The **mean height **of plants is 44.07cm.

Given that a raj** measures the height** of 70 plants which is **shown **in the **table **in the image attached below.

The** mean** is defined as the **mean value** equal to the ratio of the total number of a given set of values to the** total number of values **contained in that set.

Firstly, we will find the **midpoint **of the height by using the **formula **

(upper limit +lower limit)/2

When h is 10<h<20 then the midpoint is

x₁=(10+20)/2

x₁=15

When h is 20<h<0 then the midpoint is

x₂=(20+40)/2

x₂=30

When h is 40<h<50 then the midpoint is

x₃(40+50)/2

x₃=45

When h is 50<h<60 then the midpoint is

x₄=(50+60)/2

x₄=55

When h is 60<h<90 then the midpoint is

x₅=(60+90)/2

x₅=75

Now, we will find the **mean height** by using the formula

x=(f₁x₁+f₂x₂+f₃x₃+f₄x₄+f₅x₅)/(Σfi)

Here, f₁=7,f₂=15,f₃=27,f₄=13,f₅=8

and Σfi=7+15+27+12+8=70

Substitute these values in the **formula**, we get

x=(7×15+15×30+27×45+12×55+8×75)/70

x=(105+450+1215+715+600)/70

x=(3085)/70

x=44.07

Hence, the **estimate** of the **mean height** of the plants when raj **measures **the **height **of 70 plants is 44.07cm.

Learn more about **mean **from here brainly.com/question/3491195

#SPJ4