Statistics: Box And Whiskers

Find the quartiles and draw a box and whisker for the following data.
1, 3, 5, 7, 9, 11, 13, 15, 17, 19

n = 10

Use the stem and leaf stem plot to find the quartiles and hence draw and box and whiskers plot.

n = 30
 $Q2=\left(\frac{n+1}{2}\right)^{th}=\left(\frac{30+1}{2}\right)^{th}=\frac{31}{2}^{th}=15.5th\$   $=\frac{15th\ +16th\ }{2}=\frac{35+35}{2}=35$  

The aptitude scores obtained by 51 applicants for a supervisory job are summarized in the following stem and leaf diagram.

(i) Find the median and quartiles for the data given.

(ii) Construct a box-and-whisker plot to illustrate the data given and comment on the distribution of the data.

(i) n = 51

(a) Use the data set provided below to answer the questions which follow.

(i) Construct a stem-and-leaf diagram to represent the given data.

(ii) State an advantage of using the stem - and - leaf diagram to represent the given data.

(iii) Determine the mode.

(iv) Determine the median.

(v) Determine the interquartile range.

(ii) It uses all the values in the data.
(ii) mode =22
(iv) median  $=\frac{12th\ +13th\ }{2}=\frac{30+30}{2}=30$  
(v)  n = 25

 Q2 = 30