Box and whisker plot

Construct a box and whisker plot for the given data.
56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43

Correct answer:

min =  12
Q₁ =  23.5
Q₂ =  33
Q₃ =  46
max =  67

Step-by-step explanation:

$$\begin{gathered} 12,19,23,23,24,32,32,32,34,36,43,45,47,54,56,67 \\ min=12 \end{gathered}$$

$$\begin{gathered} n=16 \\ {i}_1=n\mathrm{/}4=16\mathrm{/}4=4 \\ {Q}_1=(23+24)\mathrm{/}2={\displaystyle \frac{47}{2}}=23\frac{1}{2}=23.5 \end{gathered}$$

$$\begin{gathered} i_2=n\mathrm{/}2=16\mathrm{/}2=8 \\ {Q}_2=(32+34)\mathrm{/}2=33 \end{gathered}$$

$$\begin{gathered} i_3=0.75\cdot n=0.75\cdot 16=12 \\ {Q}_3=(45+47)\mathrm{/}2=46 \end{gathered}$$

$max=67$

Try another example

Showing 2 comments:

Mel B

love this site

2 years ago  Like

Dr Math

For now we can only numerical calculate MIN, Q1,Q2,Q3, MAX  for this stats  data:

https://www.hackmath.net/en/calculator/statistics?input=56%2C+32%2C+54%2C+32%2C+23%2C+67%2C+23%2C+45%2C+12%2C+32%2C+34%2C+24%2C+36%2C+47%2C+19%2C+43

2 years ago  Like

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