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Travka [436]
2 years ago
5

Find the mean, median, and mode of the data with and without the outlier. 101, 110, 99, 100, 64, 112, 110, 111, 102

Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0

Answer:

Step-by-step explanation:

First step

Put the numbers in numerical order.

64 99 100 102 110 110 111 112  

Median

Median is the middle number. If the number of numbers is even then you take the middle 2 and average them.

This has 8 entries so you take the middle 2 and average them.

102 and 110 are the middle 2. They can be averaged.

(102 + 110)/2 = 212/2

212 / 2 = 106

The median is 106.

Mode

The mode is the entry with the most number that are the same.

110 is given twice. Nothing else is. So the mode is 110

Mean

The mean is the average. You add the eight numbers and divide by 8.

Sum = 64 + 99 +  100 +  102 +  110 +  110 +  111 +  112  

Sum = 808

Now divide by 8

Mean = 808/8

Mean = 101

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the performing arts department put in its spring show on Friday and Saturday nights. the price of a ticket was the same both nig
Galina-37 [17]
Let p= the price of a ticket
Let c= the cost to put on the show

Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:
500=120p-c
400=100p-c
Solve:
100=20p
⇒p=5
⇒400=100(5)-c
⇒400=500-c
⇒c=100

So the price of a ticket is $5, and the cost to put on the show is $100.
3 0
3 years ago
For the function F defined by F(x)=x2−2x+4, find F(−2).
Kruka [31]

Answer:

12

Step-by-step explanation:

x^2-2x+4  replace -2 for x

-2^2-2(-2)+4

4+4+4

12

4 0
3 years ago
Read 2 more answers
Help ASAP
horrorfan [7]

Answer:

p=\frac{181}{301}

Step-by-step explanation:

30100 have dogs, 18100 have cats.

The question simply asks for a union scenario thus the law of AND & OR is applicable.

Therefore:-Those who have both cats and dogs partially have cats.

P(X=both \ cat \ and \ dog)=\frac{18100}{30100}\\p=\frac{181}{301}

8 0
3 years ago
Read 2 more answers
Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se
son4ous [18]

Answer:

The question is incomplete, the complete question is  "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.  log_{4}7.

log_{4}7=1.404\\

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

log_{a}b=\frac{logb}{loga} \\

where both log are now express in the natural logarithm base.

i.e log_{a}b=\frac{lnb}{lna}\\

hence we can express our log_{4}7=\frac{ln7}{ln4} \\.

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence  log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\.

log_{4}7=1.404\\

6 0
3 years ago
BRAINLIESTTT ASAP! PLEASE HELP ME :)
marta [7]

We can use the Pythagorean theorem to solve for the perimeter of the kite.

a² + b² = c²

3² + 4² = UV²

9 + 16 = UV²

25 = UV²

√25 = √UV²

5 = UV

In the kite, adjacent sides are the same so UV = VW

3² + 9² = UX²

9 + 81 = UX²

90 = UX²

√90 = √UX²

9.49 ≈ UX or 3√10 ≈ UX

Now, add to find the perimeter.

5 + 5 + 9.49 + 9.49 or 5 + 5 + 3√10 + 3√10

28.98 or 10 + 6√10

Therefore, the perimeter is approximately 28.98 or 10 + 6√10

Best of Luck!

6 0
3 years ago
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