Mathematics High School

The height of 44 students (in centimeter) are presented in the frequency distribution below. Complete the table, and then find the median.

Height
182 - 188
175 - 181
168 - 174
161 - 167
154 - 160
147 - 153
140 - 146

Frequency
1
3
6
15
12
4
3

L







The Height Of 44 Students (in Centimeter) Are Presented In The Frequency Distribution Below. Complete

Answers

Answer 1

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, [tex]n=44[/tex].

[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]

[tex]\dfrac{n}{2}=22[/tex]

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].

[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]

[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]

[tex]Median=160.5+1.4[/tex]

[tex]Median=161.9[/tex]

Therefore, the median of the given data table is 161.9.

Related Questions

The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.​

Answers

hence (1,7.5) or (5,37.5) points

Can someone help me with this. Will Mark brainliest.

Answers

False hope that helps

Answer:

False

Step-by-step explanation:

because all four sides of a rectangle don't have to be equal. However, the sets of rectangles and rhombuses do intersect, and their intersection is the set of squares—all squares are both a rectangle and a rhombus.

:))

HELP, thanks, If a triangle has a side length of 8 inches, and another side length of 5 inches, which of the
following choices for the third side length will make a triangle?
a. 7 inches
b. 2 inches
c. 13 inches
d. 15 inches

Answers

Answer:

a. 7

Step-by-step explanation:

So a triangle a two sides that will always sum up to be greater than the third side.

Meaning:

a + b > c

a + c > b

b + c > a

So here, we're given a and b:

8 + 5 > c

8 + c > 5

5 + c > 8

Plug in the values:

13 > 7

15 > 5

12 > 8

These are all true, so it's probably 7.

13 > 2

10 > 5

7 > 8 This one is not true, so not 2.

13 > 13 This is not true, so not 13.

If not 13, we can't go any higher and so it can't be 15.

The quadratic function is given in both its standard and factored form below

Answers

x²+2x-15=(x+5)(x-3) there is nothing to factoriz

21 = -3c + 7 -5c -2

i need help with this multi step equation question​

Answers

Answer:

c=-2

Step-by-step explanation:

A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach​

Answers

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)2
2
= side21
1
2
+ side22
2
2

Let side1
1
= base and side2
2
= wall

172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64

wall = 225‾‾‾‾√
225

wall = 15 feet

>>>>>>>>>>15 feet

What is the slope of the line below?
The image is a graph of an x-axis and a y-axis. A line is drawn which passes through the points (2,3) and (-2,-7).

A. 5
B. 0.2 or 15
C. 2.5 or 52
D. 0.4 or 25

Answers

Answer:

The awnser is C. but please know I may be wrong

Step-by-step explanation:

C is the correct answer I think

the polynomial y = x^{5} + x^{3} - x^{2} - 1 factors into (x^{2} + 1) (x^{3} - 1). what is the multiplicity of the root (x^{3} - 1)?

Answers

Answer:

The multiplicity of the root is 1

Step-by-step explanation:

Firstly, we need to understand what multiplicity is

By multiplicity, we simply refer to the number of times we have the certain root repeating itself

From the factorization, each of the given roots were only repeated once

That indicates that the given multiplicity is 1

The number 64 is a perfect_____.
A. square
B. cube
C. square and cube

Answers

Answer:

square and cube

square- 8

cube- 4

Answer:

C) square and cube

Step-by-step explanation:

Square: 4×4×4×4=64

Cube: 8×8=64

Can I please have Brainliest?


The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 44 m. Find the dimensions of the rectangle

Answers

Answer:

Length of Rectangle is 3 cm less than twice the width

Area is 44 m2 ; let W = width;  2W - 3 = Length

Arect = L times W

44 = W ( 2W - 3 )

44 = 2W2 - 3W

0 = 2W2 - 3W - 44

Factoring

0 = ( 2W - 11 )( W +4)

2W - 11 =0   ;            W + 4 = 0

       W = 11/2                 W = -4  (width can not be a negative number)

Therefor: width is 11/2  and length is 8

Help me!
No links!! Please!!

Answers

Answer:

The perimiter is 65

Iplease need help will mark brainliest

Answers

Answer:

6. xint=-7

    yint=-3

7. xint=-7

yint=-5

Step-by-step explanation:

Answer:

6. (-7,-3)

7. (-7,-6)

Them are the coordinates

solve for x.
hint: use your knowledge of parallel lines. what do you know about these angles? are they congruent or supplementary?

Answers

Answer:

x = 11

Step-by-step explanation:

The given angles are supplementary which means their sum is 180

8x - 6 + 98 = 180 add like terms

8x + 92 = 180 subtract 92 from both sides

8x = 88 divide both sides by 8

x = 11

3/10 = N/10

Find the missing value to write an equivalent fraction.

Multiply the numerator and denominator by
.

The missing numerator is
.

Answers

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

I need 11 and 12 thanks!

Answers

Answer:

11. c > 5

12. option 1

Step-by-step explanation:

alexander is counting his money from his piggy bank. he stacks four quarters per pile. there are 21 piles of quarters.

how many quarters does he have?

Answers

Answer:

He has 84 quaters

Step-by-step explanation:

all you really have to do is multiply 4 times the number of stacks and you get 84

Round your answer to the tenths place if necessary

Help me please! :(

Answers

the answer should be 80.5

Answer:

∠ B = 80.5°

Step-by-step explanation:

Since AB = AC then the triangle is isosceles with base angles congruent, so

∠ B = ∠ C , then

∠ B = [tex]\frac{180-19}{2}[/tex] = [tex]\frac{161}{2}[/tex] = 80.5°

Can someone please help me with this question please help me.


