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Likurg_2 [28]
3 years ago
14

Which statement below is incorrect? The mean is not affected by the existence of an outlier. The median is not affected by the e

xistence of an outlier. The standard deviation is affected by the existence of an outlier. The interquartile range is unaffected by the existence of an outlier.
Mathematics
2 answers:
taurus [48]3 years ago
5 0
The correct answer, or incorrect statement, is A.  The mean is not affected by the existence of an outlier.  
choli [55]3 years ago
5 0

Answer:

The mean is not affected by the existence of an outlier.

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g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
3 years ago
Suppose you bought supplies. Three rolls of streamers and 15 party hats cost $30. Later, you bought 2 rolls of streamers ad 4 pa
Zolol [24]
Since 30÷15 is 2 you now know each party hat is 2 dollars. Now we know that and we can easily find out how much a roll of streamer is. 11-(4x2)=3. 3÷2=1.5. One roll of streamer is $1.50 and one party hat is $2. I'm pretty sure I did this right lol I hope it helps
6 0
3 years ago
Which expression is equivalent to -3(2b + 9) + 5(-5b + 6)?​
Nata [24]

Answer:

C is correct

Step-by-step explanation:

-3(2b+9) + 5 (-5b+ 6)

-6b-27 -25b +30

-31b+3

7 0
3 years ago
What does slope?<br> example of slope?
iren2701 [21]
Rise over run would be a thing to start with since you use graphs<span />
8 0
3 years ago
Read 2 more answers
A crate to ship boxes of baseballs can hold 4 boxes that are each (6 x 6) * 2. How
stepladder [879]

Answer:

Each crate can contain 288 baseballs.

Step-by-step explanation:

Since one baseball takes up 1 × 1 × 1 space, and each box has 6 × 6 × 2 units of space, then the number of baseballs in one box is 6 × 6 × 2 ÷ 1 × 1 × 1 = 72 baseballs.

So, 72 baseballs can be contained in one box.

Now, since each crate contains 4 boxes, the number of balls contained in each crate is 1 × 4 boxes = 1 × 4 × 72 baseballs = 288 baseballs.

So each crate can contain 288 baseballs.

8 0
3 years ago
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