How to make a box and whisker plot

1) Write the five-number summary for the set of data: $41, \ 27, \ 30, \ 64, \ 47, \ 52, \ 47, \ 27, \ 63$

First, we should arrange the given data from smallest to highest: $\color{red}{27, \ 27, \ 30, \ 41, \ 47, \ 47, \ 52, \ 63, \ 64}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 27}$
• $\color{red}{Q_1 \ = \ \frac{27 \ + \ 30}{2} \ = \ 28.5}$
• $\color{red}{Q_2 \ = \ 47}$
• $\color{red}{Q_3 \ = \ \frac{52 \ + \ 63}{2} \ = \ 57.5}$
• $\color{red}{Maximum \ = \ 64}$

2) Write the five-number summary for the set of data: $37, \ 72, \ 33, \ 61, \ 39, \ 52, \ 80, \ 60$

First, we should arrange the given data from smallest to highest: $\color{red}{33, \ 37, \ 39, \ 52, \ 60, \ 61, \ 72, \ 80}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 33}$
• $\color{red}{Q_1 \ = \ 37}$
• $\color{red}{Q_2 \ = \ \frac{52 \ + \ 60}{2} \ = \ 56}$
• $\color{red}{Q_3 \ = \ 72}$
• $\color{red}{Maximum \ = \ 80}$

3) Write the five-number summary for the set of data: $15, \ 32, \ 17, \ 28, \ 12, \ 28, \ 35, \ 17, \ 24$

First, we should arrange the given data from smallest to highest: $\color{red}{12, \ 15, \ 17, \ 17, \ 24, \ 28, \ 28, \ 32, \ 35}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 12}$
• $\color{red}{Q_1 \ = \ \frac{15 \ + \ 17}{2} \ = \ 16}$
• $\color{red}{Q_2 \ = \ 24}$
• $\color{red}{Q_3 \ = \ \frac{28 \ + \ 32}{2} \ = \ 30}$
• $\color{red}{Maximum \ = \ 35}$

4) Write the five-number summary for the set of data: $57, \ 69, \ 54, \ 81, \ 65, \ 52, \ 57, \ 61$

First, we should arrange the given data from smallest to highest: $\color{red}{52, \ 54, \ 57, \ 57, \ 61, \ 65, \ 69, \ 81}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 52}$
• $\color{red}{Q_1 \ = \ 54}$
• $\color{red}{Q_2 \ = \ \frac{57 \ + \ 61}{2} \ = \ 59}$
• $\color{red}{Q_3 \ = \ 69}$
• $\color{red}{Maximum \ = \ 81}$

5) Write the five-number summary for the set of data: $72, \ 68, \ 75, \ 70, \ 65, \ 61, \ 82, \ 81$

First, we should arrange the given data from smallest to highest: $\color{red}{61, \ 65, \ 68, \ 70, \ 72, \ 75, \ 81, \ 82}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 61}$
• $\color{red}{Q_1 \ = \ 65}$
• $\color{red}{Q_2 \ = \ \frac{70 \ + \ 72}{2} \ = \ 71}$
• $\color{red}{Q_3 \ = \ 81}$
• $\color{red}{Maximum \ = \ 82}$

6) Write the five-number summary for the set of data: $29, \ 35, \ 18, \ 53, \ 12, \ 32, \ 17, \ 25, \ 41$

First, we should arrange the given data from smallest to highest: $\color{red}{12, \ 17, \ 18, \ 25, \ 29, \ 32, \ 35, \ 41, \ 53}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 12}$
• $\color{red}{Q_1 \ = \ \frac{17 \ + \ 18}{2} \ = \ 17.5}$
• $\color{red}{Q_2 \ = \ 29}$
• $\color{red}{Q_3 \ = \ \frac{35 \ + \ 41}{2} \ = \ 38}$
• $\color{red}{Maximum \ = \ 53}$

7) Write the five-number summary for the set of data: $73, \ 83, \ 67, \ 63, \ 59, \ 75, \ 55, \ 69, \ 59$

First, we should arrange the given data from smallest to highest: $\color{red}{55, \ 59, \ 59, \ 63, \ 67, \ 69, \ 73, \ 75, \ 83}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 55}$
• $\color{red}{Q_1 \ = \ \frac{59 \ + \ 59}{2} \ = \ 59}$
• $\color{red}{Q_2 \ = \ 67}$
• $\color{red}{Q_3 \ = \ \frac{73 \ + \ 75}{2} \ = \ 74}$
• $\color{red}{Maximum \ = \ 83}$

8) Write the five-number summary for the set of data: $75, \ 85, \ 98, \ 93, \ 61, \ 78, \ 65, \ 76, \ 68$

First, we should arrange the given data from smallest to highest: $\color{red}{61, \ 65, \ 68, \ 75, \ 76, \ 78, \ 85, \ 93, \ 98}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 61}$
• $\color{red}{Q_1 \ = \ \frac{65 \ + \ 68}{2} \ = \ 66.5}$
• $\color{red}{Q_2 \ = \ 76}$
• $\color{red}{Q_3 \ = \ \frac{85 \ + \ 93}{2} \ = \ 89}$
• $\color{red}{Maximum \ = \ 98}$

9) Write the five-number summary for the set of data: $99, \ 89, \ 108, \ 76, \ 105, \ 73, \ 93, \ 82$

First, we should arrange the given data from smallest to highest: $\color{red}{73, \ 76, \ 82, \ 89, \ 93, \ 99, \ 105, \ 108}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 73}$
• $\color{red}{Q_1 \ = \ 76}$
• $\color{red}{Q_2 \ = \ \frac{89 \ + \ 93}{2} \ = \ 91}$
• $\color{red}{Q_3 \ = \ 105}$
• $\color{red}{Maximum \ = \ 108}$

10) Write the five-number summary for the set of data: $82, \ 66, \ 89, \ 95, \ 69, \ 98, \ 61, \ 78, \ 73, \ 80$

First, we should arrange the given data from smallest to highest: $\color{red}{61, \ 66, \ 69, \ 73, \ 78, \ 80, \ 82, \ 89, \ 95, \ 98}$
Now, according to the above data:

• $\color{red}{Minimum \ = \ 61}$
• $\color{red}{Q_1 \ = \ 69}$
• $\color{red}{Q_2 \ = \ \frac{78 \ + \ 80}{2} \ = \ 79}$
• $\color{red}{Q_3 \ = \ 89}$
• $\color{red}{Maximum \ = \ 98}$