# How is median related to interquartile range?

## How is median related to interquartile range?

There are 5 values above the median (upper half), the middle value is 77 which is the third quartile. The interquartile range is 77 – 64 = 13; the interquartile range is the range of the middle 50% of the data. When the sample size is odd, the median and quartiles are determined in the same way.

### What is the interquartile range formula?

The interquartile range formula is the first quartile subtracted from the third quartile: IQR = Q3 – Q1.

#### Is the median the average of Q1 and Q3?

The first group of values contains the smallest number up to Q1; the second group includes Q1 to the median; the third set is the median to Q3; the fourth category comprises Q3 to the highest data point of the entire set.

How do you find the median of a Class 9?

Median = [(n/2)th term + {(n/2) + 1}th term] / 2

1. Step 1: Order the given data in ascending order as:
2. Step 2: Check n (number of terms of data set) is even or odd and find the median of the data with respective ‘n’ value.
3. Step 3: Here, n = 5 (odd) then Median = [(n + 1)/2]th term 10, 20, 30, 40, 50.

What is the median of this data set?

The Median of a Data Set The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest) — or, if there are an even number of data, the median is the average of the middle two numbers.

## Is the median of a set of data an interquartile range?

Interquartile, Semi-Interquartile and Mid-quartile Ranges. In a set of data, the quartiles are the values that divide the data into four equal parts. The median of a set of data separates the set in half. The median of the lower half of a set of data is the lower quartile ( L Q ) or Q 1 .

### What is the formula for the inter quartile range?

Inter Quartile Range for grouped data. Inter quartile range is given by. I Q R = Q 3 − Q 1. where, Q 1 is the first quartile. Q 3 is the third quartile. The formula for i t h quartile is. Q i = l + ( i N 4 − F < f) × h; i = 1, 2, 3. where,

#### What is the IQR formula for grouped data?

The IQR formula for grouped data is just the same with non-grouped data, with interquartile range being equal to the value of the 1st quartile subtracted from the value of the 3rd quartile.

Which is the middle of the quartile range?

The interquartile range or IQR is the range of the middle half of a set of data. It is the difference between the upper quartile and the lower quartile.