Calculate the mean of the following data sets:
6, \, 4
8, \, 5
4, \, 8, \, 9, \, 12
4, \, 10, \, 2, \, 9, \, 5
6, \, 14, \, 10, \, 13, \, 5, \, 9, \, 14, \, 15
11, \, 5, \, 14, \, 18, \, 15
8, \, 14, \, 24, \, 7, \, 12
13, \, 27, \, 9, \, 6, \, 8
13, \, 15, \, 7, \, 17, \, 9
-2, \, -8, \, -9, \, -4, \, -7
-9, \, 0, \, 9, \, -6, \, 6
A set of 15 scores is arranged in increasing order. In what position does the median score lie?
Find the median of the following data sets:
2, \, 3, \, 4, \, 5, \, 6
6, \, 9, \, 3, \, 5, \, 4
1, \, 4, \, 6, \, 8
22, \, 12, \, 19, \, 16
2, \, 4, \, 9, \, 10
3, \, 18, \, 10, \, 19, \, 12, \, 5, \, 6, \, 20, \, 7
7, \, 19, \, 6, \, 14, \, 18, \, 11
5.3, \, 8.4, \, 2.6, \, 4.7, \, 3.5
49.4, \, 25.4, \, 47.2, \, 34.2, \, 28.4, \, 32.2
-4, \, -17, \, -11, \, 14, \, 20, \, 6
Write down four consecutive odd numbers whose median is 12.
Find the median from the following frequency distribution tables:
| Score | 12 | 13 | 14 | 15 | 16 |
|---|---|---|---|---|---|
| Frequency | 1 | 2 | 3 | 4 | 5 |
| Score | 15 | 16 | 17 | 18 | 19 |
|---|---|---|---|---|---|
| Frequency | 1 | 4 | 1 | 4 | 4 |
| Score | 15 | 16 | 17 | 18 | 19 |
|---|---|---|---|---|---|
| Frequency | 2 | 7 | 3 | 1 | 5 |
Find the range of the following scores:
7, 12, 9, 19, 11, 4, 8, 15, 3
11.9, 15.6, 3.7, 19.6, 18.3, 4.7, 9.1, 12.5, 5.4
- 16 , - 3 , - 12 , - 8 , - 11 , - 15 , - 18 , - 5 , - 17
11, - 19 , 14, 17, - 11 , 15, 13, - 5 , - 20
10, 7, 2, 14, 13, 15, 11, 4
15, - 2 , - 8 , 8, 15, 6, - 16 , 15
Find the range of the following scores:
- 0.5537 , 1.7444, - 0.3381 , 0.7200, - 0.3381 , 1.0435
Write down four whole numbers whose median is 14 and whose range is 3.
Consider the following data set:
| Score | 11 | 14 | 19 | 22 | 29 |
|---|---|---|---|---|---|
| Frequency | 10 | 13 | 4 | 7 | 12 |
Calculate the median.
Calculate the range.
A group of students had a range in marks of 17 and the lowest score was 9. Find the highest score in the group.
The range of a set of scores is 8, and the highest score is 19. Find the lowest score in the set.
A phone support centre tracks the length of calls made each day in minutes. During a shift, one employee made calls of the following lengths:
2, \, 3, \, 3, \, 2, \, 2, \, 4, \, 4, \, 2, \, 5, \, 13
How many calls did the employee make during their shift?
Calculate the following for the length of calls made:
Mean
Median
Mode
Range
The television show "Dragon Duels" ran for three seasons, each with 6 episodes. The average fan ratings (out of 10) for each episode are shown in the following table:
| Episode 1 | Episode 2 | Episode 3 | Episode 4 | Episode 5 | Episode 6 | |
|---|---|---|---|---|---|---|
| Season 1 | 8.2 | 8.4 | 7.9 | 7.9 | 8 | 8.2 |
| Season 2 | 8.2 | 8.6 | 9.1 | 7.8 | 8.8 | 8.4 |
| Season 3 | 8.9 | 9.4 | 9.2 | 9.7 | 5.4 | 4.3 |
Which season has the highest mean rating?
Which season has the highest median rating?
Which season has the highest range of ratings?
A rating system of 1 - 3 was used in a survey to determine the usefulness of a new feature. The ten scores shown below are known to have a mode of 1.
3, 2, 3, 2, 1, 3, 1, 1, 2, xFind the missing score, x.
A real estate agent wanted to determine a typical house price in a certain area. He gathered the selling price of some houses (in dollars):
317\,000, \text{ }\text{ }320\,000,\text{ }\text{ } 347\,000,\text{ }\text{ } 360\,000,\text{ }\text{ } 378\,000,\text{ }\text{ } 395\,000,\text{ }\text{ } 438\,000,\text{ }\text{ } 461\,000,\text{ }\text{ } 479\,000,\text{ }\text{ } 499\,000
Calculate the mean house price.
Determine the median house price.
Susanah has been growing watermelons. The weights of the watermelons (in kilograms) are: 15,\text{ }\text{ } 6,\text{ }\text{ } 5,\text{ }\text{ } 2,\text{ }\text{ } 4,\text{ }\text{ } 4,\text{ }\text{ } 5
Calculate the median weight of the watermelons.
Calculate the mean weight. Round your answer to two decimal places.
Durations of calls (in minutes) made in a household were recorded as follows:
5,\text{ }\text{ } 11,\text{ }\text{ } 3,\text{ }\text{ } 9,\text{ }\text{ } 5,\text{ }\text{ } 14,\text{ }\text{ } 5,\text{ }\text{ } 14,\text{ }\text{ } 14,\text{ }\text{ } 3,\text{ }\text{ } 7,\text{ }\text{ } 7,\text{ }\text{ } 7,\text{ }\text{ } 5,\text{ }\text{ } 3,\text{ }\text{ } 3,\text{ }\text{ } 7,\text{ }\text{ } 14,\text{ }\text{ } 5
What was the total number of calls made?
What was the longest duration of a call?
What was the shortest duration of a call?
What was the mean duration of a call? Round your answer to two decimal places.
What was the modal duration?
What was the median duration?
Victoria has scored 12 goals this season, with a mean of 2 goals per game. How many games did she play?
Marge grows two different types of bean plants. She records the number of beans that she picks from each plant for 10 days. Her records are as follows:
-
Plant A: 4,\text{ } 4, \text{ }5, \text{ }7, \text{ }10,\text{ } 3,\text{ } 3,\text{ } 9,\text{ } 10
Plant B: 8,\text{ } 7,\text{ } 5,\text{ } 5,\text{ } 9,\text{ } 7,\text{ } 8,\text{ } 7,\text{ } 5,\text{ } 6
What is the mean number of beans picked per day for Plant A? Round your answer to one decimal place.
What is the mean number of beans picked per day for Plant B? Round your answer to one decimal place.
What is the range for Plant A?
What is the range for Plant B?
Which plant produces more beans on average?