apaderewska06
contestada

Daisy measured the heights of 20 plants.
The table gives some information about the heights (h in cm) of the plants.
Height of plants (h)
Frequency
0 <h < 10
1
10 < h < 20
4
20 <h < 30
7
30 <h <40
2.
40 <h <50
3
50 <h < 60
3
By using the midpoints of each group, work out an estimate
for the mean height of a plant.​

Respuesta :

mhanifa

Answer:

  • 30.5 cm

Step-by-step explanation:

Refer to attached

  • Height of plants (h) >> Frequency >> Midpoint >> Frequency x midpoint
  • 0 <h < 10 >>  1  >> 5 >> 5
  • 10 <h < 20 >> 4 >> 15 >>  60
  • 20 <h < 30 >> 7 >> 25 >> 175
  • 30 <h < 40 >> 2 >> 35 >> 70
  • 40 <h < 50 >> 3 >> 45 >> 135
  • 50 <h < 60 >> 3 >> 55 >> 165

Sum of frequencies = 20

Sum of frequency x midpoint product = 610

Mean height

  • 610/20 = 30.5 cm
Ver imagen mhanifa

Based on the given data set, the mean height of a plant is 30.5 centimeters.

 

Given information:

The table shows the height of plant in centimeters and the number of plant that fall under each range.

The midpoints of ranges of height will be,

5, 15, 25, 35, 45, and 55.

The respective frequency of plants is,

1, 4, ,7, 2, 3, and 3.

Now, the mean height of the plants will be calculated as,

[tex]\bar x=\dfrac{5\times1+15\times4+25\times7+35\times2+45\times3+55\times3}{1+4+7+2+3+3}\\\bar x=\dfrac{610}{20}\\\bar x=30.5[/tex]

Thus, we conclude that  the mean height of the plants is 30.5.

 

for more details, refer to the link:

https://brainly.com/question/25744307

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas