What is the mean of the mode and median of the data given below?
8. 7, 5, 4, 9, 1, 3, 7, 6, 5, 2, 1, 6, 3, 9, 8, 4, 6
Answers
ANSWER
a) Mean=
Total no. of observations
sum of the number
⇒ Mean=
40
2+3+4+3+5+5+6+7+8+9+6+6+5+3+13+7+8+8+2+9+11+7+8+4+5+45+48+60+42+53+47+51+54+49+48+47+53+48+44+46
⇒ Mean=
40
119+770
,
40
889
=22.2
∴ Mean=22.2
b) To arrange data in ascending order
Median : 2,2,3,3,3,4,4,5,5,5,5,6,6,6,7,7,7,8,8,8,8,9,9,11,13,42,44,45,46,47,48,48,49,51,53,53,54,60.
Median =
2
8+8
=
12
6
=8
c)
Mode :- The only number which appears multiple times
Mode =2,3,4,5,6,7,8,9,48,53
d) Range: The subtract the smallest number from the largest number
=60−2=58
∴ Range =58
Answer:
Correct answer is 5.75
Step-by-step explanation:
•Finding Mode:
Mode is most repeated number in the data set. so
Mode=6
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•Finding Median:
The median is found by ordering the given set from lowest to highest and finding the exact middle.
ordered set of given data is:
1,1,2,3,3,4,4,5,5,6,6,6,7,7,8,8,9,9
Since it is an even number of numbers, we have to add the two middles and divide by 2. Then result will be the median.
(5+6)/2=5.5
Median= 5.5
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•Finding Mean of Mode and Median:
Mean= Sum of objects/Total no of objects
Mean=(Mode+Median)/2
Mean= (6+5.5)/2
Mean= 11.5/2
MEAN= 5.75
Hence, the mean of the mode and median of the data given is 5.75