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
lana [24]
1 year ago
15

At Hogwarts School of Witchcraft and Wizardry, Professor Snape was concerned about grade inflation, and suggested that the schoo

l should issue standardized grades (or 2-scores), in addition to the regular grades. How might this work? Harry was in four classes, each with 20 students. Harry's score, the class mean, and the class standard deviation are given below. Compute his standardized grade in each class. If we judged by standardized grades, where did he do best? Where did he do worst?​

Mathematics
1 answer:
ExtremeBDS [4]1 year ago
3 0

Answers:

The z scores are approximately:

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

From those scores, we can say:

  • Best grade = Defense Against the Dark Arts
  • Worst grade = Potions

=====================================================

Further Explanation:

We'll need to convert each given score to a corresponding standardized z score.

The formula to use is

z = (x - mu)/sigma

where,

  • x = given grade for each class
  • mu = mean
  • sigma = standard deviation

Let's find the z score for the Care of Magical Creatures class

z = (x - mu)/sigma

z = (3.80 - 3.75)/(0.15)

z = 0.333 approximately

Repeat this process for the Defense Against the Dark Arts score.

z = (x - mu)/sigma

z = (3.60 - 3.25)/(0.60)

z = 0.583 approximately

And for the Transfiguration class as well

z = (x - mu)/sigma

z = (3.10 - 3.20)/(0.38)

z = -0.263 approximately

The negative z score means his grade below the average, whereas earlier the other scores were above the average since he got positive z scores.

Now do the final class (Potions) to get this z score

z = (x - mu)/sigma

z = (2.50 - 2.90)/(0.75)

z = -0.533 approximately

This grade is below average as well.

----------------------------

To summarize, we have these z scores

  • Care of Magical Creatures:  z = 0.333
  • Defense Against the Dark Arts:  z = 0.583
  • Transfiguration:  z = -0.263
  • Potions: z = -0.533

Harry did his best in Defense Against the Dark Arts because the z score of 0.583 (approximate) is the largest of the four z scores. On the other hand, his worst grade is in Potions because -0.533 is the lowest z score.

You might be interested in
Suppose you have ordered one medium onion ring and one 16oz chocolate shake from Burger King. The onion rings have 19 grams of f
dsp73

Part A:

23 + 13x ≤ 81

Part B:

23 + 13x ≤ 81

<u>-23  </u>          <u>-23</u>

13x ≤ 58

<u>/13 </u>    <u>/13</u>

x ≤ 4.46

Part C:

This means that you can have 4 cheeseburgers while keeping the fat under 81 grams.

5 0
3 years ago
The value of the varriable which satisfies the equation is called the _______ of the equation​
scoray [572]

Answer:

solution

Step-by-step explanation:

solution is the answer

3 0
2 years ago
HELP PLZ WILL GIVE YOU BRAINIEST
slamgirl [31]

Answer:

diameter is 16.60 ft

the circumference is 52.12ft

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
What is the formula for the nth term of the given sequence 100, 20, 4, …
Naily [24]

Answer:

a_n=100 \left(\dfrac15\right)^{n-1}

Step-by-step explanation:

General equation of geometric sequence:  a_n=ar^{n-1}

Given:

  • a₁ = 100
  • a₂ = 20
  • a₃ = 4

\implies a_1=a=100

\implies a_2=100 \cdot r=20

\implies a_3=100 \cdot r^2=4

Common ratio:

r=\dfrac{a_3}{a_2}=\dfrac{4}{20}=\dfrac15

Therefore:

a_n=100 \left(\dfrac15\right)^{n-1}

6 0
2 years ago
Put these in order starting with the smallest 16 1/2 (-3)^0 (1/27)^1/3
KengaRu [80]
0 6 77383 usuesj 727262829 -3 -3 -6 66
5 0
3 years ago
Read 2 more answers
Other questions:
  • The schematic of a rectangular patio is drawn 1/4 inch to 1 feet. if the patio is 18 feet long, what is the measure of the patio
    11·1 answer
  • Math question down below
    7·1 answer
  • What is the slope of the line that passes through (6, 6) and (-6.0)​
    5·1 answer
  • consider the numbers 3/10 and 4/13 compare the numbers find a rational number between the two given numbers
    8·1 answer
  • Use tape diagrams to calculate the solution of 30 = 5w. Then, check your answer.
    7·1 answer
  • The height in feet of a rocket launched into the air is modeled by the function (t)=-16t^2+160t+300 where t is time in seconds.
    11·1 answer
  • If the area is 1808.64 what is the circumference
    6·1 answer
  • Mr. Wilson's desk drawer contains 4 black, 3 blue, and 3 red pens. If he selects one pen a random, what is the probability that
    14·1 answer
  • A. complementary<br> B. supplementary<br> C. vertical<br> D. no relationship
    12·2 answers
  • The girls decide to only spend $40 between them.on average,how much money can each girl spend?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!