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3 years ago

10

Suppose both the mean and the median of a distribution are 6. which of these statements is true about the mode of the distributi

on?
A. these is not enough information to compare the mode.
B. the mode is equal to 6
C. the mode is less than 6
D. the mode is greater

1 answer:

PolarNik [594]3 years ago

8 0

A) this is not enough information to compare the mode.

For example:

{1,1,6,11,11]: mean 6, median 6, mode 1 and 11

{4,4,6,8,8} mean 6, median 6 mode, mode 4 and 8

You might be interested in

A rectangular parking lot has an area of 43,000 square feet. What is the length, x, of the parking lot if the width is 330 feet

lesantik [10]

Answer:

Length: 430

Width: 100

Step-by-step explanation:

Length : x

Width: x - 330

Area = 43000

Area = length * width

43000 = x (x - 330)

43000 = x² - 330x

x² - 330x - 43000 = 0

x² - 430x + 100x - 43000 = 0 // Doing factorization

x (x - 430) + 100 (x - 430) = 0

(x+100)(x-430) = 0

x + 100 = 0

x = -100 (Since the length can not be negative)

x - 430 = 0

x = 430(This is the length)

Width: x - 330 = 430 - 330 = 100

Proof : 430 * 100 = 43000

6 0

4 years ago

Jonathan is four times Maria's age. In 3 years, he will be three times as old as Maria is then. How old is Maria now?

Tcecarenko [31]

Answer: 6 years

Step-by-step explanation:

Let Maria's age be x

Jonathan is four times Maria's age. This means that Jonathan age = 4x

In 3 years, he will be three times as old as Maria is then. This can be written as:

4x + 3 = 3(x + 3)

4x + 3 = 3x + 9

4x - 3x = 9 - 3

x = 6

Maria is 6 years

4 0

3 years ago

The local zoo has some kangaroos and some rabbits, There are 70 feet and 26 heads in total. How many kangaroos and how many rabb

prisoha [69]

Answer:

y=17

Step-by-step explanation:

4x+2y=70

x+y=26

2x+2y=52

2x=18

x=9

y=26-9

y=17

7 0

3 years ago

Read 2 more answers

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Studentka2010 [4]

Using the z-distribution, it is found that the needed sample sizes are:

a) 242

b) 1842

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so $z = 2.575$ .

Item a:

The estimate is:

$\pi = 0.223 - 0.189 = 0.034$

The sample size is <u>n for which M = 0.03</u>, then:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 2.575\sqrt{\frac{0.034(0.966)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.034(0.966)}$

$\sqrt{n} = \frac{2.575\sqrt{0.034(0.966)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.034(0.966)}}{0.03}\right)^2$

$n = 241.97$

Rounding up, a sample of 242 is needed.

Item b:

No prior estimates, hence $\pi = 0.5$ is used.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 2.575\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 2.575\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{2.575\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{2.575\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 1841.8$

Rounding up, a sample of 1842 is needed.

For more on the z-distribution, you can check brainly.com/question/25404151

5 0

3 years ago

A boat traveled 153 miles downstream and back. The trip downstream took 9 hours. The trip back took 17 hours. What is the speed

fgiga [73]

Speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

<h3><u><em>Solution:</em></u></h3>

Let s = the speed of the boat in still water in miles/hour

Let c = the speed of the current in miles/hour

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is s miles/hr and the speed of the current is c miles/hr, then:

Speed downstream = (s + c) miles per hour

Speed upstream = (s - c) miles per hour

<em><u>Given:</u></em>

boat traveled 153 miles downstream and back

distance for downstream = 153 miles

distance for upstream = 153 miles

time taken for downstream = 9 hours

Time taken for upstream = 17 hours

<em><u>The relation between speed, distance and time is given as:</u></em>

$distance = speed \times time$

<em><u>For downstream:</u></em>

$153 = (s + c) \times 9$

$s + c = \frac{153}{9} = 17$

s + c = 17 ------- eqn 1

<em><u>For upstream:</u></em>

$153 = (s - c) \times 17\\\\s - c = \frac{153}{17} = 9$

s - c = 9 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "s" and "c"</u></em>

Add eqn 1 and eqn 2

s + c = 17

s - c = 9

(+) -------------

2s = 26

<h3>s = 13</h3>

Substitute s = 13 in eqn 1

13 + c = 17

c = 17 - 13 = 4

<h3>c = 4</h3>

Thus the speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

8 0

3 years ago