Question

List of $ 5 $ pulse rates is: $ 70,64,80,74,92 $ . What is the median for this list?
A. $ 74 $
B. $ 76 $
C. $ 77 $
D. $ 80 $

Answer 1

Hint: The median can be defined as the middle most number in the given sequence of the numbers when arranged by the rank either in ascending or the descending order. It is denoted by “M”. Here will use the formula to find the middle most value.

Complete step-by-step answer:
Arrange the given numbers in ascending order.
 $ 64,70,74,80,92 $
When the given numbers are odd, median $ M = \dfrac{{n + 1}}{2} $ and when their given numbers are even, do the sum of two middle terms and divide them by two.
Here “n” is the number of numbers in the sequence.
 $ n = 5 $
Here, $ M = \dfrac{{5 + 1}}{2} $
Simplify –
 $ M = \dfrac{6}{2} $
 $ M = 3 $
Now, third observation is our median from the arranged series –
 $ M = 74 $
From the given multiple choices, the option A is the correct answer.
So, the correct answer is “Option A”.

Note: Always remember the difference between mean, median and mode. Mean can be defined as the sum of all the numbers upon the total number of the numbers and it is affected by the extreme values of the sequences or the observations in the range while in the median extreme values do not affect the extreme values subsequently as it is the middle most value of the observations while mode can be defined as the value or number repeated in the given data.