Question

A sample of 500 Apples are taken at random from a large basket and 50 are found to be bad. Calculate standard Error.

Answer 1

Answer:

10 % standard Error

Step-by-step explanation:

According to the information provided in the question it is given as

A sample of 500 Apples are taken at random from a large basket

50 are found to be bad

We need to Calculate standard Error.

Here

Total apples = 500

Bad apple =50

Hence

Good apples = Total apples - Bad apples

Putting the values

                        =500 - 50

                        = 450

Standard Error =  

500 =450

100 = x

by simple cross multiplication we get the answer

[tex]500x =450\times 100\\ 500x= 45000\\ x= \frac{45000}{500} \\ x = 90[/tex]

hence 90 apples are good in 100 apples hence

10 apples are bad means we observed that

100- 90 =10

standard error is 10 %

Answer 2

$\large\underline \red{\sf{solution}}$

$\large\underline \pink{\sf{given \rightarrow number \: of \: apples = 500}}$

$\large\underline \pink{\sf{number \: of \: bad \: apples \rightarrow 50}}$

$\large\underline \pink{\sf{number \: of \: apples \: to \: be \: sold \downarrow}}$

$\large\underline \pink{\sf{ \implies450 \: apples}}$

$\large\underline \blue{\sf{formula \: used \rightarrow \frac{remaining \times 100}{total \: apples} }}$

$\large\underline \green {\sf{applying \: formula \rightarrow}}$

$\large\underline \green{\sf{ \implies \frac{450apples }{500apples} \times 100 \%}}$

$\large\underline \green{\sf{ \implies 90\%}}$

$\large\underline \green{\sf{100\% - 90\% \rightarrow 10\%}}$

$\large\underline \green{\sf{standard \: error \rightarrow 10\%}}$

____________________

$\large\underline \blue{\mathfrak {more \: formulas}} \\ \large\underline \blue{\sf{ \star profit\% \rightarrow \frac{100 + profit\%}{100} \times cp}} \\ \large\underline \blue{\sf{ \star loss\% \rightarrow \frac{100 - loss\%}{100} \times cp}}$