Find the Arithmetic mean from the following data x1= 3,5,7,9,and11
Answers
Answer:
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Explanation:
Mean :
step 1 Address the formula, input parameters & values.
Formula:
µ =
n
∑
i = 0
Xi
n
Input parameters & values
x1 = 1; x2 = 3, . . . . , x6 = 11
number of elements n = 6
Find sample or population mean for 1, 3, 5, 7, 9 & 11
step 2 Find the sum for dataset 1, 3, 5, 7, 9 & 11
µ =
n
∑
i = 0
Xi
n
=(1 + 3 + 5 + . . . . + 11)
6
step 3 Divide the sum by number of elements of sample or population
=36
6
= 6
Mean (1, 3, 5, 7, 9, 11) = 6
6 is the mean for dataset 1, 3, 5, 7, 9 & 11 from which the standard deviation about to be measured to estimate the common variation of the sample or population dataset from its central location.
Median :
step 1 To find Median, arrange the data set values in ascending order
Data set in ascending order : 1, 3, 5, 7, 9, 11
step 2Since the total number of elements in the dataset is 6 (EVEN number), the median is the average of 3rd and 4th elements (two middle numbers) for the above dataset.
Therefore,
5 + 7
2
= 6
Median = 6
Mode :
step 1 To find Mode, check for maximum repeated elements in the asending ordered dataset 1, 3, 5, 7, 9, 11
No mode available for the above dataset