Question

Find the median and range of the following data 4,5,3,6,3,5,3,4,3

Answer 1

Step-by-step explanation:

Answer

a) Mean=

Total no. of observations

sum of the number

⇒ Mean=

40

2+3+4+3+5+5+6+7+8+9+6+6+5+3+13+7+8+8+2+9+11+7+8+4+5+45+48+60+42+53+47+51+54+49+48+47+53+48+44+46

⇒ Mean=

40

119+770

,

40

889

=22.2

∴ Mean=22.2

b) To arrange data in ascending order

Median : 2,2,3,3,3,4,4,5,5,5,5,6,6,6,7,7,7,8,8,8,8,9,9,11,13,42,44,45,46,47,48,48,49,51,53,53,54,60.

Median =

2

8+8

=

12

6

=8

c)

Mode :- The only number which appears multiple times

Mode =2,3,4,5,6,7,8,9,48,53

d) Range: The subtract the smallest number from the largest number

=60−2=58

∴ Range =58