Determine the IQR for the data represented by the stem plot. Type a numerical answer in the space provided. Do not

type spaces in your answer.

116

21 2 4 8 9

31 0 1 1 2 3 4 5 6 7 8

41 1 5 8

51 0 1 8

101

Step-by-step explanation:

The first step is to extract the data from the stem and leaf given. From the stem and leaf, the stem is 2-digits value and leaf follows.

Here are the stems:

11, 21, 31, 41 and 51.

The leaves are:

6, 2, 4, 8, 9, 0, 1, 1, 2, 3, 4, 5, 6, 7, 8, 1, 5, 8, 0, 1, 8.

Therefore the actual data become:

116, 212, 214, 218, 219, 310, 311, 311, 312, 313, 314, 315, 316, 317, 318,  411, 415, 418, 510, 511, 518.

Having done this, we calculate the IQR. The IQR is known as Interquartile range which is the difference between the upper quartile and the lower quartile.

That is,

IQR = Q3 - Q2

You can simply do this in R:

#R code

stm = c(116, 212,214,218,219,310,311,311,312,313,314,315,316,317,318,

411,415,418,510,511,518)

quantile(stm)  #... this gives you the quartiles.

IQR(stm) #.. this gives the answer directly

(-1,-0.5)

step-by-step explanation: