Measures of the Spread of the Data · Exercise 21

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:

$$\begin{array}{cc}\text{X}& \text{Frequency}\\ \text{1}& \text{2}\\ \text{2}& \text{5}\\ \text{3}& \text{8}\\ \text{4}& \text{12}\\ \text{5}& \text{12}\\ \text{6}& \text{0}\\ \text{7}& \text{1}\end{array}$$

(a) Find the sample mean $\bar{x}$
(b) Find the sample standard deviation, s
(c) Construct a histogram of the data.
(d) Complete the columns of the chart.
(e) Find the first quartile.
(f) Find the median.
(g) Find the third quartile.
(h) Construct a box plot of the data.
(i) What percent of the students owned at least five pairs?
(j) Find the 40^th percentile.
(k) Find the 90^th percentile.
(l) Construct a line graph of the data
(m) Construct a stemplot of the data

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §2.7 Measures of the Spread of the Data · Exercise 21