As part of a biology experiment Thabo caught and weighed 120 minnows. He used his calculator to find the mean and standard deviation of their weights. Mean 26.231g Standard deviation 4.023 g (i) Find the total weight, x, of Thabo's 120 minnows. Σ x² to find x² for 2*- (ii) Use the formula standard deviation = Thabo's minnows. Another member of the class, Sharon, did the same experiment with minnows caught from a different stream. Her results are summarised by: n = 80 x= 25.214 standard deviation = 3.841 Their teacher says they should combine their results into a single set but they have both thrown away their measurements

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12 As part of a biology experiment Thabo caught and weighed 120 minnows. He
used his calculator to find the mean and standard deviation of their weights.
Mean
26.231g
Standard deviation
4.023 g
(i) Find the total weight, x, of Thabo's 120 minnows.
Σ
- to find Σ> for
(ii) Use the formula standard deviation =
Thabo's minnows.
Another member of the class, Sharon, did the same experiment with
minnows caught from a different stream. Her results are summarised by:
n= 80
x= 25.214 standard deviation = 3.841
Their teacher says they should combine their results into a single set but they
have both thrown
away
their measurements.
(iii) Find n, Ex and Ex² for the combined data set.
(iv) Find the mean and standard deviation for the combined data set.
Transcribed Image Text:12 As part of a biology experiment Thabo caught and weighed 120 minnows. He used his calculator to find the mean and standard deviation of their weights. Mean 26.231g Standard deviation 4.023 g (i) Find the total weight, x, of Thabo's 120 minnows. Σ - to find Σ> for (ii) Use the formula standard deviation = Thabo's minnows. Another member of the class, Sharon, did the same experiment with minnows caught from a different stream. Her results are summarised by: n= 80 x= 25.214 standard deviation = 3.841 Their teacher says they should combine their results into a single set but they have both thrown away their measurements. (iii) Find n, Ex and Ex² for the combined data set. (iv) Find the mean and standard deviation for the combined data set.
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