Mean

​Understanding Central tendency of data set

Understanding data

​Finding the central tendency to measure average

• mean

• median

• mode

Calculating mean for ungrouped data

​Click on the link on next slide

mean raw data.MP4 - Google Drive

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https://drive.google.com/file/d/1XpzY3ygtVD-ZSvyCgX9WwJBqOEukJNwe/view?usp=sharing

Multiple Choice

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

Can x be 8?

• Yes

• No

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

Can x be 8?

No, it is not possible.

The most number of sweets that a student brought was 7, hence the mean number of sweets, x, must be less than 7 and x cannot be 8.

Multiple Choice

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

If x=5, does it mean that one of the students has to bring 5 sweets?

• Yes

• No

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

If x=5, does it mean that one of the students has to bring 5 sweets?

No, the mean number of sweets may or may not be equal to someone starting with that quantity originally..

Multiple Choice

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

Does the total number of sweets change?

• Yes

• No

All students brought some sweets. Vani bought the most number Those who brought more gave to those who brought less until everyone has the same no. of sweets (x)

Does the total number of sweets change?

No.

The excess sweets from the students who brought more are distributed to those who brought less, without any sweets being added or removed.

Hence, this number of sweets remains equal.

Open Ended

Does 0.4 balls per students make sense?

Why or why not?

​In 2018, average household size is 3.24 persons

What does it mean?

How can we interpret it more meaningfully

Subject | Subject

Some text here about the topic of discussion

​In 2018, average household size is 3.24 persons

​It means that there are 324 people in 100 households.

The “average household size” is obtained by dividing the number of persons in households by the number of households. Hence, it need not be an integer.

mean freq distribution.MP4 - Google Drive

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​Click on https://drive.google.com/file/d/1NtGd5eSZJLIoNoa6JulBGt-7DR72mC3E/view?usp=sharing

​Continue to do practice Now 6 of TB questions

​Continue to do practice Now 6 of TB questions

​Continue to do practice Now 6 of TB questions

​Note:

it is common for mean not be a whole number!

Calculating mean for grouped data

mean grouped data.MP4 - Google Drive

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Homework:

WB Pg 117 to 112 Worksheet 14A

Q2, 3, 5a, 14, 15