The median of a sample will always equal the
The median in a sample will always be equal to the value that divide the sample in to two equal part and it always lie in the sample and also will be equal to the fiftieth percentile.
For a skewed distribution, is it true that the mean is always larger than the median and that the median is always larger than the mode? Provide justification for your answer.
3) Is it true that the sample mean is always equal to the population mean that we picked the sample from? Explain. 5) Is it true that the confidence interval is narrower for 95% confidence than for 90% confidence? Explain 6) Is it true that the Sample means are less variable than individual observations as n→∞ ? Explain In a certain population of mussels (mytilus edulis) 80% of the individuals are infected with an intestinal parasite. A marine biologist plans...
If there are outliers (extreme values) in a sample, which of the following is ALWAYS true? a. The mean is greater than the median. b. The standard deviation is smaller than expected (smaller than if there were no outliers) DC. The mean will be less than the median im d. The standard deviation will be larger than expected (larger than if there were no outliers)
Explain the following statement: "The median should always be used when a few very large or very small values affect estimates of the mean." Give examples of variables for which the median is typically used (8pts).
1. Select all true statements about sample mean and sample median. A) When the population distribution is skewed, sample mean is biased but sample median is an unbiased estimator of population mean. B) When the population distribution is symmetric, both mean and sample median are unbiased estimators of population mean. C) Sampling distribution of sample mean has a smaller standard error than sample median when population distribution is normal. D) Both mean and median are unbiased estimators of population mean...
2. Are the following statements true or false and explain why? (a) The median must always be a value in your data set. F but why (b) If given PXi and n, we can find the standard deviation of X. F but why (c) The standard deviation of X must always be positive F but why
Question 3 (1 point) Saved The median always tells us where the 50th percentile lies. True False Question 4 (1 point) Saved When the mean is the same as the median, the data has a very large number. True False
The potential energy of a spring is equal to ks. always negative. always positive. positive or negative.
If the population is normally distributed, both the sample mean and the median are unbiased estimators of the population mean O А True o B False O с Not sure Unanswered . 1 attempt left Submit Question 4 Homework. Unanswered A sample statistic such that the mean of all its possible values equals the population parameter the statistic seeks to estimate is an unbiased estimator. А True B False The bias of an estimator Bhat is equal to E(hat) -...
10. Calculating the mean, median, and mode when scores are changedor removed Consider the following sample set of scores. Assume these scores are from a discrete distribution. 1 22 40 45 45 52 60 69 81 94 For the given data, the mean is , the median is ▼ , and the mode is Suppose the score 1 in the data is mistakenly recorded as 21 instead of 1. For the sample with this error, the mean is the median...