Measures of central tendency


Solve the following one exercise using R. Please attach the R commands, output and graphs that you used to answer the question. The R output alone is not an answer to the question. Please write a sentence or two to properly answer the question

The following data gives the weight for 8 corn cobs which were produced
using an organic corn fertilizer:

212, 234, 259, 189, 245, 176, 203, 215

(a) For this sample of n = 8 observations, use R to obtain the mean, the median, the interquartile range and the standard deviation.

(b) Among the four statistics, which are measures of central tendency and which are measures of dispersion.

(c) Are there any outliers in this sample? If so, which values are
outliers?

(d) With R, produce a quantile-quantile plot for these data. Is it reasonable to assume that the weight is normally distributed? Explain.

(e) Give a point estimate for the mean weight of the population and the standard error of the estimate.

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Basic Statistics: Measures of central tendency
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