1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ELEN [110]
3 years ago
15

The frequency distributions of two data sets are shown in the dot plots below.

Mathematics
2 answers:
maria [59]3 years ago
5 0

Based on the options given, the most likely answer to this query are

1) The mean of data set 1 is greater than the mean of data set 2.2) The median of data set 1 is equal to the median of data set 2.3) The data sets have the same interquartile range.

Thank you for your question. Please don't hesitate to ask in Brainly your queries. 
fredd [130]3 years ago
3 0

Answer:

1st, 4th and 6th statements are true.

Step-by-step explanation:

We have been given two dot-plots and we are asked to select all the true statements about given dot plots.

Let us write all the data points of both dot plots.

Data set 1:  

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 7.

Data set 2:  

1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4.

1. The mean of data set 1 is greater than the mean of data set 2.

Let us find mean of both data sets.

\text{Mean of data set 1}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4+7}{19}

\text{Mean of data set 1}=\frac{45}{19}

\text{Mean of data set 1}=2.3684\approx 2.37  

\text{Mean of data set 2}=\frac{1+1+1+1+1+2+2+2+2+2+2+2+2+3+3+3+4+4}{18}

\text{Mean of data set 2}=\frac{38}{18}

\text{Mean of data set 2}=2.11

We can see that mean of data set 1 is greater than mean of data set 2, therefore, 1st statement is true.

2. The mean of data set 1 is equal to the mean of data set 2.

Since mean of data set 1 is greater than mean of data set 2, therefore, 2nd statement is false.

3. The median of data set 1 is greater than the median of data set 2.

Since data set 1 has 19 data points, so median of data set 1 will be value of 10th data set, that is 2.

Our data set 2 has 18 data points, so median of data set 2 will be the average of 9th and 10th data points.

\text{Median of data set 2}=\frac{2+2}{2}

\text{Median of data set 2}=\frac{4}{2}=2

Since median of data set 2 is also 2, therefore, 3rd statement is not true.

4. The median of data set 1 is equal to the median of data set 2.

Since both data set's median is 2, therefore, 4th statement is true.

5. The standard deviation of data set 1 is smaller than the standard deviation of data set 2.

Using online SD calculator we get SD of data set 1 is 1.422 and SD of data set 2 is 0.936. Since 1.422 is greater than 0.936, therefore, 5th statement is false.

6. The data sets have the same interquartile range.


Q_1\text{ of data set 1}=1

Q_3\text{ of data set 1}=3

\text{IQR of data set 1}=3-1=2

Q_1\text{ of data set 2}=1

Q_3\text{ of data set 2}=3

\text{IQR of data set 2}=3-1=2

Since both data set's IQR is 2, therefore, 6th statement is true.

You might be interested in
What is 8.3 times 1 plz
alekssr [168]
8.3 : anything multiplied by one is itself
4 0
3 years ago
Read 2 more answers
Jeremy is reading a 60-page book. He read the first 20 pages in 30 minutes. If Jeremy continues to read a the same rate, how lon
Alex73 [517]

It will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

<h3>What is Ratio and Proportion ?</h3>

When two numbers can be written as p/q is called a Ratio , and when two ratios are equal they are said to be in proportion .

It is given that

Jeremy is reading a 60-page book.

The time taken to read  20 pages is 30 minutes

Then it can be written as 20:30 = 2:3

The rate of reading is same so To read the rest 40 pages is given by

40:x

40: x = 2:3

40*3/2 = x

x = 60 minutes

Therefore it will take total 90 minutes to finish the book and 60 minutes to read the left 40 pages.

To know more about Ratio and Proportion

brainly.com/question/26974513

#SPJ1

8 0
2 years ago
Kiesha and her classmates wrote proportions for the reduction of a triangle. A larger and smaller triangle have corresponding he
MrMuchimi

Answer:

the 2nd one

Step-by-step explanation:

mecause its new=original

6 0
3 years ago
Read 2 more answers
7 times what equals 17?
Shalnov [3]

Answer:

119

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP NO LINKS
insens350 [35]

<u><em>function </em></u>: p(x) = 65 + 25(x)

for 3 sells

  • p(3) = 65 + 25(3)
  • p(3) = 140

for 10 sells

  • p(10) = 65 + 25(10)
  • p(10) = 315

So,

140 ≤ p(x) ≤ 315

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of x in the diagram? A. 100 B. 60 C. 50 D. 120
    14·2 answers
  • An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male fireflies are una
    9·1 answer
  • Which of the following are solutions to the inequality below? select all that apply
    8·1 answer
  • Plz help and thank you!
    6·1 answer
  • PLEASE HELP<br><br> How far is x from 5 on a number line?
    11·1 answer
  • Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of f(x)=x^2+2 for 0≤x≤5 about x
    14·1 answer
  • What can you tell about a triangle when given three side lengths?
    10·1 answer
  • I honestly just need help and nones helping 6th grade work
    9·1 answer
  • 18m = 36<br><br> Please help me with this for brainliest HURRYYYY
    13·1 answer
  • Which choice includes all of the solutions to 2x2 + x – 3 = 0 by factoring
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!