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S_A_V [24]
3 years ago
15

In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider

the following data set.4, 4, 5, 8, 12(a) Compute the mode, median, and mean.i. mode ii. median iii. mean (b) Multiply each data value by 6. Compute the mode, median, and mean.i. mode ii. median iii. mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant?Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c.Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c.There is no distinct pattern when each data value is multiplied by the same constant.(d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 68inches, the median is 70 inches, and the mean is 70 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters? (Enter your answers to two decimal places.)i. mode cmii. median cmiii. mean cm
Mathematics
1 answer:
andreev551 [17]3 years ago
6 0

Answer:

a) Mean = 4.6, median = 3, mode =2

b) Mean = 13.8, median = 9, mode = 6

c) Option C) Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c

Step-by-step explanation:

We are given the following data:

2, 2, 3, 6, 10

a) Mean, median and mode

Sorted data: 2, 2, 3, 6, 10

Mode is the most frequent observation in data.

Mode = 2

b) Multiplying data set by 3

6, 6, 9, 18, 30

Mode = 6

C) Comparison

The mean, median and mode of the new data increased by a factor of 3.

Option C) Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c

Click to let others know, how helpful is it

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An object is launched from ground level with an initial velocity of 120 meters per second. For how long is the object at or abov
babunello [35]

Answer:

D) 14 seconds

Step-by-step explanation:

First we will plug 500 in for y:

500 = -4.9t² + 120t

We want to set this equal to 0 in order to solve it; to do this, subtract 500 from each side:

500-500 = -4.9t² + 120t - 500

0 = -4.9t²+120t-500

Our values for a, b and c are:

a = -4.9; b = 120; c = -500

We will use the quadratic formula to solve this.  This will give us the two times that the object is at exactly 500 meters.  The difference between these two times will tell us when the object is at or above 500 meters.

The quadratic formula is:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using our values for a, b and c,

x=\frac{-120\pm \sqrt{120^2-4(-4.9)(-500)}}{2(-4.9)}\\\\=\frac{-120\pm \sqrt{14400-9800}}{-9.8}\\\\=\frac{-120\pm \sqrt{4600}}{-9.8}\\\\=\frac{-120\pm 67.8233}{-9.8}\\\\=\frac{-120+67.8233}{-9.8}\text{ or }\frac{-120-67.8233}{-9.8}\\\\=\frac{-57.1767}{-9.8}\text{ or }\frac{-187.8233}{-9.8}\\\\=5.3242\text{ or }19.1656

The two times the object is at exactly 500 meters above the ground are at 5 seconds and 19 seconds.  This means the amount of time it is at or above 500 meters is

19-5 = 14 seconds.

6 0
3 years ago
Which values are solutions to the inequality below? Check all that apply <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%7D%20"
MaRussiya [10]
X > 169 is your Answer thus: b:/d & f:
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What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
GuDViN [60]
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2 years ago
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A researcher was interested in utilities provided by city governments. The researcher randomly selected 20 counties from a list
DaniilM [7]

Answer:

1. The population of interest is all city goverments in the U.S.

5. The parameter of interest is the proportion of the city goverments in the U.S. that provide electricity to their residents.

Step-by-step explanation:

Hello!

Missing questions:

Which of the following is true? Select all that apply.

  1. The population of interest is all city governments in the U.S.
  2. The population of interest is the 192 cities.
  3. The population of interest is all city governments that provide utilities to their residents.
  4. The population of interest is 6.25%
  5. The parameter of interest is the proportion of the city governments in the U.S. that provide electricity to their residents.
  6. The parameter of interest is 6.25%
  7. The population of interest is the 20 counties.
  8. The parameter of interest is the list of all counties in the U.S.

The objective of this essay is to test utilities provided by city governments, for this a sample of 20 counties was taken then contacted each city of them counting how many of them provided utilities to their residents, finding out that 12 out of 192 cities (6.25%) provided electricity to their residents.

The study variable is:

X: Number of city governments that provide utilities (electricity) to their residents, in a sample of 192.

The population of the study is the city governments in the U.S.

And the parameter of interest is the population proportion of city governments in the U.S. that provide electricity to their residents.

I hope it helps!

4 0
2 years ago
Giving brainliest and alot of points! A projectile is launched at an angle (θ) of 36° and travels a distance of 375 feet; gravit
abruzzese [7]

Answer:

(c) 112 ft/sec

Step-by-step explanation:

4 = 112.33 ft/sec = 112 ft/sec

6 0
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