The mean of the median, the mode and the range of the data:
15, 10. 17. 13. 25. 17. 11, 18, 14, 19. 12. 20 is
Answers
Answer:
HOPE YOU UNDERSTAND DON'T REPORT PLZ
Step-by-step explanation:
x
10
11
12
13
14
15
f
1
4
7
5
9
8
for a frequency distribution,
So, total number of observation =(1+4+7+5+9+8)=34
It is a even number.
So, median is the value of average of values at (
2
n
)
th
and (
2
n+2
)
th
.
∴ Here, median is the average of the values at (
2
34
)
th
or 17
th
position and (
2
34+2
)
th
or 18
th
position.
x 10 11
12
13
14
15
f
1
4
7
5 9
8
position
1
1+4=5
5+7=12
12+5=17
17+9=26
26+8=34
So, value of x at 17
th
position is 13 and at 18
th
position is 14.
∴Median=(
2
13+14
)=
2
27
=13.5.
Mode for a frequency distribution is the value which is the most common frequent value.
Here 14 has frequency 9 which is highest. So, mode for the frequency distribution is 14.
Solution :-
Arranging the given data in ascending order we get :- 10, 11, 12, 13, 14, 15, 17, 17, 18, 19, 20, 25 = Total 12 .
So,
→ Median = (6th observation + 7th observation)/2
→ Median = (15 + 17)/2 = 16
and,
→ Mode = 17 ( since 17 appears two times.)
and,
→ Range = Highest - Lowest = 25 - 10 = 15
then,
→ Required mean = (Median + Mode + Range)/3
→ Required mean = (16 + 17 + 15)/3
→ Required mean = (48/3)
→ Required mean = 12 (Ans.)
Learn more :-
calculate the median and mode from the following income between (rs)100-200 100-300 100-400 100-500 100-600 no of person...
https://brainly.in/question/23585381
Some students of class X donated for the welfare of old age persons. The contributions are shown in the following distri...
https://brainly.in/question/17314012