## How do you find Q1 Q2 and Q3 in statistics?

There are four different formulas to find quartiles:

- Formula for Lower quartile (Q1) = N + 1 multiplied by (1) divided by (4)
- Formula for Middle quartile (Q2) = N + 1 multiplied by (2) divided by (4)
- Formula for Upper quartile (Q3) = N + 1 multiplied by (3) divided by (4)

**What does Q1 Q2 Q3 mean in statistics?**

The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. Q1 is the “middle” value in the first half of the rank-ordered data set. Q2 is the median value in the set. Q3 is the “middle” value in the second half of the rank-ordered data set.

### What is Q1 and Q3 in statistics?

Q1 is the median (the middle) of the lower half of the data, and Q3 is the median (the middle) of the upper half of the data. (3, 5, 7, 8, 9), | (11, 15, 16, 20, 21).

**How do you find upper and lower quartile?**

Quartiles and interquartile range

- the lower quartile is the median of the lower half of the data. The. ( n + 1 ) 4 value.
- the upper quartile is the median of the upper half of the data. The. 3 ( n + 1 ) 4 value.

## What is Q2 equal to?

median

What are quartiles?

Quartile | Description |
---|---|

2nd quartile (Q2) | The median. 50% of the data are less than or equal to this value. |

3rd quartile (Q3) | 75% of the data are less than or equal to this value. |

Interquartile range | The distance between the 1st and 3rd quartiles (Q3-Q1); thus, it spans the middle 50% of the data. |

**What is the Q3?**

The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order. The median is considered the second quartile (Q2). The interquartile range is the difference between upper and lower quartiles.

### How do I find the lower fence?

The formula for the lower fence is Lower fence = Q 1 − 1.5 × IQR \text{Lower fence} = Q_1 – 1.5\times\text{IQR} Lower fence=Q1−1.5×IQR.

**How do you calculate quartiles examples?**

First Quartile(Q1)=((n+1)/4)th Term also known as the lower quartile. The second quartile or the 50th percentile or the Median is given as: Second Quartile(Q2)=((n+1)/2)th Term. The third Quartile of the 75th Percentile (Q3) is given as: Third Quartile(Q3)=(3(n+1)/4)th Term also known as the upper quartile.

## How do you find Q1 and Q3 in quartile deviation?

Calculation of quartile deviation can be done as follows,

- Q1 is an average of 2nd, which is11 and adds the difference between 3rd & 4th and 0.5, which is (12-11)*0.5 = 11.50.
- Q3 is the 7th term and product of 0.5, and the difference between the 8th and 7th term, which is (18-16)*0.5, and the result is 16 + 1 = 17.