statistics chebyshevs theorem

The critical values of t distribution are calculated according to the probabilities of two alpha values and the degrees of freedom. The Alpha (a) values 0.05 one tailed and 0.1 two tailed are the two columns to be compared with the degrees of freedom in the row of the table.

One Tail 0.05 0.025 0.01 0.005 0.0025 0.001 0.0005
Two Tails 0.1 0.05 0.02 0.01 0.005 0.002 0.001
df
1 6.3138 12.7065 31.8193 63.6551 127.3447 318.4930 636.0450
2 2.9200 4.3026 6.9646 9.9247 14.0887 22.3276 31.5989
3 2.3534 3.1824 4.5407 5.8408 7.4534 10.2145 12.9242
4 2.1319 2.7764 3.7470 4.6041 5.5976 7.1732 8.6103
5 2.0150 2.5706 3.3650 4.0322 4.7734 5.8934 6.8688
6 1.9432 2.4469 3.1426 3.7074 4.3168 5.2076 5.9589
7 1.8946 2.3646 2.9980 3.4995 4.0294 4.7852 5.4079
8 1.8595 2.3060 2.8965 3.3554 3.8325 4.5008 5.0414
9 1.8331 2.2621 2.8214 3.2498 3.6896 4.2969 4.7809
10 1.8124 2.2282 2.7638 3.1693 3.5814 4.1437 4.5869
11 1.7959 2.2010 2.7181 3.1058 3.4966 4.0247 4.4369
12 1.7823 2.1788 2.6810 3.0545 3.4284 3.9296 4.3178
13 1.7709 2.1604 2.6503 3.0123 3.3725 3.8520 4.2208
14 1.7613 2.1448 2.6245 2.9768 3.3257 3.7874 4.1404
15 1.7530 2.1314 2.6025 2.9467 3.2860 3.7328 4.0728
16 1.7459 2.1199 2.5835 2.9208 3.2520 3.6861 4.0150
17 1.7396 2.1098 2.5669 2.8983 3.2224 3.6458 3.9651
18 1.7341 2.1009 2.5524 2.8784 3.1966 3.6105 3.9216
19 1.7291 2.0930 2.5395 2.8609 3.1737 3.5794 3.8834
20 1.7247 2.0860 2.5280 2.8454 3.1534 3.5518 3.8495
21 1.7207 2.0796 2.5176 2.8314 3.1352 3.5272 3.8193
22 1.7172 2.0739 2.5083 2.8188 3.1188 3.5050 3.7921
23 1.7139 2.0686 2.4998 2.8073 3.1040 3.4850 3.7676
24 1.7109 2.0639 2.4922 2.7970 3.0905 3.4668 3.7454
25 1.7081 2.0596 2.4851 2.7874 3.0782 3.4502 3.7251
26 1.7056 2.0555 2.4786 2.7787 3.0669 3.4350 3.7067
27 1.7033 2.0518 2.4727 2.7707 3.0565 3.4211 3.6896
28 1.7011 2.0484 2.4671 2.7633 3.0469 3.4082 3.6739
29 1.6991 2.0452 2.4620 2.7564 3.0380 3.3962 3.6594
30 1.6973 2.0423 2.4572 2.7500 3.0298 3.3852 3.6459
31 1.6955 2.0395 2.4528 2.7440 3.0221 3.3749 3.6334
32 1.6939 2.0369 2.4487 2.7385 3.0150 3.3653 3.6218
33 1.6924 2.0345 2.4448 2.7333 3.0082 3.3563 3.6109
34 1.6909 2.0322 2.4411 2.7284 3.0019 3.3479 3.6008
35 1.6896 2.0301 2.4377 2.7238 2.9961 3.3400 3.5912
36 1.6883 2.0281 2.4345 2.7195 2.9905 3.3326 3.5822
37 1.6871 2.0262 2.4315 2.7154 2.9853 3.3256 3.5737
38 1.6859 2.0244 2.4286 2.7115 2.9803 3.3190 3.5657
39 1.6849 2.0227 2.4258 2.7079 2.9756 3.3128 3.5581
40 1.6839 2.0211 2.4233 2.7045 2.9712 3.3069 3.5510
41 1.6829 2.0196 2.4208 2.7012 2.9670 3.3013 3.5442
42 1.6820 2.0181 2.4185 2.6981 2.9630 3.2959 3.5378
43 1.6811 2.0167 2.4162 2.6951 2.9591 3.2909 3.5316
44 1.6802 2.0154 2.4142 2.6923 2.9555 3.2861 3.5258
45 1.6794 2.0141 2.4121 2.6896 2.9521 3.2815 3.5202
