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A-Level maths (statistics) help please?

Hi, could anyone help me with this question?

Data relating to the lifetimes (to the nearest hour) of a random sample of 200 light bulbs were summarised in a grouped frequency table. The mid-point of each class in the table was represented by x and the corresponding frequency for the class by f. The data were then coded using:

y = (x-755.0)/2.5

and summarised as follows:

fy=-467, fy^2=9179

Calculate the estimates of the mean and the standard deviation of the lifetimes of this sample of bulbs.

(9 marks)

Thank you :smile:
Original post by e123c
Hi, could anyone help me with this question?

Data relating to the lifetimes (to the nearest hour) of a random sample of 200 light bulbs were summarised in a grouped frequency table. The mid-point of each class in the table was represented by x and the corresponding frequency for the class by f. The data were then coded using:

y = (x-755.0)/2.5

and summarised as follows:

fy=-467, fy^2=9179

Calculate the estimates of the mean and the standard deviation of the lifetimes of this sample of bulbs.

(9 marks)

Thank you :smile:


Answer these questions first to yourself:

How do you work out the mean of a sample?

What's the formula for working out the standard deviation?
Reply 2
Original post by RDKGames
Answer these questions first to yourself:

How do you work out the mean of a sample?

What's the formula for working out the standard deviation?


(∑fx)/∑f

√(((∑fx^2)/∑f) - ((∑fx/∑f)^2))

I understand that the mean is ∑fy/200=467/200=2.335 but still don't get how to do the standard deviation.
Reply 3
Original post by RDKGames
Answer these questions first to yourself:

How do you work out the mean of a sample?

What's the formula for working out the standard deviation?


dipshit are you here to help or not?

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