202k views
2 votes
QUESTION 63 Which set of data best represents this histogram? a histogram with 4 bars, the bar labeled 0-9 has a height of 5, the bar labeled 10-19 has a height of 3, the bar labeled 20-29 has a height of 6, the bar labeled 30-39 has a height of 4

a {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
b {1, 2, 6, 8, 11, 15, 20, 24, 25, 27, 32, 35, 37}
c {1, 2, 3, 4, 6, 8, 11, 12, 13, 15, 20, 22, 24, 25, 27, 28, 29, 32, 34, 35, 37, 39}
d {1, 2, 4, 6, 8, 11, 13, 15, 20, 22, 24, 25, 27, 29, 32, 34, 35, 37}

QUESTION 65

Identify the lower quartile (Q1), the median (Q2), and the upper quartile (Q3) for this data set.
{20, 22, 22, 24, 26, 28, 29, 32, 33, 35}



a Q1 = 20, Q2 = 27, Q3 = 35


b Q1 = 22, Q2 = 18, Q3 = 33


c Q1 = 22, Q2 = 27, Q3 = 32


d Q1 = 22.5, Q2 = 26.5, Q3 = 32.5

What are the dimensions of this matrix?

2 1
0 5
3 4



A 2 × 2


B 2 × 3


C 3 × 2


D 3 × 3


QUESTION 65

Identify the lower quartile (Q1), the median (Q2), and the upper quartile (Q3) for this data set.
{20, 22, 22, 24, 26, 28, 29, 32, 33, 35}



A Q1 = 20, Q2 = 27, Q3 = 35


B Q1 = 22, Q2 = 18, Q3 = 33


C Q1 = 22, Q2 = 27, Q3 = 32


D Q1 = 22.5, Q2 = 26.5, Q3 = 32.5

1 Answer

3 votes

Question 63:

We have to identify a set of data best which represents a histogram with 4 bars, the bar labeled 0-9 has a height of 5, the bar labeled 10-19 has a height of 3, the bar labeled 20-29 has a height of 6, the bar labeled 30-39 has a height of 4.

Let us observe the four data sets:

1. In the first data set, there are 9 values in the interval 0 to 9 instead of 5 values. This set does'not represents the given histogram.

2. In the second data set, there are 4 values in the interval 20 to 29 instead of 6 values. This set does'not represents the given histogram.

3. In the third data set, there are 6 values in the interval 0 to 9 instead of 5 values. This set does'not represents the given histogram.

4. In the fourth data set, there are 5 values in the interval 0 to 9, 3 values in the interval 10 to 19, 6 values in the interval 20 to 29, 4 values in the interval 30 to 39. Therefore, this data represents the given histogram.

Option 4 is the correct answer.

Question 64:

We have to find the lower quartile (Q1), median (Q2) and upper quartile (Q3).

{20, 22, 22, 24, 26, 28, 29, 32, 33, 35}

Firstly, we will arrange the numbers in ascending order.

{20,22,22,24,26,28,29,32,33,35}

Since there are total 10 terms. There are even terms.

So, median = Mean of (
(n)/(2)) and (
(n)/(2))+1 th observation

As,
(n)/(2)=(10)/(2)=5

So, Median =mean of 5th and 6th observation.

Mean = sum of all the observations divided by the total number of observations.

Mean =
(26+28)/(2)

Median = 27.

SO, the median (Q2) is 27.

Now to calculate Q1(Iower quartile),

Consider the data set {20,22,22,24,26}

Q1 is calculated by taking the middle term of first half data set, which is 22.

Now to calculate Q2(upper quartile),

Consider the data set {28,29,32,33,35}

Q3 is calculated by taking the middle term of second half data set, which is 32.

Question:

Consider the given matrix:


\left[\begin{array}{ccc}2&1\\0&5\\3&4\end{array}\right]

We need to find the dimension of the matrix.

A matrix "
m * n" mean it is a matrix with 'm' rows and 'n' columns.

Since, in this matrix there are 3 rows and 2 columns.

So, the dimension of the matrix is
3 * 2.

So, option C is the correct answer.

User Ldam
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories