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sertanlavr [38]
3 years ago
14

Which of the following statements about central tendency is most correct. a) the calculation of the mean includes every value in

your data b) the median is not influenced by a single outlier in large datasets c) the mode can be multiple values d) all of the above are correct
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

Option D) all of the above are correct

Step-by-step explanation:

We have to find the statements that is true about the central tendency.

a) the calculation of the mean includes every value in your data

The given statement is true.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

b)  the median is not influenced by a single outlier in large data sets

The above statement is true as the median is less liable to be distorted by outliers. The median is the mid value of data that divides the data in two equal parts.

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

c) the mode can be multiple values

The above statement is true as mode is the most frequent value in the data and there can be more than 1 mode.

Thus, allthe statements are true.

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Select all the equations that have the same solution as the equation 3x – 12 = 24
Stolb23 [73]
Your answer will be D and E
7 0
2 years ago
Emily goes to the store with $56. She buys pants for $19, a shirt for $17 and 2 bracelets for $4. Does she have enough for a pai
Sergeu [11.5K]
19+17+4+4=44

56-44=12

20-12=8

No, and she needs 8 more dollars.
8 0
3 years ago
Find the LCM of 16x² and 40x5
Neko [114]

Answer:

The LCM of 16x^2 and 40x^2 is 80x^5

:) Good Luck

Step-by-step explanation:

4 0
1 year ago
What is 8 2/5% of 75? Write your answer as a decimal
likoan [24]

Answer: 0.875

Step-by-step explanation:

The answer that has already been given is perfect in and by itself. I just want to give you some methods for doing these type of questions so that you won’t stagger when you see these type of questions in exams (like the SAT).

Whenever you see such questions, remember the following things. These are conversions of English words to Mathematical tools.

What

=

Any variable like

x

Percent / Percentage / %

=

Divide by 100

of

=

Multiply

is

=

Put an equal to (

=

) sign

I’ll give you an example through a question.

What percent of 200 is 5?

Ans: Replace English words by mathematical tools according to the rules I told you.

x

( What) /100 ( percent)

×

( of) 200

=

( is) 5

In a refined form,

x

100

×

200

=

5

Calculate x. On calculating, x comes out to be

2.5

So, 2.5 percent of 200 is 5.

Now your question is actually very simple if you follow my rules.

You want 87.5%. By the rules, % means divided by 100. So

87.5

%

=

87.5

100

and now using the same strategy, Ans:

875

1000

Disregard the next section if you know how to convert a decimal to a fraction

Section Starts

First, I’ll write the decimal form. Whenever you divide by a number that is in form of 1 followed by

n

number of zeroes. (here 1 is followed by 2 zeroes), you should shift the decimal point to the left side by n places.

In this case, shift decimal point in 87.5 to the left by 2 places. So this becomes 0.875.

This is the answer in decimal point.

Now simultaneously, I’ll teach you how to convert a decimal into a fraction.

Here, you see 2 types of “numbers”. One to the left side of the decimal point and one to the right side of the decimal point.

Here, left side of decimal point is 0 and right side of decimal point is 875.

Count the number of digits in the number to the right side of the decimal point (Here, the number of digits is 3)

Remove the decimal point and divide the number by a number formed by 1 followed by the “digits” we obtained (i.e. 3).

So, 875/1000. Simplify this, and you get your answer.

5 0
2 years ago
A bag contains 4 red marbles, 6 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the probabi
yawa3891 [41]

Answer:

Step-by-step explanation:

Total marble = 4+6+7 = 17

Number of green = 7

Prob(1st green) = 7/17

Now their are 6 green left and 16 marble

Prob(2nd green) = 6/16 = 3/8

Now their are 5 green left and 15 marble

Prob(3rd green) = 5/15 = 1/3

Prob(1st and 2nd and 3rd green) will be = 7/17 × 3/8 × 1/3

= 7/(17×8)

= 7/136

3 0
3 years ago
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