Question

In January 2015, the number of children in 10 families of a locality are:
4, 3, 4, 0, 2, 2, 5, 2, 1 ,3
Find the mean, median and mode.
At the end of the year, two families having children 0 and 1 vacated the house. As a result, two more families having children 2 and 5 got the vacant accomodation. Find the new mean, median and mode​

Answer 1

Mean=2.6

New mean=2.75

Median=New  median=2.5

Mode=New mode=2

Step-by-step explanation:

Arrange in ascending order

0,1,2,2,2,3,3,4,4,5

Mean=$\frac{sum\;of\;observations}{total\;number\;of\;observations}$

Mean=$\frac{0+1+2+2+2+3+3+4+4+5}{10}=2.6$

Mean=2.6

Total number of observations=n=10=even

Median=$\frac{nth+(n+1)th}{2}=\frac{(\frac{10}{2})^{th}+(\frac{10}{2}+1)^{th}}{2}$

Median=$\frac{5th+6th}{2}=\frac{2+3}{2}=\frac{5}{2}=2.5$

Median=2.5

Mode: It is defined as the number which repeated most.

2 is repeated most

Mode=2

New mean=$\frac{26+2+5}{12}=2.75$

New mean=2.75

0,1,2,2,2,2,3,3,4,4,5,5

Total number of observations=n=12

Median=$\frac{(\frac{12}{2})th+(\frac{12}{2}+1)th}{2}=\frac{6th+7th}{2}=\frac{2+3}{2}=2.5$

New median=2.5

New mode=2

#Learns more:

https://brainly.in/question/13746145

Answer 2

Answer:

Mean=2.6

New mean=2.75

Median=New  median=2.5

Mode=New mode=2

Step-by-step explanation:

Arrange in ascending order

0,1,2,2,2,3,3,4,4,5

Mean=

Mean=

Mean=2.6

Total number of observations=n=10=even

Median=

Median=

Median=2.5

Mode: It is defined as the number which repeated most.

2 is repeated most

Mode=2

New mean=

New mean=2.75

0,1,2,2,2,2,3,3,4,4,5,5

Total number of observations=n=12

Median=

New median=2.5

New mode=2

#Learns more:

brainly.in/question/13746145