The mean height of 36 boys in a cricket academy is 160 mathrm~cm, and the mean height of 24 girls in the same academy is 155 mathrm~cm. The combined mean height of 60 students in the cricket academy is (in mathrmcm ).

Question

The mean height of 36 boys in a cricket academy is 160 mathrm~cm, and the mean height of 24 girls in the same academy is 155 mathrm~cm. The combined mean height of 60 students in the cricket academy is (in mathrmcm ). (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Given: n1=36, n2=24 overlinex1=172, overlinex2=160 Combined mean, barx =(n1 overlinex1+n2 overlinex2/n1+n2)=(36 × 160+24 × 155/36+24) =(9480/60)=158

Q. The mean height of $36$ boys in a cricket academy is $160 cm$ , and the mean height of $24$ girls in the same academy is $155 cm$ . The combined mean height of $60$ students in the cricket academy is___ (in $cm$ ).

Given: $n_{1} = 36, n_{2} = 24$
$\overline{x_{1}} = 172, \overline{x_{2}} = 160$
Combined mean,
$\overset{x}{ˉ} = \frac{n _{1} x _{1} + n _{2} x _{2}}{n _{1} + n _{2}} = \frac{36 \times 160 + 24 \times 155}{36 + 24}$
$= \frac{9480}{60} = 158$

Q. The mean height of 36 boys in a cricket academy is 160 cm, and the mean height of 24 girls in the same academy is 155 cm. The combined mean height of 60 students in the cricket academy is___ (in cm ).

Given: n1​=36,n2​=24 x1​​=172,x2​​=160 Combined mean, xˉ=n1​+n2​n1​x1​​+n2​x2​​​=36+2436×160+24×155​ =609480​=158

Q. The mean height of $36$ boys in a cricket academy is $160 cm$ , and the mean height of $24$ girls in the same academy is $155 cm$ . The combined mean height of $60$ students in the cricket academy is___ (in $cm$ ).

Given: $n_{1} = 36, n_{2} = 24$
$\overline{x_{1}} = 172, \overline{x_{2}} = 160$
Combined mean,
$\overset{x}{ˉ} = \frac{n _{1} x _{1} + n _{2} x _{2}}{n _{1} + n _{2}} = \frac{36 \times 160 + 24 \times 155}{36 + 24}$
$= \frac{9480}{60} = 158$