Logo

Science: Middle School: Grades 6, 7 and 8 Quiz - Mean (Questions)

This Science quiz is called 'Mean' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us

When you have obtained results from your experiment or investigation, you then need to process them. In most investigations, you will have obtained a set of numbers as the results. One way to process these is to calculate the average value. There are three main types of average: median, mode and - the subject of this science quiz - mean.

[readmore]

It is always a good idea to repeat your experiment several times in order to get a larger amount of data. Once who have gathered enough data you can then calculate the mean value. The mean is one particular type of average. To calculate the mean you add up all the values and divide by the number of values in your sample (the sample size). When you work out the mean of a set of results, it is particularly useful as it 'smooths out' the results and gives a more reliable overall answer.

Imagine that you have carried out an experiment looking at how temperature affects the growth of seedlings. Genetics can affect how quickly an individual plant will grow. The temperature might be slightly different for some seedlings too. The result would be that some grow more slowly than others. So to overcome these sources of error in your investigation, you should have planned to use a large number of seedlings and to measure the mean height. This ensures that no single seedling will influence the results so they will be more accurate and reliable. To get the most reliable results, you would need to use a large number of seedlings, the more you use, the better the mean will be.

The mean is one of the three most common types of average. The others are the median and the mode. The mode is the number that occurs most frequently in your data set and the median is the number that is at the center of the list when it is written in order. If scientists talk about an average, the almost certainly are referring to the mean. So if you refer to the mean as the average in your exams or investigation, don't worry, you won't be penalized!

[/readmore]
1. Mean is also known as the...
[ ] mode
[ ] median
[ ] average
[ ] range
2. Find the mean of the following data: 4, 6, 9, 3, 6
[ ] 5.4
[ ] 5.5
[ ] 5.6
[ ] 5.7
3. The mode is...
[ ] the same thing as mean
[ ] equal to the average
[ ] the number that is repeated most often
[ ] the middle value
4. What is the mean for the values: 13, 18, 13, 14, 13, 16, 14, 21, 13
[ ] 15
[ ] 16
[ ] 17
[ ] 18
5. What is the mode for this data? 11, 11, 13, 13, 11, 14, 11, 11, 12
[ ] 11
[ ] 12
[ ] 13
[ ] 14
6. What is the median for this data? 11, 11, 12, 13, 15, 19, 21
[ ] 11
[ ] 12
[ ] 13
[ ] 21
7. We can use the mean values of a set of results to ...
[ ] plot a scatter diagram
[ ] write a hypothesis
[ ] draw the diagram
[ ] write a risk assessment
8. The sample size is the...
[ ] range
[ ] number of results
[ ] mode
[ ] graph
9. To calculate the mean, we divide the sum of the results by the...
[ ] average
[ ] sample size
[ ] range
[ ] statistic
10. Average can never be the same value as the maximum unless it is ...
[ ] the mean
[ ] the minimum
[ ] the mode
[ ] the median
Logo
Science: Middle School: Grades 6, 7 and 8 Quiz - Mean (Answers)
1. Mean is also known as the...
[ ] mode
[ ] median
[x] average
[ ] range
Average is a general word that includes the median and the mode so if you are stating that you are going to work out the average value, strictly speaking you would need to specify which one you intended to use
2. Find the mean of the following data: 4, 6, 9, 3, 6
[ ] 5.4
[ ] 5.5
[x] 5.6
[ ] 5.7
Sum then divide by the sample size
3. The mode is...
[ ] the same thing as mean
[ ] equal to the average
[x] the number that is repeated most often
[ ] the middle value
In some cases, you would be more interested in the mode than the mean
4. What is the mean for the values: 13, 18, 13, 14, 13, 16, 14, 21, 13
[x] 15
[ ] 16
[ ] 17
[ ] 18
Two thirds of the numbers are less than the average, this shows you how you need to be careful. In an experiment, the values of 18 and 21 could be anomalous results and may need re-checking for accuracy
5. What is the mode for this data? 11, 11, 13, 13, 11, 14, 11, 11, 12
[x] 11
[ ] 12
[ ] 13
[ ] 14
It is the most common number in the data set
6. What is the median for this data? 11, 11, 12, 13, 15, 19, 21
[ ] 11
[ ] 12
[x] 13
[ ] 21
The median is the middle value. The 4th number in the list of 7 numbers in ascending order
7. We can use the mean values of a set of results to ...
[x] plot a scatter diagram
[ ] write a hypothesis
[ ] draw the diagram
[ ] write a risk assessment
Adding a line or curve of best fit then shows the correlation between the variables that have been investigated
8. The sample size is the...
[ ] range
[x] number of results
[ ] mode
[ ] graph
You only need a sample size of two to calculate the mean
9. To calculate the mean, we divide the sum of the results by the...
[ ] average
[x] sample size
[ ] range
[ ] statistic
Larger sample sizes give more reliable results
10. Average can never be the same value as the maximum unless it is ...
[ ] the mean
[ ] the minimum
[x] the mode
[ ] the median
The other types of average must be less than the maximum