Home/Class 10 Math Chapter List/6. Statistics/

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality, Find the mean number of plants per house.Which method did you use for finding the mean and why?

Question

A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality, Find the mean number of plants per house.

Which method did you use for finding the mean and why?

Answer

Let us find the mean of the data by direct method because the values involved in the given data are small.

We have, \(N=\sum\limits _{i=1}^{7}f_{i}\)=20 and \(\sum\limits _{i=1}^{7}f_{i}x_{i}=162\)
Then, mean of the data is
\(\overline {x}=\frac {1}{N}\times \sum\limits _{i=1}^{7}f_{i}x_{i}\)
\(=\frac {1}{20}\times 162=8.1\)
Hence, the required mean of the data is\(8.1\)plants.Here, we have used direct method because numerical values of \(x_{i}\)and\(f_{i}\)are small.
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
Correct50
Incorrect1
Watch More Related Solutions
Consider the following distribution of daily wages of \(50 \)workers of a factory.

Find the mean daily wages of the workers of the factory by using an appropriate method.
The following distribution shows the daily. pocket allowance of children of a locality. The mean pocket allowance is\(₹18.\)
Find the missing frequency\(f.\)\(\left. \begin{array} { c | c | c | c | c | c | c | c } \hline \left. \begin{array} { c } { \text { Daily pocket } } \\ { \text { allowance (in Rs) } } \end{array} \right. & { 11 - 13 } & { 13 - 15 } & { 15 - 17 } & { 17 - 19 } & { 19 - 21 } & { 21 - 23 } & { 23 - 25 } \\ \hline \text { Number of children } & { 7 } & { 6 } & { 9 } & { 13 } & { f } & { 5 } & { 4 } \\ \hline \end{array} \right.\)
Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarized as follows. Find the mean heart beats per minute for these women, choosing a suitable method.
In a retail market, fruit vendors were selling mangoes kept in packing boxes. These boxes contained varying number of mangoes. The following was the distribution of mangoes according to the number of boxes.

Find the mean number of mangoes kept in a packing box. Which method of finding the mean did you choose?
The table below shows the daily expenditure of food of 25 households in a locality.
Find the mean daily expenditure of food by a suitable method.
To find out the concentration of\(SO_{2}\)in the air \((\) in parts per million\(,i.e,ppm)\)the data was collected for \(30\) localities in a certain city and is presented below \(.\)

Find the mean concentration of\(SO_{2}\)in the air\(.\)
A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.
The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.
The following table shows the ages of the patients admitted in a hospital during a year

Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
The following data gives the information on the observed lifetimes (in hours) of\(225\)electrical components.

Determine the modal lifetimes of the components.

Load More