Question

Consider the data:

30	19	27	1	43
5	35	16	24	41
29	35	11	50	13
19	5	15	4	43

Using the given data find the following.

first quartile (Q1)	second quartile (Q2)	third quartile (Q3)
IQR	mean	min
max

If there are 5 classes, the class width should be .

Important notes

***Lower bound should be closed and upper bound should be open.

According to this information please fill in the blanks in the frequency distribution table.

	Lower bound	Upper bound	Frequency	Relative frequency
Class 1
Class 2
Class 3
Class 4
Class 5

Answer 1

Median=0.5(n+1)th value =    10.5th value of sorted data=   21.50
      
quartile , Q1 = 0.25(n+1)th value=   5.25th value of sorted data=   11.50
      
Quartile , Q3 = 0.75(n+1)th value=   15.75th value of sorted data=   35.00
IQR = Q3-Q1 =    35-11.5=   23.50
mean =    ΣX/n =    465/20=   23.25
maximum =    50
minimum=   1
============

class width = 11

lower limit	upper limit					frequency	relative frequency=fi/N
1	11					4	0.200
11	21					6	0.300
21	31					4	0.200
31	41					2	0.100
41	51					4	0.200