find the mean, mediam and mode of the following given number 1,2,3,4,3,3,4,5,6,3,2,3
Answers
Step-by-step explanation:
Mean : (1+2+3+4+3+3+4+5+6+3+2+3)/12 = 39/12 = 3.25
Mode is '3' as it is the most occurring number
Median is '3'.
Arrange them in ascending order => 1,2,2,3,3,3,3,34,4,5,6
Now,the middle elements are 3 and 3.So, find average for them that is, (3+3)/2=6/2=3.
Hint: To solve this question, we will use the formula of mean given as Mean=Sum of all observationsnumber of observations.
From the given data, we will calculate the sum of all the observations having p in it and by using the above formula we will calculate the value of p.
Complete step-by-step answer:
The data is given as
3, 5, 7, 9, 11, 13, 6, 8, 15, p, 8, 4
The sum of all the given observations is given by
3+5+7+9+11+13+6+8+15+p+8+4
Let it be S. Therefore, we get,
S=89+p
Then the sum of all the observations is given as,
S=89+p
The number of observations is given as 12. Finally, we will calculate the mean by using the formula Mean=Sum of all observationsnumber of observations.
Substituting the value of the sum of all observations as 89 + p and that of the number of observations as 12. Also, the mean of the given distribution is given as 7.68. So, substituting all these values in the above formula, we get,
Mean=7.68=89+p12
⇒7.68=89+p12
⇒7.68×12=89+p
⇒92.16=89+p
⇒p+89=92.16
⇒p=92.16−89
⇒p=3.16
Hence, we have determined the value of p as
Helps you .Mark as brainlist.