|
The daily salaries of six employees are 140, 220, 90, 180, 140, 200. For these six salaries, find: (a) the mean (b) the median (c) the mode
First, list the data in order: 90, 140, 140, 180, 200, 220
Mean : (90 + 140 + 140 + 180 + 200 + 220) / 6 = 161.66
Median: 90,140,(140,180),200,220
The two numbers that fall in the middle need to be averaged.
(140 + 180) / 2 = 160
Mode: The number that appears the most is 140
.............................................
In January of 2013, your family moved to a tropical climate. For the year that followed, you recorded the number of rainy days that occurred each month. Your data contained 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8.
a. Find the mean, mode, median and range for your data set of rainy days.
b. If the number of rainy days doubles each month in the year 2014, what will be the mean, mode, median and range for the 2014 data?
c. If, instead, there are three more rainy days per month in the year 2014, what will be the mean, mode, median and range for the 2014 data?
mean mode median range
a. 11.75 11, 14 11.5 8 - 14
b. 23.25 22, 28 23 16 - 28
Notice that if you double each data entry, you double the mean, mode, median and range.
c. 14.75 14, 17 14.5 11 - 17
Notice that if you add three to each data entry, you add three to the mean, mode, median and range.
.............................................
30 couples were asked how many children they have. The results are shown below.
Value |
Frequency |
Total |
0 |
3 |
0 |
1 |
7 |
7 |
2 |
10 |
20 |
3 |
8 |
24 |
4 |
1 |
4 |
5 |
1 |
5 |
|
30 |
60 |
Mean - 2. The total of the 30 data is 60. So, mean = 60/30 = 2
Median - 2. Counting up, both 15th and 16th value are 2
Mode - 2. The value of 2 has the heighest frequency
Range - 5. The highest is 5 and the smallest is 0. So, range = 5 - 0 = 5
.............................................
A class collected data on their shoe sizes and presented it in the table below:
Size |
Freq |
Total |
3 |
2 |
6 |
4 |
7 |
28 |
5 |
6 |
30 |
6 |
5 |
30 |
7 |
3 |
21 |
8 |
2 |
16 |
|
25 |
131 |
Mean - 5.24. The total of the 25 data is 131. So, mean = 131/25 = 5.24
Median - 5. Counting up, the 13th value is 5
Mode - 4. The value of 4 has the heighest frequency
Range - 5. The highest is 8 and the smallest is 3. So, range = 8 - 3 = 5
……………………………………………………………………………………………………………………………………………
|
