Answer:
164.67 cm
Step-by-step explanation:
The arithmetic mean of height of 5 pupils is 164cm . Let the sum of heights of 5 pupils be x . Then , according to the question ,
[tex]\sf\longrightarrow \dfrac{x}{5}= 164cm [/tex]
On solving ,
[tex]\sf\longrightarrow x = 5*164cm =\bf{820cm}[/tex]
When a student of height 168cm is added ,
[tex]\sf\longrightarrow Mean = \dfrac{820cm+168cm}{6}\\[/tex]
[tex]\sf\longrightarrow Mean = \dfrac{988}{6}\\ [/tex]
[tex]\sf\longrightarrow \boxed{\pink{\sf Mean = 164.66 \approx 164.67 cm }}[/tex]
