et the sample mean, sample variance, and sample standard deviation:   X   P(x)   x *P(x)     x2   X2P(x) 57 inches 1/22 2.5935 3249 147.8295  59  inches 3/22 8.0476 3481 474.8084 59.50 inches 1/22 2.70725 3540.25 161.0814 60 inches 1/22 4.454 3600 327.24 61  inches 5/22 13.8635 3721 845.7833 61.20  inches 3/22 8.34768 3745.44 510.878 62 inches 1/22 2.821 3844 174.902 63.2 inches 1/22 2.8756 3994.24 181.7379 63.6  inches 1/22 2.8938 4044.96 184.0457 64 inches 1/22 2.912 4096 186.368 64.8 inches 1/22 2.9484 4199.04 191.0563 65  inches 1/22 2.9575 4225 192.2375 69  inches 1/22 3.1395 4761 216.6255      = 61.56313   = 3794.594

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.