4. 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
result, two more families having children 2 and 5 got the vacant accommodation. Find
the new mean, median and mode.
Answers
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=\frac{sum\;of\;observations}{total\;number\;of\;observations}
totalnumberofobservations
sumofobservations
Mean=\frac{0+1+2+2+2+3+3+4+4+5}{10}=2.6
10
0+1+2+2+2+3+3+4+4+5
=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}
2
nth+(n+1)th
=
2
(
2
10
)
th
+(
2
10
+1)
th
Median=\frac{5th+6th}{2}=\frac{2+3}{2}=\frac{5}{2}=2.5
2
5th+6th
=
2
2+3
=
2
5
=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
12
26+2+5
=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
2
(
2
12
)th+(
2
12
+1)th
=
2
6th+7th
=
2
2+3
=2.5
New median=2.5
New mode=2
Answer:
mean = 4+3+4+0+2+2+5+2+1+3
-------------------------------------
10
= 26. = 2.6
----------
10
so, the mean is 2.6
median ;
the central number is called the median. so, here the median is 2.
mode:
convert numbers in ascending order :
0,1,2,2,2,3,3,4,4,5
so 2 is mode here.