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- https://stats.libretexts.org/Courses/Prince_George's_Community_College/MAT1140%3A_Introduction_to_Statistics/05%3A_The_Central_Limit_Theorem/5.03%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Introductory_Statistics_(OpenStax)_With_Multimedia_and_Interactivity/07%3A_The_Central_Limit_Theorem/7.03%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Book%3A_Introductory_Statistics_(OpenStax)_With_Multimedia_and_Interactivity_LibreTexts_Calculator/07%3A_The_Central_Limit_Theorem/7.03%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Coalinga_College/Introduction_to_Statistics_(MATH_025_CID%3A_110)/04%3A_Continuous_Distributions/4.07%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Fullerton_College/Math_120%3A__Introductory_Statistics_(Ikeda)/07%3A_The_Central_Limit_Theorem/7.02%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/American_River_College/STAT_300%3A_My_Introductory_Statistics_Textbook_(Mirzaagha)/07%3A_Continuous_Random_Variable_and_Normal_Probability_Distribution/7.04%3A_The_Central_Limit_Theorem/7.4.02%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/STAT_200%3A_Introductory_Statistics_(OpenStax)_GAYDOS/07%3A_The_Central_Limit_Theorem/7.02A%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.
- https://stats.libretexts.org/Courses/Diablo_Valley_College/Math_142%3A_Elementary_Statistics_(Kwai-Ching)/Math_142%3A_Text_(Openstax)/07%3A_The_Central_Limit_Theorem/7.03%3A_The_Central_Limit_Theorem_for_SumsThe central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In othe...The central limit theorem tells us that for a population with any distribution, the distribution of the sums for the sample means approaches a normal distribution as the sample size increases. In other words, if the sample size is large enough, the distribution of the sums can be approximated by a normal distribution even if the original population is not normally distributed.