Home
Class 10
MATHS
Size of agricultural holding in a surve...

Size of agricultural holding in a survey of 200 families is given in the following table.

Compute median and mode size of the holdings.

Text Solution

Verified by Experts


(i) Here, N=200
Now, `(N)/(2)=(200)/(2)=100`, which lies in the interval 15-20.
Lower limit, l=15, h=5, f=80 and cf=55
`"Median"=l+(((N)/(2)-cf)/(f))xxh=15+((100-55)/(80))xx5`
`=15+((45)/(16))=15+2.81=17.81"hec"`
(ii) In a given table 80 is the highest frequency So, the modal class is 15-20
Here, `l=15,f_(m)=80,f_(1)=30,f_(2)=40 and h=5`
`"Mode"=l+((f_(m)-f_(1))/(2f_(m)-f_(1)-f_(2)))xx5`
`=15+((50)/(160-70))xx5`
`=15+((50)/(90))xx5=15+(25)/(9)`
=15+2.77=17.77 hec
Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise SHORT ANSWERS QUESTIONS|42 Videos

  • REAL NUMBERS

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|5 Videos

  • SURFACE AREAS AND VOLUMES

    NCERT EXEMPLAR ENGLISH|Exercise LONG ANSWER TYPE QUESTIONS|20 Videos

Similar Questions

Explore conceptually related problems

Compute the median from the following table

The ages of 37 students in a class are given in the following table: Find the median

A die is thrown 12 times and the source are recorded in the following table. Find the range, mean and mode of the given scores.

Ages of 20 Students Enrolled in a College Class The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?

Given the following table Compute i) E(4X+5) ii) E(X^(2)) iii) V(X) iv) V(2X+-3)

The following table gives the marks of 5 students in Science and Maths. Find the mean, median, and mode of the marks scored in Science

To know the opinion of the students about Mathematics, a survey of 200 students was conducted. The data is recorded in the following table: Opinion: Like Dislike No. of students 135 65 Find the probability that a student chosen at random (i) like Mathematics (ii) does not like it.

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:Find the mode of this data.

The percentages of various categories of workers in a state are given in the following table. Categories, Cultivators, Agricultural Labourers, Industrial Workers, Commercial Workers, Others % of workers, 40, 25, 12.5, 10, 12.5 Present the information in the form a pie-chart.