Question

A table of $20$ patients admitted to a hospital have blood sugar levels as given below:
$67,69,74,73,70,70,71,68,73,74,73,75,69,72,70,70,72,70,73,74$. Make a frequency table.

Answer 1

In this question, we have the set of given observations.we have to make the frequency table.
In statistics, a frequency distribution is a list, table or graph that displays the frequency of various outcomes in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval.

Complete step-by-step solution:
We have the blood sugar levels of $20$ patients admitted to a hospital given below:
$67,69,74,73,70,70,71,68,73,74,73,75,69,72,70,70,72,70,73,74$.
We need to make a frequency table.
To find the frequency table, we need to construct a table containing the blood sugar levels in ascending order putting in the first row and the frequency of all the data in the second row and the third row contains Cumulative Frequency
Cumulative frequency can also be defined as the sum of all previous frequencies up to the current point.

Blood sugar levels $\left( {{x_i}} \right)$	Frequency$\left( f \right)$	Cumulative Frequency$\left( {cf} \right)$
$67$	$1$	$1$
$68$	$1$	$1 + 1 = 2$
$69$	$2$	$2 + 2 = 4$
$70$	$5$	$4 + 5 = 9$
$71$	$1$	$9 + 1 = 10$
$72$	$2$	$10 + 2 = 12$
$73$	$4$	$12 + 4 = 16$
$74$	$3$	$16 + 3 = 19$
$75$	$1$	$19 + 1 = 20$

Note: In statistics, a frequency distribution is a list, table or graph that displays the frequency of various outcomes in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval.
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also be defined as the sum of all previous frequencies up to the current point.