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Natalka [10]
3 years ago
6

The sample shows how many items 7 people checked out from a library (2,3,13,2,3,6,2) make a dot plot to show data. What is the r

ange? What is the median?
Mathematics
2 answers:
Contact [7]3 years ago
8 0

<em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em>

<em>Hey</em><em>!</em><em>!</em><em>!</em>

<em>Solu</em><em>tion</em><em>,</em>

<em>1.</em><em> </em><em> </em><em>Arranging</em><em> </em><em>the</em><em> </em><em>data</em><em> </em><em>in</em><em> </em><em>ascending</em><em> </em><em>order</em><em>:</em>

<em>2</em><em>,</em><em>2</em><em>,</em><em>2</em><em>,</em><em>3</em><em>,</em><em>3</em><em>,</em><em>6</em><em>,</em><em>1</em><em>3</em>

<em>N</em><em>(</em><em>total</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>items</em><em>)</em><em>=</em><em>7</em>

<em>Now</em><em>,</em>

<em>Median</em><em>=</em><em>(</em><em>N</em><em>+</em><em>1</em><em>/</em><em>2</em><em>)</em><em>th</em><em> </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>(</em><em>7</em><em>+</em><em>1</em><em>/</em><em>2</em><em>)</em><em>th</em><em> </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>(</em><em>8</em><em>/</em><em>2</em><em>)</em><em>th</em><em> </em><em>item</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>4</em><em>t</em><em>h</em><em> </em><em>item</em><em>.</em>

<em>Median</em><em> </em><em>=</em><em> </em><em>3</em>

<em>2</em><em>.</em><em> </em><em>Solution</em><em>,</em>

<em>Highest</em><em> </em><em>score</em><em>=</em><em>1</em><em>3</em>

<em>Lowest</em><em> </em><em>score</em><em>=</em><em>2</em>

<em>Range</em><em>=</em><em>highest</em><em> </em><em>score-lowest</em><em> </em><em>score</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>3</em><em>-</em><em>2</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>1</em><em>1</em>

<h3><em>So</em><em>,</em><em> </em><em>Median</em><em>=</em><em>3</em></h3><h3><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Range</em><em>=</em><em>1</em><em>1</em></h3>

<em>Hope </em><em>it</em><em> </em><em>helps</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

<em>Stay</em><em> </em><em>safe</em><em>.</em><em>.</em><em>.</em><em>.</em>

<em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em><em>_</em>

Alona [7]3 years ago
4 0

Answer:

median = total observation\ no of observation

median=2+3+2+3+2+6+13\7

median=19.857

Step-by-step explanation:

PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME PLEASE

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Sarah needs to cover a triangle that has a base of 3¼ inches and a height of 5½ inches. What is the area that Sarah needs to cov
eimsori [14]

Answer:

8 and 15/16  or 143/16

Step-by-step explanation:

3.25 * 5.5 = 17.875/2

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Step-by-step explanation:

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4 0
2 years ago
A classic rock radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you
tia_tia [17]

Answer:

a) 47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

b) Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

Step-by-step explanation:

Previous concepts  

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

We have the following data: 44 49 45 51 49 53 49 44 47 50 46 48

And we can calculate the sample mean and deviation with the following formulas:

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

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

And replacing we got:

\bar X= 47.917, s= 2.811

\mu population mean (variable of interest)  

n=12 represent the sample size  

Part a: Calculate the confidence interval

The confidence interval for the mean is given by the following formula:  

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)  

The degrees of freedom are given:

df= n-1= 12-1=11

Since the Confidence is 0.90 or 90%, the value of \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,11)".And we see that t_{\alpha/2}=1.796

Now we have everything in order to replace into formula (1):

47.917-1.796\frac{2.811}{\sqrt{12}}=46.460    

47.917+1.796\frac{2.811}{\sqrt{12}}=49.374    

Part b

For this case the system of hypothesis are:

Null hypothesis: \mu =50

Alternative hypothesis: \mu \neq 50

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

6 0
3 years ago
Tina rides the bus to school, Theo bikes to school, and Tony walks to school. Their probabilities of being the first one to scho
Pie

Answer:

Tina is first

Tony is first

Theo is first

Step-by-step explanation:

Events with greater probability are more likely.

Let's put the probabilities in decimal form.

P(Tina is first) = 0.05

P(Theo is first) = %85 = 0.85

P(Tony is first) = 1/10 = 0.1

0.05 < 0.1 < 0.85

The events are listed below from least to most likely.

Tina is first, Tony is first, Theo is first

hope it helps

8 0
3 years ago
Read 2 more answers
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