Question

28.
Find the mean, median and mode of the following data
15, 17, 16, 14, 17, 16, 11, 15, 17, 14
.40
​

Answer 1

Answer:

Mean

we can arrange the given data in ascending order

11,14,15,15,16,16,17,17,17,40.

no. of observation = 10 ( even)

mean= x bar = sum of observation / total number of observation

= 11+14+15+15+16+16+17+17+17+40 /10

= 178/10

= 17.8

=mean = 17.8

median

arrange in ascending order

11,14,15,15,16,16,17,17,17,40.

no. of observation =10(even)

median =m = (n/2)th observation + (n +1 /2) th observation /2

= 10/2 observation + 10+1/2 observation /2

5/2+6/2 /2

16+16/2

32/2

median = 16

Mode denoted to Z mode is 17 because 17 is repeat 3 time