IMathAS-libretexts

Ervin surveyed 20 students and recorded the exact amounts they spent on books last semester:

120.19	126.28	120.09	151.5	181.12
161.19	162.7	147.27	152.09	84.01
143.25	96.89	189.05	193.27	147.2
203.87	224.52	139.9	132.12	93.44

Use a grouping with the first class’ lower limit 80 and the class width of 25 to:

Create the frequency table:

Transaction values	Freq
$\displaystyle {75}\le{x}<{95}$	2
$\displaystyle {95}\le{x}<{115}$	1
$\displaystyle {115}\le{x}<{135}$	4
$\displaystyle {135}\le{x}<{155}$	6
$\displaystyle {155}\le{x}<{175}$	2
$\displaystyle {175}\le{x}<{195}$	3
$\displaystyle {195}\le{x}<{215}$	1
$\displaystyle {215}\le{x}<{235}$	1

Transaction values	Freq
$\displaystyle {80}\le{x}<{105}$	3
$\displaystyle {105}\le{x}<{130}$	3
$\displaystyle {130}\le{x}<{155}$	7
$\displaystyle {155}\le{x}<{180}$	2
$\displaystyle {180}\le{x}<{205}$	4
$\displaystyle {205}\le{x}<{230}$	1

Transaction values	Freq
$\displaystyle {75}\le{x}<{100}$	3
$\displaystyle {100}\le{x}<{125}$	2
$\displaystyle {125}\le{x}<{150}$	6
$\displaystyle {150}\le{x}<{175}$	4
$\displaystyle {175}\le{x}<{200}$	3
$\displaystyle {200}\le{x}<{225}$	2

Transaction values	Freq
$\displaystyle {80}\le{x}<{100}$	3
$\displaystyle {100}\le{x}<{120}$	0
$\displaystyle {120}\le{x}<{140}$	5
$\displaystyle {140}\le{x}<{160}$	5
$\displaystyle {160}\le{x}<{180}$	2
$\displaystyle {180}\le{x}<{200}$	3
$\displaystyle {200}\le{x}<{220}$	1
$\displaystyle {220}\le{x}<{240}$	1

Transaction values	Freq
$\displaystyle {80}\le{x}<{105}$	1
$\displaystyle {105}\le{x}<{130}$	3
$\displaystyle {130}\le{x}<{155}$	3
$\displaystyle {155}\le{x}<{180}$	7
$\displaystyle {180}\le{x}<{205}$	4
$\displaystyle {205}\le{x}<{230}$	2

Create the frequency histogram:

Identify the shape of the distribution of the data:

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