## How do you work out the interquartile range from a frequency table?

Steps:

- Step 1: Put the numbers in order.
- Step 2: Find the median.
- Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot.
- Step 4: Find Q1 and Q3.
- Step 5: Subtract Q1 from Q3 to find the interquartile range.

**How do you calculate the interquartile range?**

To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

### How do we calculate cumulative frequency?

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always be equal to the total for all observations, since all frequencies will already have been added to the previous total.

**What is cumulative frequency example?**

The cumulative frequency of a value of a variable is the number of values in the collection of data less than or equal to the value of the variable. For example: Let the raw data be 2, 10, 18, 25, 15, 16, 15, 3, 27, 17, 15, 16. The cumulative frequency of 15 = 6 (Since, values ≤ 15 are 2, 10, 15, 15, 3, 15).

#### What is a cumulative frequency histogram?

It is an estimate of the probability distribution of a continuous variable. For a histogram In order to calculate the frequency density, we use. Cumulative frequency is accumulation of the frequencies. First plot the graph and then join up the points to make a cumulative curve.

**How do you solve for quartiles?**

The quartile formula helps in calculating the value that divides a list of numbers into quarters….Quartile Formula

- First Quartile(Q1) = ((n + 1)/4)th Term.
- Second Quartile(Q2) = ((n + 1)/2)th Term.
- Third Quartile(Q3) = (3(n + 1)/4)th Term.

## What is the formula of lower quartile?

When the set of observations are arranged in ascending order the quartiles are represented as, 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.

**What is the difference between cumulative frequency and frequency?**

Frequency means how many times a particular datum(may be of any series) is repeated in general whereas cumulative frequency is the addition of the frequency of previous class to that of frequency of next class.

### What is cumulative frequency diagram?

A cumulative frequency graph shows the total number of values that fall below the upper boundary of each variable. All this means is that it represents the running-total of frequencies.

**How do you get the cumulative frequency polygon?**

To obtain the cumulative frequency polygon, we draw straight line sections to join these points in sequence. Estimate the median from the graph. There are 119 values, so the median will be the 119 + 1 2 = 60th value. This can be read from the graph as shown above. Estimate the interquartile range from the graph.

#### How to find the interquartile range from cumulative frequency?

41. 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 x c.f Upper Quartile: 8 Lower Quartile: 5.5 So, the Interquartile Range is: 8 – 5.5 = 2.5 Our Final Answer! 54. 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 x c.f The Median is just below 7, by estimation it is 6.8

**How to calculate the interquartile range in unit 16?**

Estimate the median from the graph. There are 119 values, so the median will be the 119 + 1 2 = 60th value. This can be read from the graph as shown above. Estimate the interquartile range from the graph. The lower quartile will be given by the 119 + 1 4 th value. The upper quartile will be given by the 3 (119 + 1) 4 th value.

## How to calculate cumulative frequency in unit 16?

Unit 16 Section 3 : Cumulative Frequency Lower quartile = n + 1 4 th value Median = n + 1 2 th value Upper quartile = 3 (n + 1) 4 th value Interquartile range = upper quartile – lower quartile Semi-interquartile range = interquartile range 2