Answer:
1. Mode = 2.60
2. Mean = 3.71
3. Median = 3.12
Step-by-step explanation:
1.
The mode, in statistics, is the number that occurs the "most". If there is no number occurring more than others, there is no mode. Also, there can be more than 1 mode as well.
We need to arrange the number from least to greatest for our ease. Let's do this first.
2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71
Is there any number occurring more than once?
Yes, that's 2.60, so that's the mode.
Mode = 2.60
2.
The mean is the average. We take the sum of all the numbers and divide by the number of numbers [there are 12 numbers].
We have to round the answer to nearest hundredth (2 decimal places).
Let's calculate the sum.
SUM(2.16, 2.19, 2.53, 2.60, 2.60, 2.94, 3.30, 3.67, 4.65, 5.40, 5.76, 6.71) = 44.51
Now, the mean:
Mean = 44.51/12 = 3.71
3.
Median is the "middle" number when the numbers are arranged from least to greatest. If there are a set of even numbers, n = even, then we divide n by 2 and take the average of that number and next number.
Here n = 12
so 12/2 = 6
So we take average of 6th and 7th number to get the median.
First, let's find 6th and 7th number from the list.
6th number = 2.94
7th number = 3.30
We take average of that to find Median.
Median = (2.94+3.30)/2 = 3.12
