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
vekshin1
3 years ago
15

The following table shows scores obtained in an examination by B.Ed JHS Specialism students. Use the information to answer the q

uestions that follow: Score 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 60-64 65-69 Frequency 10 4 10 20 30 15 3 2 1 5.a. Construct a cumulative frequency curve for the data. b. Find the; i. inter-quartile range. ii. 70th percentile class scores. iii. probability that a student scored at most 50 on the examination
Please is urgent .can I get help

Mathematics
1 answer:
Makovka662 [10]3 years ago
5 0

Answer:

(a) The cumulative frequency curve for the data is attached below.

(b) (i) The inter-quartile range is 10.08.

(b) (ii) The 70th percentile class scores is 0.

(b) (iii) the probability that a student scored at most 50 on the examination is 0.89.

Step-by-step explanation:

(a)

To make a cumulative frequency curve for the data first convert the class interval into continuous.

The cumulative frequencies are computed by summing the previous frequencies.

The cumulative frequency curve for the data is attached below.

(b)

(i)

The inter-quartile range is the difference between the third and the first quartile.

Compute the values of Q₁ and Q₃ as follows:

Q₁ is at the position:

\frac{\sum f}{4}=\frac{100}{4}=25

The class interval is: 34.5 - 39.5.

The formula of first quartile is:

Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h

Here,

l = lower limit of the class consisting value 25 = 34.5

(CF)_{p} = cumulative frequency of the previous class = 24

f = frequency of the class interval = 20

h = width = 39.5 - 34.5 = 5

Then the value of first quartile is:

Q_{1}=l+[\frac{(\sum f/4)-(CF)_{p}}{f}]\times h

     =34.5+[\frac{25-24}{20}]\times5\\\\=34.5+0.25\\=34.75

The value of first quartile is 34.75.

Q₃ is at the position:

\frac{3\sum f}{4}=\frac{3\times100}{4}=75

The class interval is: 44.5 - 49.5.

The formula of third quartile is:

Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h

Here,

l = lower limit of the class consisting value 75 = 44.5

(CF)_{p} = cumulative frequency of the previous class = 74

f = frequency of the class interval = 15

h = width = 49.5 - 44.5 = 5

Then the value of third quartile is:

Q_{3}=l+[\frac{(3\sum f/4)-(CF)_{p}}{f}]\times h

     =44.5+[\frac{75-74}{15}]\times5\\\\=44.5+0.33\\=44.83

The value of third quartile is 44.83.

Then the inter-quartile range is:

IQR = Q_{3}-Q_{1}

        =44.83-34.75\\=10.08

Thus, the inter-quartile range is 10.08.

(ii)

The maximum upper limit of the class intervals is 69.5.

That is the maximum percentile class score is 69.5th percentile.

So, the 70th percentile class scores is 0.

(iii)

Compute the probability that a student scored at most 50 on the examination as follows:

P(\text{Score At most 50})=\frac{\text{Favorable number of cases}}{\text{Total number of cases}}

                                 =\frac{10+4+10+20+30+15}{100}\\\\=\frac{89}{100}\\\\=0.89

Thus, the probability that a student scored at most 50 on the examination is 0.89.

You might be interested in
The point slope of a line that has a slope of -2 and passes through point (5,-2) is shown below. Which equation is in slope inte
kramer
Y + 2 = -2(x - 5)

Simplify.

y + 2 = -2x + 10

Subtract 2 from both sides.

y = -2x + 10 - 2

Simplify.

y = -2x + 8 → Slope-intercept form

Our answer is the second option : y=-2x+8

~Hope I helped!~
 

7 0
3 years ago
Read 2 more answers
Help pls its too hard
damaskus [11]

Answer:

3/4 cups of coconut oil.

Step-by-step explanation:

1/3 * 3 = 3/3 = 1

1/4 * 3 = 3/4

So it would be

3/4

4 0
2 years ago
You are in $33 in eight hours at that rate how much would you earn in five hours
svp [43]

Answer:

20.625 dollars or about 20.63 dollars

Step-by-step explanation:

33/8 = 4.125

4.125 times 5 = 20.625

4 0
3 years ago
Hope you all have a great day!
ArbitrLikvidat [17]

u tooooooo!!

ʕ•ᴥ•ʔ

ʕ⁀㉨⁀ʔ

(๏㉨๏)

ʕ≧ᴥ≦ʔ

4 0
3 years ago
Help ASAP
CaHeK987 [17]
About 3.7 inches. Look at the 12 on the x axis because that is one year and see where it hits the line
6 0
2 years ago
Other questions:
  • Need math help please!!
    8·2 answers
  • Please help me I really need help I’m gonna give 33 points for this please help
    7·2 answers
  • 24 students have turned in their permission slips so far. This is 80% in the class. How many students are in the class.
    9·1 answer
  • Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled for the flowers to last
    9·1 answer
  • Solve the inequality.
    13·1 answer
  • Find the area of the regular figure
    15·1 answer
  • If four out of ten people vote, then in a town with two hundred thousand people, how many will not vote?
    11·1 answer
  • You find an object made of pure metal. What could you do to identify what type of metal the object is made of?How do you find de
    14·1 answer
  • The value of all of the quarters and dimes in a parking meter is $6. There are twice as many quarters as dimes. What is the tota
    7·1 answer
  • The town of La Belle wants to build a soccer
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!