Question

Find the mean. If necessary, round to one decimal place.1) 59, 14, 78, 33, 135, 95 Find the median. If necessary, round to one decimal place.2) 42,23,10,4,25,22,29,33,40,40Find the mode or modes (if any).3) 5, 9, 32, 3, 2, 8, 20, 1, 4, 16

Answer 1

1) the mean is the sum of the data, divided by the number of values. In this case, we have 6 numbers.

Let's add them and divide by 6:

`(59+14+78+33+135+95)/(6)=(414)/(6)=69`

The mean is 69

2) To find the median, we need to order the data set from smallest to biggest:

`42,23,10,4,25,22,29,33,40,40\Rightarrow4,10,22,23,25,29,33,40,40,42`

And then we need to find the value in the middle

But, since there is a even number of data (10) there is two values in the middle: 25 and 29, then we we need to calculate the mean between these two numbers:

`(25+29)/(2)=27`

The median is 27

3) The mode is the number which appears most often.

But in this data set, there is no repeating numbers, then there is no mode.