Question

Classify the data into groups by making 7 number of classes. Also calculate the frequency, relative frequency and class mark for each class.100, 89, 70, 44, 60, 75, 80, 77, 44, 40, 57, 65, 58, 90, 85, 61, 49, 76, 93, 52, 87, 43, 51, 73, 82, 69, 71, 41, 91, 47

Answer 1

Given:

100, 89, 70, 44, 60, 75, 80, 77, 44, 40, 57, 65, 58, 90, 85, 61, 49, 76, 93, 52, 87, 43, 51, 73, 82, 69, 71, 41, 91, 47

To find:

Clas. Clas distribution. Frequency

40-49. 44, 44, 40, 49, 43, 41,47. 7

50-59 57, 58, 52, 51, 4

60-69. 60, 65, 61, 69. 4

70-79. 70, 75, 77, 76, 73, 71. 6

80-89 89, 80, 85, 87, 82. 5

90-99 90, 93, 91. 3

100-109. 100. 1

n = 30

Solution:

Clas Relative Frequency. Clas mark

40-49. 7/30 = 0.2333 40+49/2 = 44.5

50-59. 4/30 = 0.1333 50+59/2 = 54.5

60-69. 4/30 = 0.1333. 60+69/2 = 64.5

70-79. 6/30 = 0.20. 70+79/2 = 74.5

80-89 5/30 = 0.1667. 80+89/2 = 84.5

90-99 3/30 = 0.10 90+99/2 = 94.5

100-109. 1/30 = 0.0334. 100+109/2 = 104.5