Question

Find the mode and median of the data: 12, 36, 12, 14, 29, 12, 24, 6, 33, 20, 12 ​

Answer 1

Given :  Data

12, 36, 12, 14, 29, 12, 24, 6, 33, 20, 12 ​

To Find : Mode and Median

Solution:

Median is the middle most value or mean of two middle values

Mode is the value which occurs most of time

Mode can be more than one also or  no mode at all

12, 36, 12, 14, 29, 12, 24, 6, 33, 20, 12 ​

Arrange the Data in order

6 , 12 , 12 , 12 , 12 , 14 , 20 , 24 , 29 , 33 , 36

Total 11 terms

Middle term  = (11 + 1)/2 = 6th Term

6th term  is  14

Hence Median is 14

Data  frequency

6            1

12           4

14           1

20           1

24           1

29           1

33            1

36            1

Value 12 has max frequency 4

Hence Mode of the data is  12

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Answer 2

Answer:

12, 36, 12, 14, 29, 12, 24, 6, 33, 20, 12

Arrange the Data in order

6, 12, 12, 12, 12, 14, 20, 24, 29, 33, 36

Total 11 terms

Middle term = (11 + 1)/2 = 6th Term

6th term is 14

Hence Median is 14.

Value 12 has max frequency= 4.(Refer to attachment)

Hence Mode of the data is 12.