46 1.6787 2.0129 2.4102 2.6870 2.9488 3.2771 3.5149
47 1.6779 2.0117 2.4083 2.6846 2.9456 3.2729 3.5099
48 1.6772 2.0106 2.4066 2.6822 2.9426 3.2689 3.5051
49 1.6766 2.0096 2.4049 2.6800 2.9397 3.2651 3.5004
50 1.6759 2.0086 2.4033 2.6778 2.9370 3.2614 3.4960
51 1.6753 2.0076 2.4017 2.6757 2.9343 3.2579 3.4917
52 1.6747 2.0066 2.4002 2.6737 2.9318 3.2545 3.4877
53 1.6741 2.0057 2.3988 2.6718 2.9293 3.2513 3.4838
54 1.6736 2.0049 2.3974 2.6700 2.9270 3.2482 3.4800
55 1.6730 2.0041 2.3961 2.6682 2.9247 3.2451 3.4764
56 1.6725 2.0032 2.3948 2.6665 2.9225 3.2423 3.4730
57 1.6720 2.0025 2.3936 2.6649 2.9204 3.2394 3.4696
58 1.6715 2.0017 2.3924 2.6633 2.9184 3.2368 3.4663
59 1.6711 2.0010 2.3912 2.6618 2.9164 3.2342 3.4632
60 1.6706 2.0003 2.3901 2.6603 2.9146 3.2317 3.4602
61 1.6702 1.9996 2.3890 2.6589 2.9127 3.2293 3.4573
62 1.6698 1.9990 2.3880 2.6575 2.9110 3.2269 3.4545
63 1.6694 1.9983 2.3870 2.6561 2.9092 3.2247 3.4518
64 1.6690 1.9977 2.3860 2.6549 2.9076 3.2225 3.4491
65 1.6686 1.9971 2.3851 2.6536 2.9060 3.2204 3.4466
66 1.6683 1.9966 2.3842 2.6524 2.9045 3.2184 3.4441
67 1.6679 1.9960 2.3833 2.6512 2.9030 3.2164 3.4417
68 1.6676 1.9955 2.3824 2.6501 2.9015 3.2144 3.4395
69 1.6673 1.9950 2.3816 2.6490 2.9001 3.2126 3.4372
70 1.6669 1.9944 2.3808 2.6479 2.8987 3.2108 3.4350
71 1.6666 1.9939 2.3800 2.6468 2.8974 3.2090 3.4329
72 1.6663 1.9935 2.3793 2.6459 2.8961 3.2073 3.4308
73 1.6660 1.9930 2.3785 2.6449 2.8948 3.2056 3.4288
74 1.6657 1.9925 2.3778 2.6439 2.8936 3.2040 3.4269
75 1.6654 1.9921 2.3771 2.6430 2.8925 3.2025 3.4250
76 1.6652 1.9917 2.3764 2.6421 2.8913 3.2010 3.4232
77 1.6649 1.9913 2.3758 2.6412 2.8902 3.1995 3.4214
78 1.6646 1.9909 2.3751 2.6404 2.8891 3.1980 3.4197
79 1.6644 1.9904 2.3745 2.6395 2.8880 3.1966 3.4180
80 1.6641 1.9901 2.3739 2.6387 2.8870 3.1953 3.4164
81 1.6639 1.9897 2.3733 2.6379 2.8859 3.1939 3.4147
82 1.6636 1.9893 2.3727 2.6371 2.8850 3.1926 3.4132
83 1.6634 1.9889 2.3721 2.6364 2.8840 3.1913 3.4117
84 1.6632 1.9886 2.3716 2.6356 2.8831 3.1901 3.4101
85 1.6630 1.9883 2.3710 2.6349 2.8821 3.1889 3.4087
86 1.6628 1.9879 2.3705 2.6342 2.8813 3.1877 3.4073
87 1.6626 1.9876 2.3700 2.6335 2.8804 3.1866 3.4059
88 1.6623 1.9873 2.3695 2.6328 2.8795 3.1854 3.4046
89 1.6622 1.9870 2.3690 2.6322 2.8787 3.1844 3.4032
90 1.6620 1.9867 2.3685 2.6316 2.8779 3.1833 3.4020
91 1.6618 1.9864 2.3680 2.6309 2.8771 3.1822 3.4006
92 1.6616 1.9861 2.3676 2.6303 2.8763 3.1812 3.3995
93 1.6614 1.9858 2.3671 2.6297 2.8755 3.1802 3.3982
94 1.6612 1.9855 2.3667 2.6292 2.8748 3.1792 3.3970
95 1.6610 1.9852 2.3662 2.6286 2.8741 3.1782 3.3959
96 1.6609 1.9850 2.3658 2.6280 2.8734 3.1773 3.3947
97 1.6607 1.9847 2.3654 2.6275 2.8727 3.1764 3.3936
