Measures of the Spread of the Data · Exercise 20

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) What percent of the students owned at least five pairs?
(i) Find the 40^th percentile.
(j) Find the 90^th percentile.
(k) Construct a line graph of the data
(l) Construct a stemplot of the data

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

OpenStax, Introductory Business Statistics 2e · §2.7 Measures of the Spread of the Data · Exercise 20