Question

Solve pls solve pls ​

Answer 1

Step-by-step explanation:

10 .e83i4 33x good luck okokok

Answer 2

Step-by-step explanation:

Given:

x__10__20__30__40__50__60

f__4____k___8___p___3___4

To find:

Value of k and p,if mean is 34.

Solution:

Step 1: Find equation of k and p with given frequency

$\begin{gathered}4 + k + 8 + p + 3 + 4 = 35 \\ \\ k + p = 35 - 19 \\ \\ \bold{\red{k + p = 16}}...eq1 \\ \end{gathered}$

Step 2: Find equation of k and p,with given mean

We know that

$\begin{gathered}\boxed{\bold{\overline{x}=\dfrac{\Sigma x_if_i}{f}}}\\\end{gathered}$

Thus,

$\begin{gathered}34 = \frac{10 \times4 + 20 \times k + 30 \times 8 + 40 \times p + 50 \times 3 + 60 \times 4 }{35} \\ \\ 1190 = 40 + 20k + 240 + 40p + 150 + 240 \\ \\ 1190 = 20k + 40p + 670 \\ \\ 20k + 40p = 1190 - 670 \\ \\ 20k + 40p = 520 \\ \\ or \\ \\ \bold{\green{k + 2p = 26}}...eq2 \\ \end{gathered}$

Step 3: Solve eq1 and eq2

Subtract both equations

$\begin{gathered}k + p = 16 \\ k + 2p = 26 \\ ( - ) \: \: ( - ) \: \: ( - ) \\ - - - - - - \\ - p = - 10 \\ \\ \bold{p = 10 }\\ \\ \end{gathered}$

put the value of p in eq1

$\begin{gathered}k + 10 = 16 \\ \\\bold{ k = 6 }\\ \end{gathered}$

Final answer:

Value of k=6 and p=10.