98 1.6606 1.9845 2.3650 2.6269 2.8720 3.1755 3.3926
99 1.6604 1.9842 2.3646 2.6264 2.8713 3.1746 3.3915
100 1.6602 1.9840 2.3642 2.6259 2.8706 3.1738 3.3905
101 1.6601 1.9837 2.3638 2.6254 2.8700 3.1729 3.3894
102 1.6599 1.9835 2.3635 2.6249 2.8694 3.1720 3.3885
103 1.6598 1.9833 2.3631 2.6244 2.8687 3.1712 3.3875
104 1.6596 1.9830 2.3627 2.6240 2.8682 3.1704 3.3866
105 1.6595 1.9828 2.3624 2.6235 2.8675 3.1697 3.3856
106 1.6593 1.9826 2.3620 2.6230 2.8670 3.1689 3.3847
107 1.6592 1.9824 2.3617 2.6225 2.8664 3.1681 3.3838
108 1.6591 1.9822 2.3614 2.6221 2.8658 3.1674 3.3829
109 1.6589 1.9820 2.3611 2.6217 2.8653 3.1667 3.3820
110 1.6588 1.9818 2.3607 2.6212 2.8647 3.1660 3.3812
111 1.6587 1.9816 2.3604 2.6208 2.8642 3.1653 3.3803
112 1.6586 1.9814 2.3601 2.6204 2.8637 3.1646 3.3795
113 1.6585 1.9812 2.3598 2.6200 2.8632 3.1640 3.3787
114 1.6583 1.9810 2.3595 2.6196 2.8627 3.1633 3.3779
115 1.6582 1.9808 2.3592 2.6192 2.8622 3.1626 3.3771
116 1.6581 1.9806 2.3589 2.6189 2.8617 3.1620 3.3764
117 1.6580 1.9805 2.3586 2.6185 2.8612 3.1614 3.3756
118 1.6579 1.9803 2.3583 2.6181 2.8608 3.1607 3.3749
119 1.6578 1.9801 2.3581 2.6178 2.8603 3.1601 3.3741
120 1.6577 1.9799 2.3578 2.6174 2.8599 3.1595 3.3735
121 1.6575 1.9798 2.3576 2.6171 2.8594 3.1589 3.3727
122 1.6574 1.9796 2.3573 2.6168 2.8590 3.1584 3.3721
123 1.6573 1.9794 2.3571 2.6164 2.8585 3.1578 3.3714
124 1.6572 1.9793 2.3568 2.6161 2.8582 3.1573 3.3707
125 1.6571 1.9791 2.3565 2.6158 2.8577 3.1567 3.3700
126 1.6570 1.9790 2.3563 2.6154 2.8573 3.1562 3.3694
127 1.6570 1.9788 2.3561 2.6151 2.8569 3.1556 3.3688
128 1.6568 1.9787 2.3559 2.6148 2.8565 3.1551 3.3682
129 1.6568 1.9785 2.3556 2.6145 2.8561 3.1546 3.3676
130 1.6567 1.9784 2.3554 2.6142 2.8557 3.1541 3.3669
131 1.6566 1.9782 2.3552 2.6139 2.8554 3.1536 3.3663
132 1.6565 1.9781 2.3549 2.6136 2.8550 3.1531 3.3658
133 1.6564 1.9779 2.3547 2.6133 2.8546 3.1526 3.3652
134 1.6563 1.9778 2.3545 2.6130 2.8542 3.1522 3.3646
135 1.6562 1.9777 2.3543 2.6127 2.8539 3.1517 3.3641
136 1.6561 1.9776 2.3541 2.6125 2.8536 3.1512 3.3635
137 1.6561 1.9774 2.3539 2.6122 2.8532 3.1508 3.3630
138 1.6560 1.9773 2.3537 2.6119 2.8529 3.1503 3.3624
139 1.6559 1.9772 2.3535 2.6117 2.8525 3.1499 3.3619
140 1.6558 1.9771 2.3533 2.6114 2.8522 3.1495 3.3614
141 1.6557 1.9769 2.3531 2.6112 2.8519 3.1491 3.3609
142 1.6557 1.9768 2.3529 2.6109 2.8516 3.1486 3.3604
143 1.6556 1.9767 2.3527 2.6106 2.8512 3.1482 3.3599
144 1.6555 1.9766 2.3525 2.6104 2.8510 3.1478 3.3594
145 1.6554 1.9765 2.3523 2.6102 2.8506 3.1474 3.3589
146 1.6554 1.9764 2.3522 2.6099 2.8503 3.1470 3.3584
147 1.6553 1.9762 2.3520 2.6097 2.8500 3.1466 3.3579
148 1.6552 1.9761 2.3518 2.6094 2.8497 3.1462 3.3575
149 1.6551 1.9760 2.3516 2.6092 2.8494 3.1458 3.3570
