Question

The weight of 11 students (in kgs) in a class are as follows :25,27,29,32,30,28,26,31,35,41,34. find its median and mode​

Answer 1

${\large{\pmb{\sf{\underline{Given \: that...}}}}}$

★ Total students = 11 given.

★ The weight of 11 students (in kgs) in a class are as follows: 25,27,29,32,30,28,26,31,35,41,34.

${\large{\pmb{\sf{\underline{To \; find...}}}}}$

★ The median.

★ The mode.

${\large{\pmb{\sf{\underline{Solution...}}}}}$

★ The median = 30

★ The mode = None

${\large{\pmb{\sf{\underline{Some \: Required \: Information...}}}}}$

To find the mean of any term we have to add all the given digits firstly then when the sum came then we have to divide it by the total number of already given terms. And then at last we get our final result as mean. Formula to find mean is given below.

${\small{\underline{\boxed{\sf{\rightarrow \dfrac{Sum \: of \: terms \: or \: observations}{Total \: number \: of \: terms \: or \: observations}}}}}}$

To find median firstly we have to make the terms in ascending or descending order as we want. Then we have to check the middle term there. Then we get our answer means middle terms in that sequence is the median but if there is no middle term coming means for example there are total 6 terms then it obvious that in middle no term will come because it be even then we have to add two middle terms then we have to divide it by two. Ascending order? Small number to big number. And we get our final result! Let's solve this.

To find mode we have to check that which number came more time. And according to the question there are no mode because all numbers are just coming for a time.

${\large{\pmb{\sf{\underline{Full \; Solution...}}}}}$

~ Finding the median first.

➟ Total number of observations = 11

➟ Observations are 25,27,29,32,30,28,26,31,35,41,34

➟ Ascending order of observations = 25,26,27,28,29,30,31,32,34,35,41

➟ Middle term is 30

• Henceforth, median of the given observation is 30.

~ Finding mode now.

➟ Total number of observations = 11

➟ Observations are 25,27,29,32,30,28,26,31,35,41,34

• None of the number came more than a time henceforth, the observation have none mode.