Using the Empirical Rule, estimate the number of trees in a sample of $75$ whose heights are between $18$ feet and $26$ feet. Assume the sample mean height is $22$ feet and the standard deviation is $2$ feet.

A dataset of response times shows a long right tail and median much smaller than mean. A student suggests using the empirical rule to estimate percentages within 1, 2, and 3 standard deviations. Is the empirical rule appropriate here, and why?

If heights in a population are approximately normal with mean 170 cm and standard deviation 8 cm, what is the approximate z-score for an individual 186 cm tall and is this individual in the top ~2.5% tail according to the empirical rule?

Which of the following best describes the three quartiles of an ordered data set?

Consider the following set of test scores: $68$, $72$, $65$, $70$, $69$, $74$, $70$, $71$, $67$, $73$, $80$, $72$, $70$, $75$, $77$. Find the first quartile $Q_1$, the median $Q_2$, and the third quartile $Q_3$.

A company tracks the number of daily page views (in thousands) for a product over $12$ days and flags unusual spikes using the upper fence.

Data: $60,62,65,68,70,72,73,75,76,80,82,140$

What is the upper fence (cutoff) above which a day should be flagged?

A boxplot shows the median exactly in the center of the box, and both whiskers are approximately the same length. The distribution is most likely ______________________.

Given the ordered dataset: 2, 3, 5, 7, 8, 10, 12, 14, 20, compute the five-number summary (min, Q1, median, Q3, max).