150 1.6551 1.9759 2.3515 2.6090 2.8491 3.1455 3.3565
151 1.6550 1.9758 2.3513 2.6088 2.8489 3.1451 3.3561
152 1.6549 1.9757 2.3511 2.6085 2.8486 3.1447 3.3557
153 1.6549 1.9756 2.3510 2.6083 2.8483 3.1443 3.3552
154 1.6548 1.9755 2.3508 2.6081 2.8481 3.1440 3.3548
155 1.6547 1.9754 2.3507 2.6079 2.8478 3.1436 3.3544
156 1.6547 1.9753 2.3505 2.6077 2.8475 3.1433 3.3540
157 1.6546 1.9752 2.3503 2.6075 2.8472 3.1430 3.3536
158 1.6546 1.9751 2.3502 2.6073 2.8470 3.1426 3.3531
159 1.6545 1.9750 2.3500 2.6071 2.8467 3.1423 3.3528
160 1.6544 1.9749 2.3499 2.6069 2.8465 3.1419 3.3523
161 1.6544 1.9748 2.3497 2.6067 2.8463 3.1417 3.3520
162 1.6543 1.9747 2.3496 2.6065 2.8460 3.1413 3.3516
163 1.6543 1.9746 2.3495 2.6063 2.8458 3.1410 3.3512
164 1.6542 1.9745 2.3493 2.6062 2.8455 3.1407 3.3508
165 1.6542 1.9744 2.3492 2.6060 2.8452 3.1403 3.3505
166 1.6541 1.9744 2.3490 2.6058 2.8450 3.1400 3.3501
167 1.6540 1.9743 2.3489 2.6056 2.8448 3.1398 3.3497
168 1.6540 1.9742 2.3487 2.6054 2.8446 3.1394 3.3494
169 1.6539 1.9741 2.3486 2.6052 2.8443 3.1392 3.3490
170 1.6539 1.9740 2.3485 2.6051 2.8441 3.1388 3.3487
171 1.6538 1.9739 2.3484 2.6049 2.8439 3.1386 3.3483
172 1.6537 1.9739 2.3482 2.6047 2.8437 3.1383 3.3480
173 1.6537 1.9738 2.3481 2.6046 2.8435 3.1380 3.3477
174 1.6537 1.9737 2.3480 2.6044 2.8433 3.1377 3.3473
175 1.6536 1.9736 2.3478 2.6042 2.8430 3.1375 3.3470
176 1.6536 1.9735 2.3477 2.6041 2.8429 3.1372 3.3466
177 1.6535 1.9735 2.3476 2.6039 2.8427 3.1369 3.3464
178 1.6535 1.9734 2.3475 2.6037 2.8424 3.1366 3.3460
179 1.6534 1.9733 2.3474 2.6036 2.8423 3.1364 3.3457
180 1.6534 1.9732 2.3472 2.6034 2.8420 3.1361 3.3454
181 1.6533 1.9731 2.3471 2.6033 2.8419 3.1358 3.3451
182 1.6533 1.9731 2.3470 2.6031 2.8416 3.1356 3.3448
183 1.6532 1.9730 2.3469 2.6030 2.8415 3.1354 3.3445
184 1.6532 1.9729 2.3468 2.6028 2.8413 3.1351 3.3442
185 1.6531 1.9729 2.3467 2.6027 2.8411 3.1349 3.3439
186 1.6531 1.9728 2.3466 2.6025 2.8409 3.1346 3.3436
187 1.6531 1.9727 2.3465 2.6024 2.8407 3.1344 3.3433
188 1.6530 1.9727 2.3463 2.6022 2.8406 3.1341 3.3430
189 1.6529 1.9726 2.3463 2.6021 2.8403 3.1339 3.3428
190 1.6529 1.9725 2.3461 2.6019 2.8402 3.1337 3.3425
191 1.6529 1.9725 2.3460 2.6018 2.8400 3.1334 3.3422
192 1.6528 1.9724 2.3459 2.6017 2.8398 3.1332 3.3419
193 1.6528 1.9723 2.3458 2.6015 2.8397 3.1330 3.3417
194 1.6528 1.9723 2.3457 2.6014 2.8395 3.1328 3.3414
195 1.6527 1.9722 2.3456 2.6013 2.8393 3.1326 3.3411
196 1.6527 1.9721 2.3455 2.6012 2.8392 3.1323 3.3409
197 1.6526 1.9721 2.3454 2.6010 2.8390 3.1321 3.3406
198 1.6526 1.9720 2.3453 2.6009 2.8388 3.1319 3.3403
199 1.6525 1.9720 2.3452 2.6008 2.8387 3.1317 3.3401
200 1.6525 1.9719 2.3451 2.6007 2.8385 3.1315 3.3398

