## Problem 1:Calculate the measures of central tendency

 Problem 1:Calculate the measures of central tendency

Problem 1:

Calculate the measures of central tendency for the following.

18 25 24 18 24

24 27 28 22 21

23 32 31 24 23

25 20 30 23 29

17 19 17 25 31

 S.no X (ascending order) Log 10x 1. 17 0.058823529 1.230448921 2. 17 0.058823529 1.230448921 3. 18 0.055555555 1.255272505 4. 18 0.055555555 1.255272505 5. 19 0.052631578 1.278753601 6. 20 0.05 1.301029996 7. 21 0.047619047 1.322219295 8. 22 0.045454545 1.342422681 9. 23 0.04347826 1.361727836 10. 23 0.04347826 1.361727836 11. 23 0.04347826 1.361727836 12. 24 0.041666666 1.380211242 13. 24 0.041666666 1.380211242 14. 24 0.041666666 1.380211242 15. 24 0.041666666 1.380211242 16. 25 0.04 1.397940009 17. 25 0.04 1.397940009 18. 25 0.04 1.397940009 19. 27 0.037037037 1.431363764 20. 28 0.035714285 1.447158031 21. 29 0.034482758 1.462397998 22. 30 0.033333333 1.477121255 23. 31 0.032258064 1.491361694 24. 31 0.032258064 1.491361694 25. 32 0.03125 1.505149978 Total 600 0.077898323 34.32163134

Arithmetic mean=

Median =24

Mode value is  17(2 times)

18(2 times)

23(2 times)

24(4 times)

25(3 times)

31(2 times)

Ans:

Arithmetic mean =24

Harmonic mean = 23.19328221

Geometric mean = 23.59745973

Median = 24

Mode = 17(2 times) 24(4 times)

18(2 times) 25(3 times)

23 (2 times) 31(2 times)