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Answer:
The 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.
Step-by-step explanation:
The given data set is
126, 128, 131, 135, 136, 140, 143, 145, 147, 148, 152, 154, 155, 156, 159, 162, 164, 166, 169, 175
The minimum value of the data is 126 and the maximum value of the data is 175.
Divide the data in two equal parts.
(126, 128, 131, 135, 136, 140, 143, 145, 147, 148), (152, 154, 155, 156, 159, 162, 164, 166, 169, 175)
The median of the data is
Now divide each parenthesis in two equal parts.
(126, 128, 131, 135, 136), (140, 143, 145, 147, 148), (152, 154, 155, 156, 159), (162, 164, 166, 169, 175)
Therefore the 5-number summary is maximum= 175, minimum=126, median=150, Q₁=138 and Q₃=160.5.
