Use the data in the table. Find the median of the data. A) 11 B) 12 C) 13 D) 15

The dot plot represents a sampling of ACT scores:

Troyanec [42]

The data from a dot plot can be analyzed to find the five number summary, from which a box plot can be constructed

The correct option for the details of the box plot that represents the dot plot data is;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

The process of deriving the five number summary of the box plot above is as follows;

Known:

The data from the dot plot can be expressed in increasing order for analysis of a box plot as follows;

18, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22,22, 23, 23, 23, 24, 24, 25

The number of data points in the statistics, n = 18

Unknown:

The five number summary

Method:

Finding the five number summary as follows;

The minimum value = 18

The maximum value = 25

The first quartile, inclusive of the median Q₁ = The middle number of the lower half {18, 19, 19, 19, 21, 21, 21, 21, 22} = The (9 + 1)/2 th term

∴ Quartile 1 = Q₁ = 5th term = 21

The second quartile, Q₂ = The median (the middle number) = (22 + 22)/2 = 22 = Quartile 2

Quartile 2 = 22

The third quartile = The middle number of the upper half {22, 22,22, 23, 23, 23, 24, 24, 25} = Quartile 3 = 23

Quartile 3 = 23

Combining the above 5 number summary, the correct option for the box plot representing the dot plot data, is therefore;

Box plot titled ACT Score with a minimum of 18, quartile 1 of 21, median of 22, quartile 3 of 23, and maximum of 25

Learn more about box and whiskers, and dot plots here;

brainly.com/question/4002977

7 0

2 years ago

A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed

Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

$\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}$

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

$\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}$

3. Calculate EH

LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

EH + 684 m = 1182 m

EH = 498 m

The distance from E to H is 498 m.

5 0

3 years ago

What is the solution set of the quadratic inequality x²-5≤0

mart [117]

Answer:

X² - 5 = 0

x² = 5

square on both side

x = 5²

x = 25

May mine aswer might be wrong please retrify but as per my point of view it will be write

5 0

3 years ago

Joey puts 25% of his allowance into savings each week. If last week he put 10$ in savings, what was his allowance last week?

GrogVix [38]

Answer:

$40

Step-by-step explanation:

25% is 1/4.

If 10 is 1/4 of the full amount, then you take 10 and multiply by 4 to get the full amount.

10 times 4 equals 40.

7 0

3 years ago

1. The sum of the angles is 90° The difference between twice the larger angle and the smaller

Ostrovityanka [42]

Answer:

$\displaystyle 25°\:and\:°65$

Step-by-step explanation:

{90° = m∠1 + m∠2

{105° = 2m∠1 - m∠2

_______________

$\displaystyle \frac{195°}{3} = \frac{3m∠1}{3} \\ \\ 65° = m∠1$

All you have left to do is this:

$\displaystyle 25° = -65° + 90°$

So, your two angle measures are $\displaystyle 25°\:and\:°65.$

I am joyous to assist you anytime.

5 0

3 years ago