Question

(2) Data is collected, which represents the HEIGHT (centimeters) of a random sample of 50 PACE U. students:                                   

CLASS          FREQUENCY

150 TO < 156       4

156 TO < 162       7

162 TO < 168     15

168 TO < 174     11

174 TO < 180     10

180 TO < 186      3

                 ∑ f = 50

1. Please summarize this data by constructing a RELATIVE FREQUENCY CUMULATIVE “ LESS THAN “ DISTRIBUTION.
2. WHAT PERCENTAGE of sampled students are 168 cm OR TALLER ?
3. HOW MANY sampled students are SHORTER THAN 174 cm?

Answer 1

Solution

CLASS	FREQUENCY	RELATIVE FREQUENCY	CUMULATIVE FREQUENCY	PERCENTAGE FREQUENCY
150 TO < 156	4	4 / 50 =0.08	4	8%
156 TO < 162	7	7 / 50 =0.14	4+7=11	14%
162 TO < 168	15	15 /50 =0.30	11+15=26	30%
168 TO < 174	11	11 /50 = 0.22	26+11=37	22%
174 TO < 180	10	10/50=0.20	37+10=47	20%
180 TO < 186	3	3 / 50 =0.06	47+3=50	6%
Total	50	1		100%

b ) 30% of sampled students are 168 cm OR TALLER

c ) 74% sampled students are SHORTER THAN 174 cm