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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