All categories

2 years ago

2. A teacher asked his class of 20 students, "What is your age? Their responses are shown in the dot plot below.

Mathematics

2 answers:

Karolina [17]2 years ago

8 0

Answer:

Yes, average does represent the centre of this data.

Average = 15.9

Step-by-step explanation:

As this question is not complete and not correctly written. Let's try to find an answer for this question.

Total number of Students = 20 = n

and we are given this data:

14, 15, 17, 18, 16.

which is just five entries and total number of students are 20. 15 entries are missing in this questions. So, let's add our own values into this question.

New set of entries for 20 students.

1. 14

2. 15

3. 17

4. 18

5. 16

6. 19

7. 17

8. 16

9. 17

10. 17

11. 15

12. 20

13. 14

14. 17

15. 18

16. 19

17. 13

18. 20

19. 17

20. 16

So, let's calculate the average of these numbers.

Average = Sum of all entries/ Total number of entries.

Average = 318/20

Average = 15.9

So, the average age of all the students of class is 15.9.

Let's calculate median:

For median , data must be arranged in a order from least to greatest number. Median is a number from that data which is at half way. In case of odd numbers, it is easy to identify median because there is only one number. and in case of even numbers, median is the average of the two middle numbers. So, here we have even numbers and median is the average of two middle numbers = 17 + 17/2 = 17

Median = 17

Yes, average does represent the centre of this data.

olganol [36]2 years ago

5 0

Answer:

a) Mean = 16.09

Median = 16

Mode is highest frequency = 16

Range = highest number - lowest number

Range = 19 - 14 = 5

b) median

Step-by-step explanation:

The mean = [(4×14) + (5×15) + (6×16) + (3×17) + (4×19)] ÷ 22

Mean = (56+75+96+51+76)/22

Mean = 354/22

Mean = 16.09

Median = 16

Mode is highest frequency = 16

Range = highest number - lowest number

Range = 19 - 14 = 5

Measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data.

The mean is most likely the measure of central tendency that is very popular with, but in this question, median best represent the center for this data because of its single value.

You might be interested in

An athlete completes a race in 55.72 seconds. How many times greater is the digit in the tens place than the digit in the ones p

MArishka [77]

As they are the same the answer is 1 times

8 0

2 years ago

In the following hypothetical scenarios, classify each of the specified numbers as a parameter or a statistic.

soldi70 [24.7K]

Answer:

Explained below.

Step-by-step explanation:

A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.

While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.

A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.

(a)

There have been 44 Presidents of the United States, and 36% of them were Democrats. The 36% here is a parameter.

(b)

In a 2015 Gallup poll of 1025 adults living in the United States, 53% said they trust the judicial branch of the federal government. The 53% here is a statistic.

(c)

The survey results from 12 local parks show the mean height of 60 ft for mature oak trees. The mean height of 60 ft is a statistic.

(d)

The 72 employees at ABC company have a mean income of $52,317 with a standard deviation of $36,829. The $36,829 is a parameter.

(e)

In a random sample of homeowners in the United States, it is found that 34% of the sampled homeowners renew their home warranty. The 34% here is a statistic.

4 0

3 years ago

Help math pls due in 5 min

Advocard [28]

The correct answer would be A- as it shows the correct median of 25.5

3 0

3 years ago

You have 2 types of bread, 3 types of meat, and 2 types of cheese. How many different sandwiches can you make if each sandwich h

Tamiku [17]

You would obviously only be able to create two sandwiches with the given information.

6 0

3 years ago

A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from

sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0

2 years ago