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
crimeas [40]
3 years ago
11

Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 40,33,37,54,41,34,27,39,35 Item 4 F

ind the median, first quartile, third quartile, and interquartile range of the data. 40,33,37,54,41,34,27,39,35
Mathematics
1 answer:
Pie3 years ago
7 0

Answer:

Median =37

First quartile = 33.5

Third quartile=40.5

Interquartile=7

Step-by-step explanation:

Given data

40,33,37,54,41,34,27,39,35

First we have to rearrange the data in either ascending order or descending order.

We can rewrite the data as

27,33,34,35,37,39,40,41,54

Median:

The middle term of the data is the median of the data.

The number of data = n

If n is odd, the median of the data= (\frac{ n+1}2)^{th term

If n is even, the median of the data \frac{(\frac {n}{2})^{th} +{(\frac {n}{2}+1)^{th}}}{2}

Here n= 9

The median of the data= (\frac{9+1}{2})^{th} term

                                       =(\frac{10}{2})^{th} term

                                        =5^{th} term

                                       =37

First quartile:

The median term of the lower half of the data.

Lower half = 27,33,34,35

The median of the lower half = \frac{(\frac 42)^{th} term+(\frac 42+1)^{th}term}{2}

                                               = \frac{(2)^{nd} term+(3)^{rd}term}{2}

                                              = \frac{33+34}2

                                               =33.5

The first quartile= 33.5

Third  quartile:

The median term of the upper half of the data.

Upper half 39,40,41,54

The median of the lower half = \frac{(\frac 42)^{th} term+(\frac 42+1)^{th}term}{2}

                                                = \frac{(2)^{nd} term+(3)^{rd}term}{2}

                                                = \frac{40+41}2

                                                 =40.5

Interquartile:

The difference between first quartile and third quartile.

Interquartile = 40.5-33.5

                       =7

You might be interested in
Log2x (2x^2+8x-6) =2
irinina [24]

Answer:

2x^3+8x^2-3x=0

Step-by-step explanation:

2x (2x^2+8x-6)=2\\multiply-all-in-bracets-by-2x\\4x^3+16x^2-6x=2\\devide-all-by-2\\2x^3+8x^2-3x=0

5 0
3 years ago
Solve for b, i already solved for A <br> will give brainliest
larisa86 [58]

Answer:

b=23 degrees

Step-by-step explanation:

a was 66 degrees so b=23 degrees   180-90-66=23

6 0
3 years ago
How do I solve this?
Oliga [24]
×=4 since you divide 3 and 12 by 3
So it would be 13-16 (4×4)
Your answer is -3
4 0
3 years ago
How do i solve this: 5m (7-10n)=3p for n
ivanzaharov [21]
Step 1: Factor out variable m.<span><span>m<span>(<span><span>−<span>50n</span></span>+35</span>)</span></span>=<span>3p</span></span>Step 2: Divide both sides by -50n+35.<span><span><span>m<span>(<span><span>−<span>50n</span></span>+35</span>)</span></span><span><span>−<span>50n</span></span>+35</span></span>=<span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span><span>m=<span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span>Answer:<span>m=<span><span><span>3p</span><span><span>−<span>50n</span></span>+35</span></span></span></span>
3 0
3 years ago
a shop has a sale and reduces all the prices by 15k in naira.find the sale price of an article of an article marked at 750naira​
Andrej [43]

Answer:

Question (i):

Reduce = 15% of Rs 40 = 0.15 x 40 = Rs 6

Price after reduced = Rs 40 - Rs 6 = Rs 36

Answer: Rs 36

-

Question (ii):

Reduce = 15% x 20.40 = 0.15 x 20.40 = Rs 3.60

Price after reduced = Rs 20.40 - Rs 3.60 = Rs 17.34

Answer: Rs 17.34

-

3 0
3 years ago
Other questions:
  • lewis who is a long distance runner , runs at an average speed of 6miles per hour. three hours after lewis leaves your house , y
    6·1 answer
  • Find the unit rate. round to the nearest hundred if necessary
    10·1 answer
  • HELP! Due in 10 mins! Pls I rlly need this!!!
    6·1 answer
  • I need some help with math
    14·1 answer
  • Three consecutive even numbers add up to a number between 100 and 120 what might the number be?
    6·1 answer
  • Please help with an explanation!! will mark brainliest, not the best at fractions haha
    11·1 answer
  • The answer to an addition problem is called a ___.\
    6·1 answer
  • Multiply or divide as indicated <br><br> (3x)^12/(3x)^4
    12·1 answer
  • The Table below shows the number of hours ten students spent studying for a test and their svores​
    9·1 answer
  • X + y = 92 and y = 3x - 4
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!