1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Drupady [299]
3 years ago
14

Helppp me plsssssssss​

Mathematics
1 answer:
Oliga [24]3 years ago
7 0

Answer:

The class 35 - 40 has maximum frequency. So, it is the modal class.

From the given data,

  • \sf \:\:\:\:\:\:\:\:\:\:x_{k}=35
  • \sf \:\:\:\:\:\:\:\:\:\:f_{k}=50
  • \sf \:\:\:\:\:\:\:\:\:\:f_{k-1}=34
  • \sf \:\:\:\:\:\:\:\:\:\:f_{k+1}=42
  • \sf \:\:\:\:\:\:\:\:\:\:h=5

{\bf \:\: {By\:using\:the\: formula}} \\ \\

\:\dag\:{\small{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}}} \\ \\

\sf \:\:\:\:\:\:\:\:\:= 35+ {\bigg(5 \times \dfrac{(50 - 34)}{ ( 2 \times 50 - 34 - 42)}\bigg)} \\ \\

\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= 35 +{\bigg(5 \times \dfrac{16}{24}\bigg)} \\ \\

\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:= {\bigg(35+\dfrac{10}{3}\bigg)} \\ \\

\sf \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:(35 + 3.33) =.38.33 \\ \\

\:\:\sf {Hence,}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\ \large{\underline{\mathcal{\gray{ mode\:=\:38.33}}}} \\ \\

{\large{\frak{\pmb{\underline{Additional\: information }}}}}

MODE

  • Most precisely, mode is that value of the variable at which the concentration of the data is maximum.

MODAL CLASS

  • In a frequency distribution the class having maximum frequency is called the modal class.

{\bf{\underline{Formula\:for\: calculating\:mode:}}} \\

{\underline{\boxed{\sf {Mode,\:M_{o} =\sf\red{x_k + {\bigg(h \times \: \dfrac{ ( f_k - f_{k-1})}{ (2f_k - f_{k - 1} - f_{k +1})}\bigg)}}}}}} \\ \\

Where,

\sf \small\pink{ \bigstar} \: x_{k}= lower\:limit\:of\:the\:modal\:class\:interval.

\small \blue{ \bigstar}\sf \: f_{k}=frequency\:of\:the\:modal\:class

\sf \small\orange{ \bigstar}\: f_{k-1}=frequency\:of\:the\:class\: preceding\:the\;modal\:class

\sf \small\green{ \bigstar}\: f_{k+1}=frequency\:of\:the\:class\: succeeding\:the\;modal\:class

\small \purple{ \bigstar}\sf \: h= width \:of\:the\:class\:interval

You might be interested in
5 less than the product of 8 and a number
zheka24 [161]
N-the number

the product of 8 and the number: 8 × n = 8n

5 less than the 8n: <u>8n - 5</u>
4 0
3 years ago
Read 2 more answers
Explain why lxl=-5 doesn't have a solution
igomit [66]
It doesn’t have a value. The absolute value function is always positive or 0
3 0
4 years ago
Read 2 more answers
What is the inverse of f(x)= cube root of x +2.
Sergeu [11.5K]
f(x) = \sqrt[3]{x + 2} \\y = \sqrt[3]{x + 2} \\y^{3} = x + 2 \\x^{3} = y + 2 \\x^{3} - 2 = y \\x^{3} - 2 = f^{-1}(x)
3 0
3 years ago
What are the sizes of x , y and z
Fiesta28 [93]

Answer:

x=70°

y=30°

z=20°

Step-by-step explanation:

You first need to find y, which would be 30 because the sum of the first two angles is 150, and a triangle has 180 degrees, so 180-150=30.

By finding y, we can now find a, because if you take the entire triangle, y+z must equal 50. So, z=20 because 30+z=50.

And finally, we can find x to be 70 since the sum of the two other angles is 110 and 180-110=70.

5 0
3 years ago
!!CHECK MY ANSWERS!!
AlekseyPX
I think you're right. I'm in pre-algebra, and sucks at it. Yet, I keep a A.
4 0
3 years ago
Other questions:
  • A student spent 15 minutes getting a 2-foot by 3-foot bulletin board. To the nearest tenth of a minute, how long did it take the
    14·1 answer
  •  Which of the situations correspond to the equation below? 0.35 ( t + $850) = $339.50
    14·1 answer
  • Solve the equation (1 +2)u, + uy - 0. 5
    12·1 answer
  • Mr.hassan is making custom t-shirts for his eight grandchildren.At the tshirt express each custom tshirts cost 15.45 to make.At
    5·1 answer
  • Which measurement is most accurate to describe the distance from Los Angeles to New York City?
    11·2 answers
  • 4x-32=-8 what is the variable x
    15·2 answers
  • What is the slope between the fallowing point: (8,-1) and (-7,4)
    12·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!! 20 POINTS!!!!!!!!!!!!!!!!
    11·1 answer
  • Don't have to do all of them just tell me the ones you do.​
    13·1 answer
  • Technology is also known as Applied Science because it involves "using" science to make something useful for mankind.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!