IMathAS-libretexts

Reginald sampled the ages from the list of the Kansas’s millionaires and observed the following data:

57	31	63	82	54
86	50	42	59	57
63	21	54	69	77
69	45	39	74	27
55	72	60	45	86
78	59	60	57	72
31	51	28	19	35
57	69	61	96	62

Use a grouping with the first class’ lower limit 5 and the class width of 20 to:

Create the frequency table:

Ages	Freq
$\displaystyle {5}\le{x}<{25}$	2
$\displaystyle {25}\le{x}<{45}$	7
$\displaystyle {45}\le{x}<{65}$	19
$\displaystyle {65}\le{x}<{85}$	9
$\displaystyle {85}\le{x}<{105}$	3

Ages	Freq
$\displaystyle {10}\le{x}<{30}$	4
$\displaystyle {30}\le{x}<{50}$	7
$\displaystyle {50}\le{x}<{70}$	20
$\displaystyle {70}\le{x}<{90}$	8
$\displaystyle {90}\le{x}<{110}$	1

Ages	Freq
$\displaystyle {10}\le{x}<{20}$	1
$\displaystyle {20}\le{x}<{30}$	3
$\displaystyle {30}\le{x}<{40}$	4
$\displaystyle {40}\le{x}<{50}$	3
$\displaystyle {50}\le{x}<{60}$	11
$\displaystyle {60}\le{x}<{70}$	9
$\displaystyle {70}\le{x}<{80}$	5
$\displaystyle {80}\le{x}<{90}$	3
$\displaystyle {90}\le{x}<{100}$	1

Ages	Freq
$\displaystyle {5}\le{x}<{25}$	3
$\displaystyle {25}\le{x}<{45}$	10
$\displaystyle {45}\le{x}<{65}$	15
$\displaystyle {65}\le{x}<{85}$	7
$\displaystyle {85}\le{x}<{105}$	5

Ages	Freq
$\displaystyle {5}\le{x}<{15}$	0
$\displaystyle {15}\le{x}<{25}$	2
$\displaystyle {25}\le{x}<{35}$	4
$\displaystyle {35}\le{x}<{45}$	3
$\displaystyle {45}\le{x}<{55}$	6
$\displaystyle {55}\le{x}<{65}$	13
$\displaystyle {65}\le{x}<{75}$	6
$\displaystyle {75}\le{x}<{85}$	3
$\displaystyle {85}\le{x}<{95}$	2
$\displaystyle {95}\le{x}<{105}$	1

Create the frequency histogram:

Identify the shape of the distribution of the data:

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