James scored a total of 16 points during a basketball game. During the game, he made only free throws, worth 1 point each, and 3-point baskets. He made a total of 10 free-throws and 3-point baskets. Determine exactly how many free throws and how man 3-point basket James made during the game.

Answers

Answer:

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Step-by-step explanation:

James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).

Set the equations:

16 = x + 3y

10 = x + y

First, isolate the variable x in the second equation. Divide y from both sides of the equation:

10 (-y) = x + y (-y)

x = 10 - y

Next, plug in 10 - y for x in the first equation:

16 = x + 3y

16 = (10 - y) + 3y

Simplify. Combine like terms:

16 = 10 - y + 3y

16 = 10 + (-y + 3y)

16 = 10 + 2y

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 10 from both sides of the equation:

16 (-10) = 10 (-10) + 2y

2y = 16 - 10

2y = 6

Next, divide 2 from both sides:

(2y)/2 = (6)/2

y = 6/2 = 3

Plug in 3 for y in one of the equations:

16 = x + 3y

16 = x + 3(3)

16 = x + 9

Isolate the variable, subtract 9 from both sides of the equation:

16 (-9) = x + 9 (-9)

x = 16 - 9

x = 7

x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.

Plug in to check:

16 = x + 3y

10 = x + y

16 = (7) + 3(3)

16 = 7 + 9

16 = 16 (True)

10 = (7) + (3)

10 = 10 (True).

~

Answer:

x = 7 , y = 3  or 7 free throws, and 3 3-pointers.

Step-by-step explanation:

On Monday morning, a school cafeteria had 97.88 gallons of milk. At lunch, the students drank 8
gallons of the milk. How much milk does the cafeteria have left?
gallons

Answers

Answer:

89.88 gallons of milk

Step-by-step explanation:

97.88-8=89.88

Please help! The question is:
In a marketing survey involving 1,000 randomly chosen people, it is found that 630 use brand P, 420 use brand Q, and 210 use both brands. How many people in the survey use brand P and not brand Q?

Answers

By Set theory, 420 many people in the survey use brand P and not brand Q.

What is Set theory?

The mathematical concept of sets, which are well-defined collections of things that are referred to as their members or elements, is known as set theory. As only sets are the subject of pure set theory, the only sets that are taken into account are those whose members are also sets.

                               The major reason why set theory is significant is because it offers the axioms upon which the rest of mathematics is constructed. We study sets and their characteristics in the area of mathematical logic known as set theory. A collection of items or a group of items is referred to as a set. These items are frequently referred to as elements or members of a set.

P use = 630 people

Q use = 420 people

both P&Q use ie P∩Q = 210 People

use brand P but not brand Q = P/ P∩Q

                                               = 630 - 210

                                             = 420

Learn more about Set theory

brainly.com/question/27333813

#SPJ1

what does 96*96 equal??

Answers

pretty sure 96 * 96 = 9216 !

if your not good with percentages, i suggest you should go...
25% of ______ is 15
70% of 30 is ______
What % is 15 of 50?
15% of ______ is 6
40% of 30 is _____
LAST ONE!!!
What % is 40 of 50?
BONUS! (I'm good at these so its oppional)
3 / 1 1/6 =

Answers

25% of 60is 15
70% of 30 is 21
What % Is 15 of 50= 7.5
15% of 50 is 7.5
15% of 40 is 6
40% of 30 is 12
40% of 50 is 20

Find the slope of the line with x intercept 9 and y intercept of -2

Answers

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

Subtract 4 from 9 then subtract 5 from the result written expression for the sequence of operations described below

Answers

Answer:

( 9 - 4 ) - 5

Step-by-step explanation:

According to the scenario, expressions can be written as follows,

Subtract is denoted by (-) sign.

So, First sequence of operation,

= For subtract 4 from 9 can be written as ( 9 - 4)

= Second sequence of operation,

Now, subtract 5 from result can be written as ( 9 - 4) - 5

Hence, the final written expression will be ( 9 - 4) - 5.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

MN = 4 units

m<MLN = 42 degrees

Step-by-step explanation:

For this problem, we need to know the definition of congruence. Two shapes are said to be congruent if the angles and sides have the exact same measurements.

We are given that these two triangles are congruent, so we know they are the same. XYZ ~= NML

Since we know this, we simply rotate the triangles to be the same to know the measurements.

We know that XY = MN = 4 units.

We know that m<YZX = m<MLN = 42 degrees.

So, these are the solutions.

Cheers.

21) Which expression is equivalent to 6(7x − 4)? A) 13x − 10 B) 13x − 24 C) 42x − 10 D) 42x − 24

Answers

Answer:

Answer is D) 42x − 24

Step-by-step explanation:

Opening the expression given in question

6(7x − 4)

6 will be multiplied by both items present inside parenthesis.

it can be written as

={(6 * 7x) - (6*4)}

=42x-24

Hope that clears the question.

questions 13 & 14 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

13: answer is x= —4
14: answer is x= 1/3, x= 2

4.What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)? (5 points)


a
y + 6 = 1(x + 3)

b
y + 1 = −1(x + 2)

c
y − 6 = −1(x + 3)

d
y − 6 = 1(x − 3)

Answers

Answer:

d

Step-by-step explanation:

im doing fast calculation

it's all on the picture please answer ​

Answers

Answer:

[tex]\boxed {\boxed {\sf 32+8k}}[/tex]

Step-by-step explanation:

We are given the expression:

[tex]8(4+k)[/tex]

To solve, distribute the 8. Multiply each term inside the parentheses by 8.

[tex](8*4)+ (8*k) \\ (32)+(8k) \\32+8k[/tex]

The expression is equal to 32+8k

can SOMEBODY HELP ME WITH THIS LESSON I NEED HELP ASAP !!​

Answers

Answer:

what's your question? I'm here to help if I can.

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