Elementary Statstics

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)