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CBSE Class 9 Answered

Observations of a raw data are 5,28,15,10,24. Add four more numbers so that mean and median of the data remain the same, but mode increases by 1.
Asked by 16presa1186 | 09 Jan, 2023, 07:55: PM
Expert Answer
The question must be:
Observations of a raw data are 5, 28, 15, 10, 15, 8, 24. Add four more numbers so that mean and median of the data remain the same, but mode increases by 1.
Solution:
Mean equals fraction numerator 5 plus 28 plus 15 plus 10 plus 15 plus 8 plus 24 over denominator 7 end fraction equals 15 Arranging space the space observations space in space ascending space order 5 comma space 8 comma space 10 comma space 15 comma space 15 comma space 24 comma space 28 Median space equals space 15 Mode space equals space 15 Mode space has space to space increase space by space 1 space when space four space observations space are space added New space mode space equals space 16 straight i. straight e. space 16 space must space appear space thrice New space mean space must space be space same space the space original space mean. The space observations space 5 comma space 8 comma space 10 comma space 15 comma space 15 comma space 24 comma space 28 comma space 16 comma space 16 comma space 16 comma space 12 space gives space the space same space mean space 15. Thus comma space the space observations space 16 comma space 16 comma space 16 comma space 12 space must space be space added.
Answered by Renu Varma | 11 Jan, 2023, 09:08: AM

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