Math, asked by kalpna76, 4 months ago

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Answered by ravi2303kumar
1

Answer:

≈ 31.67

Step-by-step explanation:

given x = (n-1)²   and   2≤n≤10  (ie., n = 2,3,4 .... 10 )

so,

when n=2, x = (2-1)² = 1² = 1

when n=3, x = (3-1)² = 2² = 4

when n=4, x = (4-1)² = 3² = 9

when n=5, x = (5-1)² = 4² = 16

when n=6, x = (6-1)² = 5² = 25

when n=7, x = (7-1)² = 6² = 36

when n=8, x = (8-1)² = 7² = 49

when n=9, x = (9-1)² = 8² = 64

when n=10, x = (10-1)² = 9² = 81

so, the data is 1,4,9,16,25,36,49,64,81

=> total no.of data = 9  (2 to 10)

so mean = sum of data ÷ total no. of data

               = (1+4+9+16+25+36+49+64+81) / 9

               = (10 + 20 + 25 + 100 + 130 ) / 9

               = 285/9

               = 95/3

               = (93/3) + (2/3)

               = 31 + 0.666..

               = 31.666...

   mean  ≈ 31.67

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