Question

Find the mean of the following sets of data.
1. 5,7,13,18,25,18
2. ₹50,₹42.80,₹12,₹16​

Answer 1

Solution :-

1. 5, 7, 13, 18, 25, 18.

Sum of all observations

= 5 + 7 + 13 + 18 + 25 + 18 = 86

Total number of observations = 6

Mean = $\frac{Sum\:\:of\:\:all\:\:observations}{Total\:\:number\:\:of\:\:observations}=\frac{86}{6} = 14.3$

2. ₹50, ₹42.80, ₹12, ₹16​

Sum of all observations

= ₹(50 + 42.80 + 12 + 16) = ₹120.8

Total number of observations = 4

Mean = $\frac{Sum\:\:of\:\:all\:\:observations}{Total\:\:number\:\:of\:\:observations}=\frac{Rs.\:120.8}{4} = Rs.\:30.2$

Answer :-

Mean of 5, 7, 13, 18, 25, 18 = 14.3

Mean of ₹50, ₹42.80, ₹12, ₹16​ = Rs. 30.2

More Information :-

$\star$ Mean is the average of numbers or we can say that it is the ratio of Sum of all observations to the Total number of observations.

$\star$ Median is the middle number of the sorted numbers in ascending or descending order.

Median Formula = (), where n is number of terms.

$\star$ Mode is the number that appears the most in a set or group of numbers.

Answer 2

Solution :-

1. 5, 7, 13, 18, 25, 18.

Sum of all observations

= 5 + 7 + 13 + 18 + 25 + 18 = 86

Total number of observations = 6

Mean = $\frac{Sum\:\:of\:\:all\:\:observations}{Total\:\:number\:\:of\:\:observations}=\frac{86}{6} = 14.3$

2. ₹50, ₹42.80, ₹12, ₹16

Sum of all observations

= ₹(50 + 42.80 + 12 + 16) = ₹120.8

Total number of observations = 4

Mean = $\frac{Sum\:\:of\:\:all\:\:observations}{Total\:\:number\:\:of\:\:observations}=\frac{Rs.\:120.8}{4} = Rs.\:30.2$

Hence;

• Mean of 5, 7, 13, 18, 25, 18 = 14.3
• Mean of ₹50, ₹42.80, ₹12, ₹16 = Rs. 30.2