Question

l. The fol lowing graph shows the size of a sample of houses on a random street. 10 o s0 100 150 200 250 300 Area fin square meters )Is the graph a bar plot or a histogram? (2 pes) 2) How many houses have an area between 150 aed 250 m (2 pts) the average house size on this street? (Hint: the weighted mean) (4 pts)

Answer 1

A histogram represent the frequency distribution of continuous variables, whereas a bar plot represents discrete variables.

Here it shows frequency

It shows the number of household having area from 0 to 50 meter square...then 50-100.... and so on...

Answer a)

so it is a histogram....

Answer b)

as shown by histogram there are 9 households having house with area between 150 sq. m to 200 sq. m

And 4 households having house with area 200 sq. m to 250 sq. m

so for 150-250 there are total 9+4= 13 households.

answer c )

first find the area of every region then divide it by total frequency.

for intervals take Central values

so (75*4)+(125*7)+(175*9)+(225*4)+(275*1) divided by (4+7+9+4+1)

3925/25

=157

so on an average every person has a house of 157 sq. m

thnks