The following are the ages of 30 persons.
35, 32, 21, 43, 39, 60, 36, 12, 54, 45, 37, 53, 45, 23, 64, 10, 34, 22, 36, 45, 55, 44, 55, 46, 22, 38,
35, 56, 45, 57
Construct
(a) Histogram
(b) Grouped Median
Answers
Answer:
b) group median is the correct option
Given : 35, 32, 21, 43, 39, 60, 36, 12, 54, 45, 37, 53, 45, 23, 64, 10, 34, 22, 36, 45, 55, 44, 55, 46, 22, 38, 35, 56, 45, 57
To Find :
(a) Construct Histogram
(b) Grouped Median
Solution:
ungrouped median :
10 12 21 22 22 23 32 34 35 35 36 36 37 38 39
43 44 45 45 45 45 46 53 54 55 55 56 57 60 64
39 and 43 are middle two terms
Hence ungrouped median : (39 + 43)/2 = 41
CI f cf
10 - 20 2 2
20 - 30 4 6
30 - 40 9 15
40 - 50 7 22
50 - 60 6 28
60 - 70 2 30
Grouped median : = 40
Histogram: a graphical display of data using bars of different heights. It is similar to a Bar Chart, but a histogram groups numbers into ranges
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