Martin had 7 pounds of grapes left, and he gave away 2 5 of them. explain how to use compatible numbers to estimate the amount of grapes he gave away.

Compatible numbers are numbers which are easy to do mental calculation. For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.

First, we know that: 7 pounds=5 pounds + 2 pounds

                                or 7=5+2

In mathematics, the word “of” means to multiply. So:

                                grapes given away = 7  * (2/5)

Replacing 7 with 5 and 2:

                                                                = (5+2)*(2/5)

Using the distribution principle:

                                                =5*(2/5) + 2*(2/5)

                                                =2+ 4/5

                                =2 4/5

So grapes given away is 2 4/5 pounds.

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.