The lengths, in cm, of squirrels from two different habitats are recorded in the table below. Habita

Question

The lengths, in cm, of squirrels from two different habitats are recorded in the table below.

Habitat P	$38$	$35$	$41$	$39$	$44$	$42$	$46$	$36$
Habitat P	$38$	$37$	$47$	$41$	$37$	$40$	$36$	$51$
Habitat Q	$45$	$48$	$37$	$42$	$46$	$48$	$45$	$51$
Habitat Q	$39$	$45$	$38$	$48$	$42$	$48$	$49$	$50$

Represent these two sets of data by a back-to-back stem-and-leaf diagram.
Which habitat is more suitable for growth of squirrels? Explain your answer.

Accepted Answer

(i) Back-to-back rows: $9\,8\,8\,7\,7\,6\,6\,5\mid3\mid7\,8\,9$, $7\,6\,4\,2\,1\,1\,0\mid4\mid2\,2\,5\,5\,5\,6\,8\,8\,8\,8\,9$, $1\mid5\mid0\,1$ (ii) Habitat Q, with median $45.5\text{ cm}$ versus $39.5\text{ cm}$ in Habitat P

Habitat P	\(38\)	\(35\)	\(41\)	\(39\)	\(44\)	\(42\)	\(46\)	\(36\)
Habitat P	\(38\)	\(37\)	\(47\)	\(41\)	\(37\)	\(40\)	\(36\)	\(51\)
Habitat Q	\(45\)	\(48\)	\(37\)	\(42\)	\(46\)	\(48\)	\(45\)	\(51\)
Habitat Q	\(39\)	\(45\)	\(38\)	\(48\)	\(42\)	\(48\)	\(49\)	\(50\)

Constructing Back-to-Back Stem-and-Leaf Diagram

Constructing Back-to-Back Stem-and-Leaf Diagram

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