A survey was conducted by a group of students

Asked by admin @ in Math viewed by 314 People

A survey was conducted by a group of students as a part of their environmental awareness program, in which they collected the following data regarding the number of plants in 200 houses in a locality. Find the mean number of plants per house.

Number of plants: 0-2 2-4 4-6 6-B 8-10 10-12 12-14
Number of houses: 1 2 1 5 6 2 3
Which method did you use for finding the mean, and why?

Answered by admin @


DIRECT METHOD:

In this method find the class marks of class interval. These class marks would serve as the representative of whole class and are represented by xi. For each class interval we have the frequency fi corresponding to the class mark xi.

Class marks = ( lower limit + upper limit)/2

Then find the product of fi, & xi for each class interval. Find Σ fi & Σ fixi.

Use the formula :  

MEAN = Σfixi/ Σfi

[‘Σ’ Sigma means ‘summation’ ]

FREQUENCY DISTRIBUTION TABLE IS IN THE ATTACHMENT  


From the table : Σfixi = 162 ,Σfi = 20

MEAN = Σfixi/ Σfi

Mean = 162/20

Mean = 81/10 = 8.1

Hence, the mean number of plants per house is 8.1 .

Here, we use DIRECT METHOD for finding the mean because this is the easiest method from the other methods(STEP DEVIATION METHOD, ASSUMED MEAN METHOD).

HOPE THIS ANSWER WILL HELP YOU….


Similar Questions

In a survey of 200 students of a school

Asked by admin @ in Math viewed by 291 persons

In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry, 40 study Mathematics and Physics, 30 study …

According to the survey conducted by the travel bureau

Asked by admin @ in English viewed by 303 persons

According to the survey conducted by the Travel Bureau, the total percentage of experienced ecotourists who DID NOT prefer to travel alone wasa) 60%.b) 75%.c) 15%.d) …

In a survey of 400 students in a school

Asked by admin @ in Math viewed by 291 persons

In a survey of 400 students in a school , 100 were listed as taking apple juice , 150 taking orange juice and 75 taking both. how many students are …

In a survey of 600 students in a school

Asked by admin @ in Math viewed by 305 persons

In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Find how …

A group of students is taking a cpr course

Asked by maham237 @ in Mathematics viewed by 502 persons

The total cost for the course is $275. The room in which the course will be held can hold a maximum of 25 people, including the instructor. What is the …

Grade 7 students were surveyed to determine

Asked by maham237 @ in Mathematics viewed by 315 persons

Grade 7 students were surveyed to determine how many hours a day they spent on various activities. The results are shown in the circle graph below. Find the measure of …

In a gallup telephone survey conducted on april 9 10

Asked by maham237 @ in Mathematics viewed by 386 persons

the person being interviewed was asked if they would vote for a law in their state that would increase the gas tax up to 20 cents a gallon, with the …

Which group conducted the first protests against the vietnam war

Asked by maham237 @ in History viewed by 325 persons

draft dodgers military veterans college students black activists

A survey conducted on 20 households in a locality

Asked by admin @ in Math viewed by 334 persons

A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household. Family …

The data obtained by conducting a survey is called

Asked by admin @ in Math viewed by 385 persons

The data obtained by conducting a survey is called: *​

To conduct a survey about the type of phone service

Asked by maham237 @ in Mathematics viewed by 295 persons

most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then one resident of each of …

Each person in a group of students was identified by year

Asked by maham237 @ in Mathematics viewed by 325 persons

A group of college students built a self guided rover

Asked by maham237 @ in Mathematics viewed by 333 persons

They programmed the vehicle to move along the path A–B–C–D–A represented on the coordinate plane. What distance will the rover cover if it completes one circuit?

A submarine sandwich shop surveyed a group of 20

Asked by maham237 @ in Mathematics viewed by 890 persons

A submarine sandwich shop surveyed a group of 20 prospective customers, asking them the maximum amount they would be willing to pay for the shop's new footlong teriyaki chicken sandwich. …

A firm gathers data by conducting surveys

Asked by maham237 @ in Business viewed by 282 persons

A firm gathers ________ data by conducting surveys, interviewing customers, or mailing out questionnaires

Most viewed questions in Math

What is the value of x in the expression

Asked by admin @ in Math viewed by 15171 persons

Shubham is facing south and moves 30 km

Asked by admin @ in Math viewed by 12988 persons

Prachi excellence in mathematics class 7 solutions pdf free download

Asked by admin @ in Math viewed by 12046 persons

Oxford new enjoying mathematics class 7 solutions chapter 1

Asked by admin @ in Math viewed by 11525 persons

Survey of various types of bank accounts icse project

Asked by admin @ in Math viewed by 11509 persons

The town of p is located at point x

Asked by admin @ in Math viewed by 11360 persons

A clock gains 4 minutes after every 4 minutes

Asked by admin @ in Math viewed by 10172 persons

Running a tuck shop or canteen maths project pdf

Asked by admin @ in Math viewed by 9389 persons

Paul is sixteenth from the front of the row

Asked by admin @ in Math viewed by 9354 persons

The average weight of 20 teachers is 80 kg

Asked by admin @ in Math viewed by 7525 persons

The number 567 xy is completely divisible by 30

Asked by admin @ in Math viewed by 7403 persons

In a row of friends tiya occupies fifteenth place

Asked by admin @ in Math viewed by 7209 persons

What would $ mean if fat is coded as

Asked by admin @ in Math viewed by 5278 persons

Consider a 3 digit integer x with distinct digits

Asked by admin @ in Math viewed by 4806 persons

Rahul went to his mother's mother in law

Asked by admin @ in Math viewed by 4181 persons