Question

find the arithmetic mean of following data. x: 1 2 3 4 5 6 7. y: 5 9 12 17 14 10 6​

Answer 1

Answer:

4 and 10.42

add all x/7= 28/7

add all y/7= 73/7

Answer 2

Mean of the given data is approximate 4.096

Given:

x: 1   2  3    4    5   6   7

y: 5  9  12  17   14  10  6​

To Find:

Arithmetic Mean

Solution:

$& \text{Mean}=\dfrac{\text{sum of all the obervations}}{\text{number of the observations}} \\ & \text{Mean}=\overline{x}=\dfrac{\sum\limits_{i=1}^{n}{{{X}_{i}}}}{n} \\ & \text{Mean}=\overline{x}=\dfrac{\sum fx}{\sum f}$

Here x is the observation value and  y is the frequency

x              y            x.y

1               5            5        

2              9            18

3              12            36

4              17            68

5              14            70

6              10            60

7               6             42

Total       73            299

Mean = 299/73

Mean ≈ 4.096

Mean of the given data is approximate 4.096