Plzz explain a and b

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Plzz explain a and b
8. The numbers of defective items in successive groups of fifteen items were
counted as they came off a production line. The results can be summarized as
follows:
No. of Defectives
Frequency
57
1
57
18
3
5
4
3
>4
a) Calculate the mean number of defectives in a group of fifteen items.
b) Calculate the variance and standard deviation of the number of defectives in
a group. Take the given data as a sample.
c) Find the median, lower quartile, upper quartile, ninth decile, and 95th
percentile.
d) On the basis of these data estimate the probability that the next item pro-
duced will be defective.
Transcribed Image Text:8. The numbers of defective items in successive groups of fifteen items were counted as they came off a production line. The results can be summarized as follows: No. of Defectives Frequency 57 1 57 18 3 5 4 3 >4 a) Calculate the mean number of defectives in a group of fifteen items. b) Calculate the variance and standard deviation of the number of defectives in a group. Take the given data as a sample. c) Find the median, lower quartile, upper quartile, ninth decile, and 95th percentile. d) On the basis of these data estimate the probability that the next item pro- duced will be defective.
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