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प्रश्न
Monthly consumption of electricity (in units) of families in a certain locality is given below:
205, 201, 190, 188, 194, 172, 210, 225, 215, 232, 260, 230.
Calculate electricity consumption (in units) below which 25% of families lie.
बेरीज
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उत्तर
Arrange the data in ascending order
Given values (units):
205, 201, 190, 188, 194, 172, 210, 225, 215, 232, 260, 230
Arranged:
172, 188, 190, 194, 201, 205, 210, 215, 225, 230, 232, 260
Q1 position `= (n+1)/4`
Q1 position `= (12+1)/4 = 13/4` = 3.25
So Q1 lies between the 3rd and 4th values.
3rd value = 190
4th value = 194
Q1 = 190 + 0.25 × (194 − 190)
Q1 = 190 + 0.25 × 4 = 190 + 1
= 191
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