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vampirchik [111]
3 years ago
8

When might the inter-quartile range be better for describing a data set than the range?

Mathematics
2 answers:
g100num [7]3 years ago
6 0

Answer: If the data has outliers

Step-by-step explanation:

  • The range is defined as the difference between the maximum and minimum data values in a data set.  It give the estimate of the spread of the data.
  • The interquartile range in statistics is defined as the difference between the first and the third quartiles. It also gives the estimate of the spread of the data.

But if a data has outliers then it might not give a true estimation of the spread of data. Then the interquartile range would be better for describing the spread of  a data set than the range because in ineterquartile range we exclude the outliers so that the interquartile range works .

Bess [88]3 years ago
5 0
If the data has outliers
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kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed a\leq x \leq b and in your case \nexists x\in\mathbb{Z}: a\leq x\leq b for a>b

In fact, considering a set S we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing $ that satisfy S = S \cup \varnothing

This means that, by definition \sum_{x=a}^b \varnothing = 0

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

we have other problems. Actually, this case is really bad.

Note that \cos^2(\infty) has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$, the cosine function oscillates between [-1, 1] , and therefore it is undefined. Thus, we cannot evaluate

9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0
3 years ago
How many centimeters are in 15 yards?
Ann [662]

Answer:

1371.6 (cm) are in 15 yards

Step-by-step explanation:

1371.6 centimeters are in 15 yards since 1 yard is equal to 91.44.

8 0
3 years ago
Read 2 more answers
8*1,000,000+8*1/1,000,000
iren [92.7K]

Answer:

Step-by-step explanation:

8000000

<em>Hope that helps!</em>

8 0
3 years ago
Read 2 more answers
In a race, there are 14 runners. Trophies for the race are awarded to the runners finishing in first through fourth place. In ho
iVinArrow [24]
Slot method or permutations
14*13*12*11=24024
there are 24024 ways that have different winners

8 0
3 years ago
Read 2 more answers
What is the probability of drawing two aces in a row from a deck of 52 cards, replacing the first card and reshuffling the deck?
sineoko [7]

Answer:

1/169

Step-by-step explanation:

There are 4 aces in a deck of 52.

The probability that the first card is an ace is 4/52.

Since the card is replaced, the probability that the second card is an ace is also 4/52.

The total probability is (4/52) (4/52) = 1/169.

5 0
3 years ago
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