Question

using empirical formula calculate the mode. if meadian is 3 amd mean is 3.28​

Answer 1

Answer:

from a less concentrated solution into a more concentrated one.

2.

the process of gradual or unconscious assimilation of ideas, knowledge, etc.

"by some strange political osmosis, private reputations became public"

the process by which green plants and some other organisms use sunlight to synthesize nutrients from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a by-product.

Answer 2

Step-by-step explanation:

In this question, we have to find the mode of given data using empirical formula. Generally mode is the term which occurs most frequently in the data, but here we have to use empirical formula for finding mode. Empirical formula states that mode=3median−2mean

. This means we have to calculate mean and median of the given data and then use the formula to find mode. For finding the mean, we will add all the terms and then divide by total number of terms. For median, we will arrange the data in ascending order, and then find the middle term. If the number of terms are odd, then n2th term is the middle term. If the number of terms are even, then average of n2th and (n2+1)th

is the middle term where n is the number of terms.

Complete step-by-step answer:

We are given the data as 17,16,25,23,22,23,28,25,25,23.

As we can see that the total number of terms is 10. Let us find the meaning first. For this, we have to find the sum of the terms first. Hence,

17+16+25+23+22+23+28+25+25+23=227

Now, mean is given by =Sum of termsNo. of terms=22710=22.7

Hence, the mean of the given data is 22.7.

Mean=22.7 ...(1)

Let us calculate the median now. As the number of terms of given data is 10 which is even, so we will get two middle terms of which average has to be taken. But first let us arrange the data in the ascending order. Data becomes as –

16,17,22,23,23,23,25,25,25,28

Let us check n2th and (n2+1)th

from the rearranged data. We get 5th and 6th terms which are –

5th=236th=23

Now let us take the average of them to find our required median.

Median =(23+233)=23

Mean=23 ...(2)

As we know that the empirical formula is given by –

mode=3median−2mean

Putting values from (1) and (2), we get –

mode=3(23)−2(22.7)=69−45.4=23.6

Hence, mode of given data is 23.6.