. The heights (in nearest cm) of 63 students of a certain school are given in the frequency distribution table :
Height (in cm)
150 151 152 153 154 155 156
Number of students
9 12 10 8 11 7 6
Find : (i) Median (ii) Lower quartile (Qı) (iii) Upper quartile (Q3)
(iv) Interquartile range from the above data.
Answers
Given : The heights (in nearest cm) of 63 students of a certain school are given in the frequency distribution table :
Height (in cm)
150 151 152 153 154 155 156
Number of students
9 12 10 8 11 7 6
To find : (i) Median (ii) Lower quartile (Qı) (iii) Upper quartile (Q3)
(iv) Interquartile range from the above data.
Solution:
f cf
150 9 9
151 12 21
152 10 31
153 8 39
154 11 50
155 7 57
156 6 63
Total Students = 63
Median student = 32
32 - 39 Students are of height 153 cm
153 cm is Median
Lower Quartile
31 Students so
16th student will be Lower Quartile Q₁
10 - 21 ( 151 cm)
151 cm is Lower quartile Q₁
33 to 63 students
48th Students will be Upper Quartile Q₃
154 cm is Upper Quartile Q₃
IQR =Q₃ - Q₃ = 154 - 151 = 3 cm
i) Median - 153 cm
(ii) Lower quartile (Qı) - 151 cm
(iii) Upper quartile (Q3) - 154 cm
(iv) Interquartile range 3 cm
Learn More:
The grades for a statistics exam are as follows: 3, 5, 5, 6, 7.5, 6, 5, 1 ...
https://brainly.in/question/17463737
Which statements are true about the interquartile range? Select all ...
https://brainly.in/question/16455554
Given :
The heights (in nearest cm) of 63 students of a certain school are given in the frequency distribution table :
Height (in cm)
150 151 152 153 154 155 156
Number of students
9 12 10 8 11 7 6
To find : (i) Median (ii) Lower quartile (Qı) (iii) Upper quartile (Q3)
(iv) Interquartile range from the above data.
Solution:
f cf
150 9 9
151 12 21
152 10 31
153 8 39
154 11 50
155 7 57
156 6 63
Total Students = 63
Median student = 32
32 - 39 Students are of height 153 cm
153 cm is Median
Lower Quartile
31 Students so
16th student will be Lower Quartile Q₁
10 - 21 ( 151 cm)
151 cm is Lower quartile Q₁
33 to 63 students
48th Students will be Upper Quartile Q₃
154 cm is Upper Quartile Q₃
IQR =Q₃ - Q₃ = 154 - 151 = 3 cm
i) Median - 153 cm
(ii) Lower quartile (Qı) - 151 cm
(iii) Upper quartile (Q3) - 154 cm
(iv) Interquartile range 3 cm