Question

18. The weights (in kg) of 15 students of a
class are 38, 42, 35, 37, 45, 50, 32, 43, 43,
40, 36, 38,43, 38, 47. Find the range and
median of given data.​

Answer 1

Step-by-step explanation:

We know that,

Range=(Largest observation-Smallest observation)

So,

Range=50-32=18

We know that,

After rearranging the given observations in ascending order,If the number of observations(n) is odd,

$median = (\frac{n + 1}{2} )th \: term \: \\ from \: beginning$

So,In ascending order,the observations

are

32,35,36 ,37, 38, 38, 38, 40 ,42 ,43, 43, 43, 45, 47 ,50

Since,there are 15 observations in total,

$median =( \frac{15 + 1}{2} )th \: term$

So,

$median = 8th \: term$

The 8 th term from beginning is 40.

Hence,

40 is the median of the given data.