Question

median of the following data: 35, 27, 23, 20, 15, 25, 40, 26. 23, 20.
14. Find the median of the following data: 22, 17, 19, 27, 23, 15.
15. Find the median of eight observations: 31, 48, 37, 34, 45, 36, 41 and 39
16. Find the mode from the following data:​

Answer 1

Step-by-step explanation:

To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

Answer 2

➤ Correct Question :-

Find :-

1. Median of the data :- 35, 27, 23, 20, 15, 25, 40, 26, 23, 20
2. Median of the data :- 22, 17, 19, 27, 23, 15
3. Median of the data :- 31, 48, 37, 34, 45, 36, 41, 39

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★ How to do :-

Here, we are given with some of the observations and we are asked to find the median of each question. We know that how to calculate the median of the given data. The median is also known as the middle value or middle point. So, here also we should find the middle value of the given data. But, before doing that we should arrange the given data in ascending order or descending order. Then, we should find the middle value of those observations. If we obtain with two medians, then we should add those two observations and then divide it by 2. So, let's solve!!

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➤ Solution (1) :-

${\to \tt 35, 27, 23, 20, 15, 25, 40, 26, 23, 20}$

Ascending order :-

${\to \tt 15 , 20 , 20 , 23 , 23 , 25 , 26 , 27 , 35}$

${\to \tt \cancel{15} , \cancel{20} , \cancel{20} , \cancel{23} , 23 , \cancel{25} , \cancel{26} , \cancel{27} , \cancel{35}}$

Here, we can notice that the 23 is the middle value. So,

Median :- 23

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➤ Solution (2) :-

${\to \tt 22, 17, 19, 27, 23, 15}$

Ascending order :-

${\to \tt 15, 17, 19, 22, 23, 27}$

${\to \tt \cancel{15} , \cancel{17} , 19 , 22 , \cancel{23} , \cancel{27}}$

Here, we can notice that we are obtained with two numbers. So,

${\to \tt \dfrac{19 + 22}{2} = \dfrac{41}{2}}$

${\to \tt \cancel \dfrac{41}{2} = 20.5}$

Median :- 20.5

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➤ Solution (3) :-

${\to \tt 31, 48, 37, 34, 45, 36, 41, 39}$

Ascending order :-

${\to \tt 31, 34, 36, 37, 39, 41, 45, 48}$

${\to \tt \cancel{31} , \cancel{34} , \cancel{36} , 37 , 39 , \cancel{41} , \cancel{45} , \cancel{48}}$

Here, we can notice that we are obtained with two numbers. So,

${\to \tt \dfrac{37 + 39}{2} = \dfrac{76}{2}}$

${\to \tt \cancel \dfrac{76}{2} = 38}$

Median :- 38

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Hence verified !!