Question

A test was given to a group of 40 candidates for a job the test was completed by the candidates in the following time (In min ):
36,31,42,26,27,44,30,42,40,26,28,49,47,46,36,37,42,40,41,32,30,49,48,33,34,35,45,44,40,42,48,27,35,41,28,30,42,48,39,
Prepare a grouped frequency table for these data with the class intervals 25-30,30-35 etc draw a histogram

Answer 1

Answer:

Step-by-step explanation:

Class Interval

Frequency

10-20

20-30

30-40

40-50

50-60

60-70

 

10

12

7

7

8

3

 

(i) For Cumulative Frequency 30−40 frequency is 7

(ii) Size is 11

Mid point for cumulative frequency 30−40 is 35.

(iii) Range =70−10=60

Answer 2

(a) 23, 35, 28, 33, 5, 12, 40, 25, 20, 18, 1, 16

1, 5, 12, 16, 18, 20 23, 25, 28, 33, 35, 40

n = 12 M = (20 + 23)/ 2 = 21.5

Q1 = (12 + 16) / 2 = 14 Q3 = (28 + 33) /2 = 30.5

(b) 22, 33, 25, 28, 5, 12, 35, 23, 20, 18, 1, 40, 16

1, 5, 12, 16, 18, 20 | 22 | 23, 25, 28, 33, 35, 40

n = 13 M = 22 Q1 = 14 Q3 = 30.5

(c) 20, 28, 23, 25, 3, 5, 33, 22, 18, 16, 40, 1, 35, 12

1, 3, 5, 12, 16, 18, 20, 22, 23, 25, 28, 33, 35, 40

n = 14 M = (20 + 22)/2 = 21 Q1 = 12 Q3 = 28

(d) 20, 28, 23, 25, 3, 5, 30, 22, 18, 40, 16, 35, 1, 33, 12

1, 3, 5, 12, 16, 18, 20 | 22 | 23, 25, 28, 30, 33, 35, 40

n = 15 M = 22 Q1 = 12 Q3 = 30