Quartiles & Percentiles

Q. Find the first and third quartiles for the following data.

12, 5, 7, 3, 1, 13, 17, 5, 19, 13, 1

1. $Q_1=3,Q_3=13$
2. $Q_1=9,Q_3=3$
3. $Q_1=3,Q_3=9$
4. $Q_1=13,Q_3=3$

Q.

Which of the following is same as the median?

1. 2nd Quartile

2. 4th Quartile

3. 25th percentile

4. 50th percentile

Q.

Find the third quartile for the following data.

$\begin{array}{cc}\text{Observation}& \text{Frequency}\\ 3& 6\\ 8& 1\\ 12& 1\\ 19& 4\\ 22& 8\\ 29& 6\\ 31& 3\\ 42& 5\end{array}$

1. 21.5

2. 29.5

3. 23.75

4. 28.25

Q. The range of the following data is equal to .

1. 25
2. 34
3. 44
4. 43

Q. Find the 60th percentile for the below data.

52, 55, 58, 61, 62, 63, 64, 72, 74, 76, 77, 80

1. 64
2. 68
3. 72
4. 70.4

Q. Which of the following is equal to the 75th percentile?

1. Median
2. 3rd Quartile
3. 1st quartile
4. Mean

Q.

What does the first quartile mean?

Q. 2nd quartile and are the same as the median.

1. 4th quartile
2. 25th percentile
3. 50th percentile

Q.

Find the first quartile for the following data.

$\begin{array}{cc}Observation& Frequency\\ 12& 7\\ 15& 6\\ 18& 13\\ 32& 5\\ 33& 11\\ 45& 14\\ 48& 4\\ 53& 10\end{array}$

1. 17

2. 32

3. 15

4. 18

Q. and are the first and third quartiles for the following data.
12, 5, 7, 3, 1, 13, 17, 5, 19, 13, 1

1. Q1=3
2. Q3=9
3. Q3=13
4. Q1=13

Q.

The average ambient temperatures (in degree Celsius) for a region for 15 years from 2001-2015 is given below.

26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5

Find the temperature corresponding to the 80th percentile.

1. 27.8

2. 29.6

3. 28.8

4. 30.4

Q.

Find the range of the following data

$\begin{array}{ccccc}9& 26& 29& -10& 6\\ 22& 7& 34& 24& 1\\ 23& 13& 30& 2& 34\\ 13& -9& 5& -6& -4\end{array}$

1. 25

2. 34

3. 43

4. 44

Q.

The average ambient temperatures (in degree Celsius) for a region for 15 years from 2001-2015 is given below.

26.3, 29.7, 31, 29.8, 26.8, 27.6, 27.4, 27.0, 27.6, 27.8, 30.0, 32.0, 28.9, 30.5, 29.5

Find the temperature corresponding to the 1st quartile.

1. 26.8

2. 28.2

3. 30.5

4. 27.4

Q.

variance of first 50 even natural numbers?

Q. Find the range of the following data

$$\begin{array}{ccccc}9& 26& 29& -10& 6\\ 22& 7& 34& 24& 1\\ 23& 13& 30& 2& 34\\ 13& -9& 5& -6& -4\end{array}$$

1. 44
2. 25
3. 34
4. 43