BRAINLIEST IF CORRECT I NEED HELP FOR BETTER GRADES 65 POINTS

Select ALL the correct answers.

tekilochka [14]

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

8 0

3 years ago

Why does the exploratorium dissect cow eyes?

Ostrovityanka [42]

Answer:At the Exploratorium, we dissect cows' eyes to show people how an eye works. ... A tough, clear covering over the iris and the pupil that helps protect the eye. Light bends as it passes through the cornea. This is the first step in making an image on the retina.

Explanation:

8 0

3 years ago

Blood is a mixture of a variety of materials. Some of the materials are dissolved in the fluid portion of blood. Other materials

FinnZ [79.3K]

<h2>Answer:</h2>

Blood Is A Heterogeneous mixture.

<h2>Explanation:</h2>

Heterogeneous mixture is a mixture that is made up of different substance that remains physically separated which means the cell organelles (Red blood cells, white blood cells, platelets etc.)present in blood does not mix completely and hence get precipitated after kept still for a while.

There are three ways to identify a Heterogeneous mixture.

It has chunks of stuff that you are able to see with your eyes.
It appears cloudy(blur).
After a while, the substance will separate into layers at settle at the bottom(gets precipitated).

Result: Blood is a Heterogeneous mixture

3 0

3 years ago

Read 2 more answers

What is the mass of all the worker bees in the hive together? Write your answer in scientific notation.

Lisa [10]

Answer:

4 × 10^0 kg or 4×E0 kg.

Explanation:

Before delving into or solving the Calculation, let us check one or two things about worker bees.

WHAT IS A WORKER BEE?.

Bees generally are social insects living in an organized community and they consist of three castes which include; the drone bees, worker bees, and the queen bees.

The queen bees are the female bees while the drone bees are the male bees.

The WORKER BEES are female bees too, but the only difference between them and the queen bees is that they (worker bees) do not reproduce like the queen bees. They are saddled with the responsibility of looking for food and maintaining the hive temperature.

Now to the question, the mass of a bee= 1 × 10^-4 kg. And there are 4 × 10^4 bees in hive. Therefore, the mass of all the worker bees in the hive together = (1 × 10^-4) × (4×10^4).

==> 4 × 10^0 kg, or 4E0 kg.

8 0

3 years ago

What are the names of four polysaccharides and what is required for their formation?

dem82 [27]

The four polysaccharides are glycogen, starch, cellulose, and chitlin. You consume them. They are sometimes artificially made or produced by your body.

7 0

3 years ago