Question

Find mean , median , range of the following data 21 ,15 ,19 , 23 ,16 ,20 , 19 ,11 , 16 , 22

Answer 1

Answer:

mean=184

Step-by-step explanation:

mean=sum of all no.

median=19

I'll hope it will be help you

Answer 2

Mean is 18. Mode is 16 and 19. Median is 19.

Step-by-step explanation:

1. Arranging the given data in ascending order

  11 , 13, 16, 16, 19, 19, 20, 21, 22, 23

  Total number of data (N) =10

2. $\mathbf{Mean \ (\bar{X})=\frac{\sum x_{i}}{N}}$

   So

   $\mathbf{\bar{X}=\frac{11+13+16+16+19+19+20+21+22+23}{10}}$

   $\mathbf{\bar{X}=\frac{180}{10}=18}$ = Value of mean

3. Mode is maximum number of a particular data appear.

   From given series of data, 16 appear two times and 19 also     appear two times.

   Mode = 16 and 19

4. Here total number of data is even.So median is

   $\mathbf{Median =\frac{(\frac{N}{2})^{th \ term}+(\frac{N}{2}+1)^{th \ term}}{2}}$

   $\mathbf{Median =\frac{(\frac{10}{2})^{th \ term}+(\frac{10}{2}+1)^{th \ term}}{2}}$

 

   $\mathbf{Median =\frac{(5)^{th \ term}+(6)^{th \ term}}{2}}$

   where fifth term = 19

   and    sixth term = 19

   $\mathbf{Median =\frac{19+19}{2}=19}$