2.statistics analysis of variance

3.statistics arithmetic mean

4.statistics arithmetic median

5.statistics arithmetic mode

6.statistics arithmetic range

7.statistics bar graph

8.statistics best point estimation

9.statistics beta distribution

10.statistics binomial distribution

11.statistics blackscholes model

12.statistics boxplots

13.statistics central limit theorem

14.statistics chebyshevs theorem

15.statistics chisquared distribution

16.statistics chi squared table

17.statistics circular permutation

18.statistics cluster sampling

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20.statistics combination

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22.statistics comparing plots

23.statistics continuous uniform distribution

24.statistics cumulative frequency

25.statistics coefficient of variation

26.statistics correlation coefficient

27.statistics cumulative plots

28.statistics cumulative poisson distribution

29.statistics data collection

30.statistics data collection questionaire designing

31.statistics data collection observation

32.statistics data collection case study method

33.statistics data patterns

34.statistics deciles statistics

35.statistics dot plot

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37.statistics f distribution

38.statistics f test table

39.statistics factorial

40.statistics frequency distribution

41.statistics gamma distribution

42.statistics geometric mean

43.statistics geometric probability distribution

44.statistics goodness of fit

45.statistics grand mean

46.statistics gumbel distribution

47.statistics harmonic mean

48.statistics harmonic number

49.statistics harmonic resonance frequency

50.statistics histograms

51.statistics hypergeometric distribution

52.statistics hypothesis testing

53.statistics interval estimation

54.statistics inverse gamma distribution

55.statistics kolmogorov smirnov test

56.statistics kurtosis

57.statistics laplace distribution

58.statistics linear regression

59.statistics log gamma distribution

60.statistics logistic regression

61.statistics mcnemar test

62.statistics mean deviation

63.statistics means difference

64.statistics multinomial distribution

65.statistics negative binomial distribution

66.statistics normal distribution

67.statistics odd and even permutation

68.statistics one proportion z test

69.statistics outlier function

70.statistics permutation

71.statistics permutation with replacement

72.statistics pie chart

73.statistics poisson distribution

74.statistics pooled variance r

75.statistics power calculator

76.statistics probability

78.statistics probability multiplicative theorem

79.statistics probability bayes theorem

80.statistics probability density function

81.statistics process capability cp amp process performance pp

82.statistics process sigma

84.statistics qualitative data vs quantitative data

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86.statistics range rule of thumb

87.statistics rayleigh distribution

88.statistics regression intercept confidence interval

89.statistics relative standard deviation

90.statistics reliability coefficient

91.statistics required sample size

92.statistics residual analysis

93.statistics residual sum of squares

94.statistics root mean square

95.statistics sample planning

96.statistics sampling methods

97.statistics scatterplots

98.statistics shannon wiener diversity index

99.statistics signal to noise ratio

100.statistics simple random sampling

101.statistics skewness

102.statistics standard deviation

103.statistics standard error se

104.statistics standard normal table

105.statistics statistical significance

106.statistics formulas

107.statistics notations

108.statistics stem and leaf plot

109.statistics stratified sampling

110.statistics student t test

111.statistics sum of square

112.statistics tdistribution table

113.statistics ti 83 exponential regression

114.statistics transformations

115.statistics trimmed mean

116.statistics type i amp ii errors

117.statistics variance

118.statistics venn diagram

119.statistics weak law of large numbers

120.statistics z table

121.discuss statistics