Question

Find the range , mean, mode, and
median of the following to data
19, 20, 18, 20, 32, 15, 16​

Answer 1

Answer:

15,16,18,19,20,20,32

Answer 2

Question :

To find mean , range , mode, ,median, and mode.

Answer :

Series : 19 ,20,18,20,32,15,16

• In Ascending order :

15,16,18,19,20,20,32

• To find mean :

$\bf\red{ \: mean \: = \frac{x1 + x2 + x3 + ...xn}{n} }$

$\implies\sf \frac{15 + 16 + 18 + 19 + 20 + 20 + 32}{7} = \frac{140}{7}$

$\implies\sf \: 20$

• To find median :

$\bf\blue{ \: median = size \: of \: (\frac{n + 1}{2})th \: item}$

$\sf\implies \: n = 7$

$\sf\implies \frac{7 + 1}{2} = \frac{8}{2} th \: item$

$\sf\implies4 \: th \: item = 19$

• To find mode :

$\bf\purple{ \: mode = repeated \: item}$

$\implies\sf \: 20 \: (most \: repeated \: item)$

• To find Range :

$\bf\green{ \: range = L - S\: (largest - smallest \: item) \: }$

$\implies\sf \: l = 32 \: \: \\ \sf \: s = 15$

$\sf\implies \: 32 - 15 = 17$

$\bf \bull \: mean \: = 20$

$\bull\bf \: median \: = 19$

$\bull\bf \: mode = 20$

$\bull\bf \: range = 17$