Question

Canculate Mean,Median and Mode for the following data ------

-1,0,1,2,3,5,5,6,8,10,11

Answer 1

Answer:

Mean: 4.54

Median: 5

Mode: 5

Step-by-step explanation:

Here, given data:

-1, 0, 1, 2, 3, 5, 5, 6, 8, 10, 11

Mean = (-1+0+1+2+3+5+5+6+8+10+11)/(11) = (41-1)/11 = 50/11 = 4.54

Median To find the median, first arrange the given data into either ascending or descending order. Here, the given data is already in ascending order. No. of terms = 11. This means 'n' is odd. Thus, median

= (n+1)/2 th term = (11+1)/2 th term = (12)/2 th term = 6 th term in the series.

The sixth term in the series is 5. Thus, 5 is the median.

Now, Mode Mode is the term that occurs the maximum no. of times. In the given data, 5 occurs 2 times and rest all numbers occur 1 time. Hence 5 is the mode.

Hope it helps.