**TOPIC 3: STATISTICS ~ MATHEMATICS FORM 3**

**Mean**

Calculating the Mean from a Set of Data, Frequency Distribution Tables and Histogram

Calculate the mean from a set of data, frequency distribution tables and histogram

Measures of central tendency:

The arithmetic mean

Example 1

The masses of some parcels are 5kg, 8kg, 20kg and 15kg. Find the mean mass of the parcels.

**Solution**

Total mass = (5 + 8 + 20 + 15) kg = 48kg

The number of parcels = 4

The mean mass = 48kg ÷ 4 = 12kg

The arithmetic mean used as measure of central tendency can be misleading as can be seen in the following example.

Example 2

John

and Mussa played for the local cricket team. In the last six batting

innings, they scored the following number of runs.John: 64, 0, 1, 2, 4,

1;Mussa: 15, 20, 13, 11 , 10, 3.Find the mean score of each player.

Which player would you rather have in your team? Give a reason.

and Mussa played for the local cricket team. In the last six batting

innings, they scored the following number of runs.John: 64, 0, 1, 2, 4,

1;Mussa: 15, 20, 13, 11 , 10, 3.Find the mean score of each player.

Which player would you rather have in your team? Give a reason.

**Solution**

John’s mean = (64 + 0 + 1 + 2 + 4 + 1) ÷ 6 = 12

Mussa’s mean = (15 + 20 + 13 + 11 + 10 + 3) ÷ 6 = 12

Each

player has the same mean score. However, observing the individual

scores suggests that they are different types of player. If you are

looking for a steady reliable player, you would probably choose Mussa.

player has the same mean score. However, observing the individual

scores suggests that they are different types of player. If you are

looking for a steady reliable player, you would probably choose Mussa.

Often it is possible to use the mean of one set of numbers to find the mean of another set of related numbers.

Suppose a number a is added to or subtracted from all the data. Then a is added to or subtracted from the mean.

Suppose

the n values are 𝑥!+𝑥! + 𝑥! ………+𝑥!. Multiply each by a, and

we obtain 𝑎𝑥!+𝑎𝑥! + 𝑎𝑥! ………+𝑎𝑥!. So we see that the mean

has been multiplied by a.

the n values are 𝑥!+𝑥! + 𝑥! ………+𝑥!. Multiply each by a, and

we obtain 𝑎𝑥!+𝑎𝑥! + 𝑎𝑥! ………+𝑎𝑥!. So we see that the mean

has been multiplied by a.

Interpreting the Mean Obtained from a Set Data, Frequency Distribution Tables and Histogram

Interpret the mean obtained from a set data, frequency distribution tables and histogram

Measures of central tendency from frequency tables

If the data has already been put into a frequency table, the calculation of the measures of central tendency is slightly easier.

Exercise 1

Juma rolled a six- sided die 50 times. The scores he obtained are summarized in the following table.Calculate the mean score

Score (x) | 1 | 2 | 3 | 4 | 5 | 6 |

Frequency (f) | 8 | 10 | 7 | 5 | 12 | 8 |

**Solution**

10 scores of 2 give a total 10 x 2 = 20

8 scores of 1 gives a total 8 x 1 = 8

And so on, giving a total score of

8 x 1 +10 x 2+7 x 3 + 5 x 4 + 12 x 5 + 8 x 6 = 177

The total frequency = 8 + 10 + 7 + 5 + 12 + 8 = 50

The mean score = 177 ÷ 50 = 3.34

Wonderful blog you have here but I was curious about if you knew of any community forums

that cover the same topics discussed here? I’d really like to be a part

of community where I can get responses from other experienced individuals that share the same

interest. If you have any recommendations, please let me know.

Many thanks!

If you are going for most excellent contents like I do, only go to

see this web page everyday since it gives feature contents, thanks

Greetings! This is my first visit to your blog! We are a group of volunteers and

starting a new project in a community in the same niche.

Your blog provided us valuable information to work on. You have

done a extraordinary job!

I’d like to find out more? I’d love to find out some additional information.

Hi there just wanted to give you a quick heads up.

The words in your content seem to be running off the screen in Ie.

I’m not sure if this is a format issue or something to do with browser compatibility but I figured I’d post to let you know.

The layout look great though! Hope you get the issue resolved soon. Thanks

My page – download game ace333

Have you ever considered publishing an e-book or guest authoring on other

sites? I have a blog based on the same subjects you discuss and would love to

have you share some stories/information. I know my readers would value your

work. If you are even remotely interested, feel free to send me an e-mail.

Here is my homepage – ace333 download ios – 918kiss-m.com –

My brother recommended I might like this website.

He was entirely right. This post truly made my day.

You can not imagine simply how much time I had spent for this info!

Thanks!

my web-site: download game 918kiss 2

Hello my loved one! I wish to say that this article is amazing, great written and come with almost

all vital infos. I would like to peer more posts like this .

my website; kiosk Ok388 (918kiss-m.Com)

This is really interesting, You’re a very skilled blogger.

I have joined your feed and look forward to seeking more of your wonderful post.

Also, I have shared your site in my social networks!

my blog lpe88apk download

What i don’t understood is in truth how you’re

not really a lot more smartly-favored than you might be now.

You are very intelligent. You know thus significantly relating to this topic, produced me personally consider it from numerous varied angles.

Its like women and men are not fascinated unless it is one thing to

do with Lady gaga! Your individual stuffs great. Always handle it up!

Hi, after reading this remarkable piece of writing i am too glad to share my familiarity here with

friends.

Fastidious answers in return of this difficulty

with real arguments and telling the whole thing concerning that.

Howdy just wanted to give you a quick heads up and let you know a few of the pictures aren’t loading

properly. I’m not sure why but I think its a linking issue.

I’ve tried it in two different browsers and both show the same outcome.

Look into my webpage: game mega888 online (918kiss-m.com)

Your style is so unique compared to other people I have read stuff from.

I appreciate you for posting when you have the

opportunity, Guess I will just book mark this site.

Look into my webpage gem Wukong333 (https://918kiss-m.Com)

Hello every one, here every one is sharing these knowledge,

so it’s pleasant to read this webpage, and I used to pay a visit this website every day.

Here is my blog post akaun test ntc33

Hello, i think that i noticed you visited my site thus

i came to go back the choose?.I’m trying to find things to improve my site!I assume its ok to make use of a few

of your concepts!!

My webpage :: judi online indonesia (Blaine)

Im thankful for the post.Really thank you! Want more.