River-stage observers recorded the water-level deviations (in cm

MATHEMATICS · Subjective · CBSE · Mathematics · Statistics · Statistics

Problem

River-stage observers recorded the water-level deviations (in cm, positive for above and negative for below the reference line) at eight different times of a day: 12.4,  −8.3,  5.0,  −11.6,  9.2,  −2.7,  0.0,  14.812.4,\;-8.3,\;5.0,\;-11.6,\;9.2,\;-2.7,\;0.0,\;14.8 (i) Arrange the readings in ascending order and find the range. (ii) A systematic error later required that each reading be reduced by 1.2 cm1.2\,\text{cm}. Without recalculating every individual value, determine the adjusted range. (iii) It was later discovered that the reading −11.6 cm-11.6\,\text{cm} had been mis-copied and should actually be −6.6 cm-6.6\,\text{cm}. Keeping the other corrected data the same as in part (ii), compute the final range.

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