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
Vesna [10]
3 years ago
6

Suppose a biologist studying the mechanical limitations of growth among different species of tulips monitors a national preserve

. He collects data on the heights of 10 different types of tulips in the reserve and rounds each height to the nearest centimeter.
25,21,26,24,29,33,29,25,19,24

Compute the first quartile (Q1), the third quartile (Q3), and the interquartile range (IQR) of the data set.
Mathematics
1 answer:
Fudgin [204]3 years ago
6 0

Answer:

Q_1 = 24

Q_3 = 29

IQR= Q_3 -Q_1 = 29-24 =5

Step-by-step explanation:

For this case we have the following dataset:

25,21,26,24,29,33,29,25,19,24

The first step is order the data on increasing order and we got:

19, 21, 24, 24, 25, 25, 26, 29, 29 , 33

For this case we have n=10 an even number of data values.

We can find the median on this case is the average between the 5 and 6 position from the data ordered:

Median = \frac{25+25}{2}=25

In order to find the first quartile we know that the lower half of the data is: {19, 21, 24, 24, 25}, and if we find the middle point for this interval we got 24 so this value would be the first quartile Q_1 = 24

For the upper half of the data we have {25,26,29,29,33} and the middle value for this case is 29 and that represent the third quartile Q_3 = 29

And finally since we have the quartiles we can find the interquartile rang with the following formula:

IQR= Q_3 -Q_1 = 29-24 =5

You might be interested in
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please
inysia [295]

Answer:

your answer is 5 dollars per hour

Step-by-step explanation:

35/7 = 5

4 0
3 years ago
Read 2 more answers
What is the similarity ratio of PQR to VXM?
Nastasia [14]

Answer:

3

Step-by-step explanation:

The correct answer is:

3

Explanation

review

△WXY~△GEF.

6

3

6

Y

X

W

2

1

2

F

E

G

What is the similarity ratio of △WXY to △GEF?

Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

If two triangles are similar, their similarity ratio is the ratio between a side length in the first triangle and the corresponding side length in the second triangle.

solve

Look at the triangles.

6

3

6

Y

X

W

2

1

2

F

E

G

The similarity ratio of △WXY to △GEF is the ratio between a side length in △WXY and the corresponding side length in △GEF. So, the similarity ratio is  

WX

EG

=

3

1

=3.

4 0
2 years ago
The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit
Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{160 - 159}{1.68}

Z = 0.6

Z = 0.6 has a pvalue of 0.7257

X = 150

Z = \frac{X - \mu}{s}

Z = \frac{158 - 159}{1.68}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0
3 years ago
Round 2,253 to hundred
Advocard [28]

Answer:

2300

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH BOTH MATH QUESTIONS ASAP!!!!!!!!!
maxonik [38]

Answer:

the one on top=   c=  -12

the bottom one=  f=   -15

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • Write an expression for the length 7mm and it’s width 62mm for the rectangle
    8·1 answer
  • The temperature at a state park for one day in June can be approximated by the function T(x) = 0.264x2 - 4.752x + 81 0 ≤ x ≤ 18
    9·2 answers
  • Which statement correctly describe the data shown in the scatter plot?
    6·2 answers
  • What is the decimal for -2 and 4/5ths
    13·1 answer
  • If m∠2=39 and m∠3=30, what is m∠1?
    13·1 answer
  • The girls in Karen’s family own a total of 46 T-shirts. The oldest, Heidi, has 18 T-shirts. Karen has six times as many T-shirts
    11·2 answers
  • Supplementary angles are those whose measurements add up to 90 degrees <br> True or False
    14·2 answers
  • A bag contains 10 red marble and 15 green marbles.if Yukon selects a marble from the bag without looking what is the probability
    13·1 answer
  • Please I need help 15 points
    14·2 answers
  • Find the magnitude of −3i<br> .
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!