Question

1. The scores in Mathematics test (out of 25) of 15 students is as follows:
5, 16, 25, 20, 24, 12, 20, 19, 25, 23, 2009, 20, 15, 10
Find the mode and median of this data. Are they the same?​

Answer 1

Step-by-step explanation:

Question:-

The score in Mathematics test (out of 25) of 15 students are as follows:-

5,16,25,20,24,12,20,19,25,23,20,09,20,15,10

Find the mode and median of the data.

Are they same ?

Answer:-

Firstly let's arrange the data :-

5,9,10,12,15,16,19,20,20,20,20,23,24,25,25

i. Find the mode.

:- In order to find Mode,we have to observe that which number has more frequency (repeated most times) in the data.

We can see that:-

20 is repeated four times.

25 is repeated two times.

This concludes that 20 has the most frequency in the data.

Mode = 20

ii. Find the median.

:- Firstly,we have to count the total number of terms in the data and we know that there are 15 students,then the frequency is = 15 (odd)

∴ For odd frequency,the formula of median is:-

$= Median \: = \: ( \frac{n}{2} +1) term\\ \\ Then,inserting \: the \: formula \: according \: to \: the \: sum:- \\ \\ = Median \: = \: ( \frac{15}{2} + 1)term \: [Where \: n \: is \: the \: frequency] \\ \\ Median \: = \: ( \frac{16}{2} )term \\ \\ Median \: = \: 8th \: term \: = \: 20 \: (ans)$

Thus,we have seen that Mode = 20, Median = 20

So,yes both are the same.

{ɴᴏᴛᴇ : sᴄʀᴏʟʟ ᴛᴏ ᴛʜᴇ ʀɪɢʜᴛ ᴛᴏ ᴠɪᴇᴡ ᴛʜᴇ ғᴜʟʟ ᴀɴsᴡᴇʀ, ᴛʜᴀɴᴋs}

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