All categories

3 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]3 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]3 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

M is the midpoint of RS and R has coordinates (2,5 M has coordinates (6,9) find the coordinates of S

zhuklara [117]

Answer:

what are the answer choices

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The speedy fast ski resort has started to keep track of number of skiers and snowboarders who bought season passes. The ratio of

pogonyaev

1250 skiers bought season passes

2500 snowboarders bought season passes

5 0

4 years ago

What is 10% of 80 anwser soon

Elena-2011 [213]

The correct answer is 8
10% of 80 is 8

Hope this helped :)

5 0

3 years ago

Read 2 more answers

The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of m

UkoKoshka [18]

Answer:

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

Step-by-step explanation:

Assuming this question: The delivery times for all food orders at a fast-food restaurant during the lunch hour are normally distributed with a mean of 14.7 minutes and a standard deviation of 3.7 minutes. Let R be the mean delivery time for a random sample of 40 orders at this restaurant. Calculate the mean and standard deviation of $\bar X$ Round your answers to two decimal places.

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the delivery times of a population, and for this case we know the distribution for X is given by:

$X \sim N(14.7,3.7)$

Where $\mu=14.7$ and $\sigma=3.7$

Since the distribution of X is normal then we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And we have;

$\mu_{\bar X}= 14.70$

$\sigma_{\bar X} =\frac{3.7}{\sqrt{40}}= 0.59$

4 0

3 years ago

If f (x) = x² - 7, evaluate the following: f(12) f(-7)

Julli [10]

Answer: f(12) = 137, f(-7) = 42

Step-by-step explanation: In a function, what you want to do is plug in the value they give you for x. This means you substitute x with the value they are looking for.

In this case, they are looking at 12 and -7. Let's do 12 first.

The equation becomes (12^2) - 7. 12^2 is 144, and 144-7 is 137.

Now we do -7. The equation becomes (-7)^2 - 7. -7^2 is 49, and 49 - 7 is 42.

Hope this helped!

7 0

2 years ago