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Answer :
So, the mean mass of the sugar in the 8 packets is[tex]\(\frac{147}{400}\)[/tex] grams or 3.675 grams."
To calculate the mean mass of the sugar in the 8 packets, we need to sum the individual masses and then divide by the number of packets.
The individual masses are: 3.4 grams, 4.3 grams, 2.4 grams, 2.4 grams, 4.2 grams, 4.3 grams, 4.3 grams, and 3.5 grams.
The sum of these masses is:
[tex]3.4 + 4.3 + 2.4 + 2.4 + 4.2 + 4.3 + 4.3 + 3.5 = 29.4 grams[/tex]
Now, we divide this sum by the number of packets, which is 8:
29.4 grams / 8 packets = 3.675 grams
Therefore, the mean mass of the sugar in the packets is 3.675 grams.
Expressing the mean mass in a fraction, we have:
3.675 grams = 3675/1000 grams = 147/400 grams
So, the mean mass of the sugar in the 8 packets is[tex]\(\frac{147}{400}\)[/tex] grams or 3.675 grams."
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Rewritten by : Barada
To find the mean, first, we have to sum all the masses.
[tex]\begin{gathered} \Sigma x_i=3.4+4.3+2.4+2.4+4.2+4.3+4.3+3.5 \\ \Sigma x_i=28.8 \end{gathered}[/tex]Then, we divide this sum by the total number of masses which is 8.
[tex]\bar{x}=\frac{28.8}{8}=3.6[/tex]