Solution Found!
Let X denote the concentration of calcium carbonate
Chapter 6, Problem 7E(choose chapter or problem)
Let \(X\) denote the concentration of calcium carbonate \(\left(\mathrm{CaCO}_{3}\right)\) in milligrams per liter. Following are 20 observations of \(X\):
130.8 129.9 131.5 131.2 129.5
132.7 131.5 127.8 133.7 132.2
134.8 131.7 133.9 129.8 131.4
128.8 132.7 132.8 131.4 131.3
(a) Construct an ordered stem-and-leaf display, using stems of \(127,128, \ldots, 134\).
(b) Find the midrange, range, interquartile range, median, sample mean, and sample variance.
(c) Draw a box-and-whisker diagram.
Equation Transcription:
Text Transcription:
X
(CaCO_3)
127, 128, . . . , 134
Questions & Answers
QUESTION:
Let \(X\) denote the concentration of calcium carbonate \(\left(\mathrm{CaCO}_{3}\right)\) in milligrams per liter. Following are 20 observations of \(X\):
130.8 129.9 131.5 131.2 129.5
132.7 131.5 127.8 133.7 132.2
134.8 131.7 133.9 129.8 131.4
128.8 132.7 132.8 131.4 131.3
(a) Construct an ordered stem-and-leaf display, using stems of \(127,128, \ldots, 134\).
(b) Find the midrange, range, interquartile range, median, sample mean, and sample variance.
(c) Draw a box-and-whisker diagram.
Equation Transcription:
Text Transcription:
X
(CaCO_3)
127, 128, . . . , 134
ANSWER:Step 1 of 4
(a) To construct a stem and leaf diagram using integer stems, imagine each number as its whole part(stem) and its decimal part (leaf). All the numbers are tabulated below in a stem and leaf diagram. Frequency for each stem is the number of leafs for each stem. Depth of each stem can be obtained by adding the frequencies from the low end to the high end until the middle value in the ordered display.