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
DiKsa [7]
3 years ago
7

Select ALL the correct answers.

Biology
1 answer:
tekilochka [14]3 years ago
8 0

Answer:

(b) The interquartile range of B is greater than the interquartile range of A.

(d) The median of A is the same as the median of B.

Explanation:

Given

A = \{1, 4, 2, 2, 3, 1, 1, 2, 1\}

10th\ run = 9

So:

B = \{1, 4, 2, 2, 3, 1, 1, 2, 1,9\}

Required

Select all true statements

(a) & (d) Median Comparisons

A = \{1, 4, 2, 2, 3, 1, 1, 2, 1\}                         B = \{1, 4, 2, 2, 3, 1, 1, 2, 1,9\}

n = 9                                                         n = 10

Arrange the data:

A = \{1, 1, 1, 1, 2, 2,  2,3, 4\}               B = \{1,1,1,1,2,2,2,3,4,9\}

                               Median = \frac{n + 1}{2}th

Median = \frac{9 + 1}{2}th                            Median = \frac{10 + 1}{2}th

Median = \frac{10}{2}th                              Median = \frac{11}{2}th

Median = 5th                                 Median = 5.5}th --- average of 5th and 6th

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

Option (d) is correct because both have a median of: 2

(b) & (c) Interquartile Range Comparisons

A = \{1, 1, 1, 1, 2, 2,  2,3, 4\}               B = \{1,1,1,1,2,2,2,3,4,9\}

n = 9                                                         n = 10

First, calculate the lower quartile (Q1)

Q_1 = \frac{n + 1}{4}th[Odd n]             Q_1 = \frac{n}{4}th [Even n]

Q_1 = \frac{9 + 1}{4}th                            Q_1 = \frac{10}{4}th

Q_1 = \frac{10}{4}th                              Q_1 = 2.5

Q_1 = 2.5th                              

This means that:

Q_1 = 2nd + 0.5(3rd - 2nd)              Q_1 = 2nd + 0.5(3rd - 2nd)

Q_1 = 1 + 0.5(1- 1)                   Q_1 = 1+ 0.5(1 - 1)                      

Q_1 = 1                                       Q_1 = 1

Next, calculate the upper quartile (Q3)

Q_3 = \frac{3}{4}(n + 1)th [Odd n]             Q_3 = \frac{3}{4}(n)th [Even n]

Q_3 = \frac{3}{4}(9 + 1)th                            Q_3 = \frac{30}{4}th

Q_3 = \frac{30}{4}th                                     Q_3 = 7.5th  

Q_3 = 7.5th                                    

This means that:

Q_3 = 7th + 0.5(8th- 7th)           Q_3 = 7th + 0.5(8th- 7th)

Q_3 = 2 + 0.5(3- 2)                       Q_3 = 2+ 0.5(4 - 2)                      

Q_3 = 2.5                                       Q_3 = 3

The interquartile range is  IQR = Q_3 - Q_1

So, we have:

IQR = 2.5 - 1                  IQR = 3 - 1

IQR = 1.5                       IQR  =2

(b) is true because B has a greater IQR than A

(e) This is false because some spread measures (which include quartiles and the interquartile range) changed when the 10th data is included.

The upper quartile and the interquartile range of A and B are not equal

You might be interested in
Which statement best describes the relationship between an allele and a gene?
lys-0071 [83]
A.) An allele is a version of a gene that can be expressed as a phenotype.
6 0
3 years ago
A genus is a taxonomic contains serveral
sammy [17]
Thats me also pay attention in school

6 0
3 years ago
Permafrost, or permanently frozen subsoil, characterizes _____.
Evgen [1.6K]
<span>Permafrost, or permanently frozen subsoil, characterizes Tundra</span>
4 0
3 years ago
Cells must regulate their metabolic pathways so that they do not waste resources. What is the most common mechanism that regulat
insens350 [35]

Answer:

Feed back inhibition of glycolysis

Explanation:

Cell needs to regulate their metabolic pathways and reaction so that resources they have do not get waste and only than much product is formed which is required to be used.

Cellular respiration is most commonly regulated by the feedback inhibition of glycolysis. The most important regulatory step in the feedback inhibition of glycolysis is the phosphofructokinase reaction. This reaction is inhibited by ATP. ATP lower the affinity of enzyme for fructose-6- phosphate and inhibit the reaction thereby regulate cellular respiration.

3 0
2 years ago
Creators who "level" communicate purposefully, honestly, and responsibly.
vredina [299]
<span>This is incredibly true. The top way to level up, or receive a promotion, is to have proper communication. The three most important things to keep in mind to have effective communication so you may move forward is to be purposeful, be responsible in what and how you communicate, and to always be honest and up front.</span>
7 0
3 years ago
Other questions:
  • Does fungi have cell walls
    6·1 answer
  • The presence of what group differentiates most amino acids from each other?
    6·1 answer
  • What is connective tissue?
    7·1 answer
  • During transcription from DNA to RNA which base occurs only in RNA
    15·2 answers
  • A woman is 20 weeks pregnant. the nurse would expect to palpate the fundus at which location?
    14·2 answers
  • What is the largest organ in your immune system? *
    15·1 answer
  • Which is the pair of the enzyme activities most significantly affected by glucagon- and insulin-dependent phosphorylation and de
    14·1 answer
  • Choose all the answers that apply.
    9·1 answer
  • Henry went on a field trip to a national park. He not only observed the aquatic life in the pond, but also the trees, vegetation
    9·1 answer
  • In a particular case of secondary succession, three species of wild grass all invaded a field. By the second season, a single sp
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!