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# GDB for STA301 - Statistics and Probability

“A 5 feet tall person wants to cross a canal. He is told by the person sitting at the bank of canal that on average canal is 4.5 feet deep. Is this information sufficient for the person to cross the canal or he needs some other measure before going to pass the canal”.

Graded Discussion Board (GDB) for STA301 will be opened on January 15, 2014 and will remain open till January 16, 2014

NOTE: Your comments MUST be posted with in due date and it will NEVER be accepted through e-mail.

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### Replies to This Discussion

This information is not enough for him i.e to know about average depth only.4.5 feet is average depth of canal.it means there may be variation in depths at certain places.somewhere depth may be 6 feet.and then depth may suddenly decrease.if depth is more than his height somewhere then he will not be able to cross the canal.he needs to know about variation in depths.statistically speaking he needs to know about measure of dispersion.as we are concerned with average(mean) depth here and in common life we mostly talk about arithmetic mean.so he needs to know about mean deviation.this measure will tell him dispersion of values around mean.he also needs to know about range which is difference of minimum value Xo and extreme value Xm.

it is surely needs some measurments.

i think nhi ku k wo hud 5 feet tall h n canal is just 4.5 he can cross easily

it is not cross the canal the average depth is 4.5 not the canal are straight

kesi jagha us ki depth km ya zyada b ho skti ha

Plz share solution. kuch samaj ni araha mjy

Mooj Marooo G

As the statement is very simple without any conditions. So this man will be required some more information and can adopt certain options to cross the canal: Lets discuss one by one:

1. The method to cross the canal is not restricted or mentioned so this man have the freedom to choose any of the below:

a. He can swim through the canal:

He can swim through the canal (as standard canals are 08-10 Mtrs in width) to reach on another end. But it's important that he must know how to swim.

b. He can walk through the canal:

The information which is provided in question statement is not enough and supportive to let this man make a decision to walk through the canal. The average depth of canal is 4.5 feet means, a central or point of averaged is having the depth of 4.5 feet where as there will be other data points of depth which would be required to know means to know the measure of dispersion of the depth values. so in this regard it would be enough if he knows:

- The minimum Value (X0) and the maximum value (Xm) of the canal depth. In general, he must only know the maximum depth (Xm) to compare with his height so water should not over the head.

- Other logical way is to have the all data points of the sample space and as his height (h) is the minimum average to safely walk through the canal so int his regard he must construct the data set of differences between his height (as average) and the each value of measurement of depth point. like:

Height of Man = h

Depth value = x

So difference = x-h

The values in Plus will alert the man where water will over flow on his head.

There can be more to discuss but i think its enough.

snipper has the best answer... i recmend it

snipper??

to ap k kah rae han k mini value n maxi valu ka difrnc z the answer of this gdb????????

bss???

aslam o alikum!

i don't think so amna(mcs).

plz provide a proper answer with strong reasons.

The chapters which you will study for the GDB topic are "Measure of Central Tendency" and "Measure of Dispersion"

u mean in chapters mein  sy answer mil jay ga.

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