
( since sum of height of girls and boys is equal to the sum of height of all the students)
so, 18x=48.48-21.84
18 x=26.64
Hence, x=1.48
Hence, Mean height of the girls is: 1.48
