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

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 ([tex] \frac{n}{2} [/tex]) and ([tex] \frac{n}{2} [/tex])+1 th observation

As, [tex] \frac{n}{2}=\frac{10}{2}=5 [/tex]

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

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

Mean = [tex] \frac{26+28}{2} [/tex]

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:

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

We need to find the dimension of the matrix.

A matrix "[tex] m \times n [/tex]" 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 [tex] 3 \times 2 [/tex].

So, option C is the correct answer.