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Table 1 Values of ξ ( n ) in the formula ( 7 ) and the formula ( 12 ) for n ≤ 50

From: Estimating the sample mean and standard deviation from the sample size, median, range and/or interquartile range

n ξ( n) n ξ( n) n ξ( n) n ξ( n) n ξ( n)
1 0 11 3.173 21 3.778 31 4.113 41 4.341
2 1.128 12 3.259 22 3.819 32 4.139 42 4.361
3 1.693 13 3.336 23 3.858 33 4.165 43 4.379
4 2.059 14 3.407 24 3.895 34 4.189 44 4.398
5 2.326 15 3.472 25 3.931 35 4.213 45 4.415
6 2.534 16 3.532 26 3.964 36 4.236 46 4.433
7 2.704 17 3.588 27 3.997 37 4.259 47 4.450
8 2.847 18 3.640 28 4.027 38 4.280 48 4.466
9 2.970 19 3.689 29 4.057 39 4.301 49 4.482
10 3.078 20 3.735 30 4.086 40 4.322 50 4.498