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
brilliants [131]
3 years ago
10

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

This Question is incomplete

Complete Question:

The data represents the number of runs allowed by 8 college softball pitchers. {18, 49, 38, 41, 33, 44, 42, 22}

What is the five number summary:

a) Minimum

b) Q₁

c) Median

d) Q₃

e) Maximum

Answer:

a) Minimum = 18

b) Q₁ = 27.5

c) Median = 39.5

d) Q₃ = 43

e) Maximum = 49

Step-by-step explanation:

From the above diagram, we were given the following set of data.

{18, 49, 38, 41, 33, 44, 42, 22}

Before answering any of the questions, we have to rearrange the data from the lowest to the highest (ascending order). Hence, we have:

{18, 22, 33, 38, 41, 42, 44, 49}

a) Minimum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the minimum number is the least or lowest number.

This number is 18

b) Q₁

{18, 22, 33, 38, 41, 42, 44, 49}

Q₁ means First Quartile. The formula is = ¼(n + 1)th value

n = Number of terms in the data set = 8

= ¼(8 + 1)th value

= ¼(9)th value

= 2 1/4 value

= 2.25 value

In the above Question, the 2.25 value is the value between the second and third number.

Hence:

22+33/2 = 55/2 = 27.5

Therefore, Q₁ = 27.5

c) Median

{18, 22, 33, 38, 41, 42, 44, 49}

The median of the number is the number in the middle

For this data, we have 8 number, Hence the median is the sum of the 4th and 5th term divided by 2

4th term = 38

5th term = 41

= 38 + 41/ 2 = 79/2

= 39.5

Hence, the median = 39.5

d) Q₃

{18, 22, 33, 38, 41, 42, 44, 49}

Q₃ means Third Quartile. The formula is = ¾(n + 1)th value

n = Number of terms in the data set = 8

= ¾(8 + 1)th value

= ¾(9)th value

= 6 3/4 value

= 6.75 value

In the above Question, the 6.75 value is the value between the sixth and seventh number.

Hence:

42+44/2 = 86/2 = 43

Therefore, Q₃ = 43

e) Maximum

{18, 22, 33, 38, 41, 42, 44, 49}

Looking at this set of arranged data, the Maximum number is the highest number.

This number is 49

You might be interested in
A cylindrical tree trunk is 14 yards high from the ground up to the lowest branch, and it measures 4 yards around. What is the v
Len [333]
The volume of the cylindrical figure is given by:
V=πr^2h
Given that the circumference of the figure is 4 yds, the radius will be:
C=2πr
4=2πr
hence;
r=4/(2π)
r=0.64 yds

Therefore the volume of the cylinder will be:
V=π*0.64^2*14
=17.83 cubic yards
5 0
3 years ago
Please help! 15 points!!
solmaris [256]
I'm not sure if it's right, but I think the answer is 648.
7 0
3 years ago
Read 2 more answers
In a art class, there are 32 pens to 40 brushes what is the ratio of pens to brushes written as a fraction in simplest form ?
kolezko [41]
32/40 is the fraction to 32:40 and if u simplify it, it would be 4/5
4 0
3 years ago
Find the value of x.
Artemon [7]

{5}^{2}  +  {x}^{2}  =  {8}^{2}

25 +  {x}^{2}  = 64

Subtract both sides 25

25 - 25 +  {x}^{2}  = 64 - 25

{x}^{2}  = 39

Thus :

x =  \sqrt{39}

x = 6.245

6 0
2 years ago
How many solutions does the system have?
sertanlavr [38]
If a solution(s) exists y=y so we can say:

x^2-3x=-2x+2  add 2x to both sides

x^2-x=2  subtract 2 from both sides

x^2-x-2=0  factor

(x-2)(x+1)=0

So x=-1 and 2, using y=-2x+2 we find:

y(-1)=4 and y(2)=-2

So the two solutions occur at the points:

(-1,4) and (2,-2)
4 0
3 years ago
Read 2 more answers
Other questions:
  • Abigail's car uses 3 2/3 gallons of gas every hour on a long distance trip. How many gallons does the car use in 8 1/2 hours?
    10·1 answer
  • A parallelogram has consecutive vertices A (-2,0), P (0,-2) and C (2,4). Find the fourth vertex.
    9·2 answers
  • How do you put 5/2 on a number line 
    15·2 answers
  • If a taxi goes 45 miles per hour and drives a distance of 164 miles and charges $20 for every hour driven, how much would the ta
    13·2 answers
  • The number sent this 4×7 = 4×3+4×4 is an example of what property
    8·2 answers
  • Six words have 2 vowels and 2 consonants .How many letters are there in 6 words?How many vowels consonants
    14·1 answer
  • Find the length of CE
    14·1 answer
  • A group of campers and one group leader left a campsite in a canoe. They traveled at an
    15·1 answer
  • 16. Show your work and check your answer(s).<br> √2x-1+7=4
    8·1 answer
  • In this problem you will compare the effects of different compounding periods on the interest an investment earns. Complete the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!