. If the arithmetic mean of x, x+3, x+6, x+9, and x+12 is 10, then find its median
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Answer:
x = 4
THE TERMS ARE 4, 7, 10, 13, 16
THE MEDIAN IS 10
Step-by-step explanation:
Total no. of terms = 5
THE TERMS ARE x, x + 3, x + 6, x + 9, x + 12
Mean = ( SUM OF ALL THE OBSERVATIONS ) / ( TOTAL NO. OF OBSERVATIONS ) = 10
( x + x + 3 + x + 6 + x + 9 + x + 12 ) / 5 = 10
( 5x + 30 ) / 5 = 10
( 5 ( x + 6 )) / 5 = 10
x = 10 - 6
x = 4
THE TERMS ARE 4, 7, 10, 13, 16
n = 5 ( odd )
The Median is 10
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