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Every class boundary of a distribution is increased by 8, so 0-10 becomes 8-18, 10-20 becomes 18-28, and so on. The frequencies stay the same. The median:

Class 10Median of Grouped DataStatistics and Probability
  • Ais unchanged
  • Bis multiplied by 8
  • Cincreases by 4
  • Dincreases by 8

Step-by-Step Solution

In Median = only is affected: every lower boundary rises by 8 while and the class size are untouched. So the median rises by exactly 8. It would be multiplied by 8 only if every boundary were multiplied by 8; 4 is half the shift, which no term in the formula produces; and it is unchanged only if the boundaries are unchanged — that is what happens when the FREQUENCIES are scaled instead.
Answer: D) increases by 8

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