Using the data found in Height 11, calculate the five number summary. Round answ
ID: 3324085 • Letter: U
Question
Using the data found in Height 11, calculate the five number summary. Round answers to nearest tenth of a centimeter (i.e. 15.4cm).
Height (cm)
161.1
172.1
159.8
161.3
158.5
159.1
173.7
180.2
164.2
166.7
173.1
151.5
178.3
164.9
169.6
159.4
150.8
186.9
169
147.6
157
174.8
169
172.7
178.3
168.3
156.4
172.4
165.4
178.8
169
174.5
153.5
166.3
181.7
163.6
166.1
155.7
168.6
176.6
177.5
161.6
174.2
153
183.1
169.3
172
175.3
172.5
176.4
Minimum = cm
First Quartile = cm
Median = cm
Third Quartile = cm
Maximum = cm
Height (cm)
161.1
172.1
159.8
161.3
158.5
159.1
173.7
180.2
164.2
166.7
173.1
151.5
178.3
164.9
169.6
159.4
150.8
186.9
169
147.6
157
174.8
169
172.7
178.3
168.3
156.4
172.4
165.4
178.8
169
174.5
153.5
166.3
181.7
163.6
166.1
155.7
168.6
176.6
177.5
161.6
174.2
153
183.1
169.3
172
175.3
172.5
176.4
Explanation / Answer
putting above data in ascending order:
minimum =147.6
first quartile =Q1 =(n+1)/4 th value =(50+1)/4 th value =12.75 th vlaue =159.8+0.75*(161.1-159.8)= 160.775
median =(n+1)/2 th value =(50+1)/2 th value =25.5 th vlaue =(169+169)/2 =169
3rd quartile=Q3 =3(n+1)/4 th value =3*(50+1)/4 th value =38.25 th vlaue =174.5+0.25*(174.8-174.5)=174.575
maximum=186.9
s. No Height (cm) 1 147.6 2 150.8 3 151.5 4 153 5 153.5 6 155.7 7 156.4 8 157 9 158.5 10 159.1 11 159.4 12 159.8 13 161.1 14 161.3 15 161.6 16 163.6 17 164.2 18 164.9 19 165.4 20 166.1 21 166.3 22 166.7 23 168.3 24 168.6 25 169 26 169 27 169 28 169.3 29 169.6 30 172 31 172.1 32 172.4 33 172.5 34 172.7 35 173.1 36 173.7 37 174.2 38 174.5 39 174.8 40 175.3 41 176.4 42 176.6 43 177.5 44 178.3 45 178.3 46 178.8 47 180.2 48 181.7 49 183.1 50 186.9Related Questions
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