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3 years ago

What is the third quartile of the set of data shown below 26, 34, 38, 49, 65, 75, 81

Mathematics

2 answers:

GREYUIT [131]3 years ago

6 0

Population size:7

<span>Lower quartile (xL): 34

Median (xm): 49

Upper quartile (xU): 75</span>

lbvjy [14]3 years ago

6 0

Answer:

The third quartile is $Q_3=75$

Step-by-step explanation:

Given : Data 26, 34, 38, 49, 65, 75, 81

To find : What is the third quartile of the set of data?

Solution :

First arrange the data from smallest to greatest.

26, 34, 38, 49, 65, 75, 81

Then find the median of the data,

Since, the data is in odd numbers median is mid term i.e. 49.

To find the third quartile we take the upper half of data

Upper half of data set, 65, 75, 81

Third quartile is the median of the upper half of the data.

Median of upper half is

$Q_3=\frac{(n+1)^{th}}{2}$

$Q_3=\frac{(3+1)^{th}}{2}$

$Q_3=2^{th}$ term

$Q_3=75$

Therefore, The third quartile is $Q_3=75$

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Ellie want to buy new shoes that is in sale for $80. She saved $60. How much more money does she need

mel-nik [20]

Answer:

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2 years ago

Read 2 more answers

The jug can hold 1500ml. The bucket can hold 2 litres. The barrel can hold 15 litres. Anisa wants to fill the barrel with water.

myrzilka [38]

Answer:

1. Using the jug 6 times and the bucket 3 times

2. Using the bucket 6 times, then using the jug two times

Step-by-step explanation:

Firstly, let’s remember that 1000 ml = 1l

Thus 2L = 2000 ml

And 15L = 15,000 ml

So the situation we are having now is that we want to fill a barrel of 15,000 ml using a jug of 1500 ml and a bucket with a capacity of 2000 ml

Firstly, the first way is using the bucket 6 times and the jug 2 times

What i mean by this is using the bucket 6 times bringing the total volume from the bucket as (6* 2000) = 12,000 ml

Then we are left with 15,000-12,000 = 3,000 ml

Now, she can fill the barrel with 2 times the full volume of the jug making 3,000

Secondly, she can also use the combination of both.

She can use the bucket 6 times and the jug 2 times

The total volume in each case here would be;

For the bucket; (2,000 * 6) = 12,000 ml

while for the jug, we have (1500 * 2) = 3,000 ml

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3 years ago

Jafar will get $12400 more if his salary is increased by 31%. Jafar's salary is 20% less of his colleague Ali's salary. What is

Iteru [2.4K]

Answer:

Ali's salary is $50000.

Step-by-step explanation:

Let Jafar's salary be x.

(31/100)*x = 12400

x = (12400*100)/31

x = 400*100

x = $40000

Let Ali's salary be y.

y-[(20/100)*y] = 40000

y-(y/5) = 40000

(5y-y)/5 = 40000

4y = 200000

y = $50000

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3 years ago

What’s the equivalent expression

r-ruslan [8.4K]

Answer:

9 (2 a - 3)^2

Step-by-step explanation:

Simplify the following:

(6 a - 9)^2

Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.

Factor 3 out of 6 a - 9:

(3 (2 a - 3))^2

Hint: | Distribute exponents over products in (3 (2 a - 3))^2.

Multiply each exponent in 3 (2 a - 3) by 2:

3^2 (2 a - 3)^2

Hint: | Evaluate 3^2.

3^2 = 9:

Answer: 9 (2 a - 3)^2

4 0

3 years ago