A special type of timber can be bought in 3 lengths. The lengths that can be bought and the price of each plank are shown in the table below. Length of plank in metres 2.5 3.5 4.5
Price $2.50 $3.50 $4.50

Sophie needs to buy enough of this type of timber so that by sawing the planks she will have 10 pieces of length 1.50m, 10 pieces of length 2.00m and 10 pieces of length 3.00m.

(a) What is the least that Sophie can pay for the timber that she needs? [2]

Sophie’s project was successful and she decided to repeat it. Unfortunately, when she went back to the timber merchant the prices had changed. The new prices are in the following table.

Length of plank in metres 2.5 3.5 4.5
Price: $2.50 $4.50 $6.00

(b) What is the least she could now pay to get enough timber for her needs? [3]

Step-by-step explanation:

oh so you like pay back?

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.