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3 years ago

Do outliers affect box plots. If so how?

Mathematics

1 answer:

vfiekz [6]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

An outlier can cause the "whiskers" of the box plot to be longer but it shouldn't affect the actual box with your Q1, median, and Q3 data

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Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

With a frequency of 4

d) $MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

e) $s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0

3 years ago

A party rental company has chairs and tables for rent. The total cost to rent 5 chairs and

Alona [7]

Answer:

1 Chair= $1.25 1 table= $8.25

Step-by-step explanation:

5c+3t=31

2c+6t= 52

-2(5c+3t=31)

-10c-6t=-62

2c+6t=52

= -8c=-10

/-8 /-8

c= 1.25 or 1 1/4

2c+6t=52

2(1.25)+6t=52

2.5+6t=52

-2.5 -2.5

6t= 49.5

/6 /6

t= 8 1/4

5 0

3 years ago

Explain why -4 is greater than -10 even though 4 is less than 10

Korvikt [17]

-4 is greater than - 10 because -4 is closer to 0 than -10 is

4 0

4 years ago

Read 2 more answers

Find B: 9.38 88 15.83 4

mario62 [17]

Answer:

by using Pythagoras law

h²=p²+b²

13²=9²+b²

169-81=b²

b=√88=2√22m is your answer

4 0

3 years ago

Write the formula for a function d(x) that describes the distance between the point p and a point (x,y) on the line.

STALIN [3.7K]

M=y2-y1 divided by x2-x1. or y=mx+b

4 0

4 years ago