A marine biologist records a frequency list of the lengths (L), measured to the nearest centimeter, of 100 mackerel (fish). The results are given in the following table a) Complete the table with the cumulative frequency b) Draw the cumulative frequency diagram (use the upper limit as abscissa, use the grid) c) Find the median of the lengths of the fish.

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5) A marine biologist records a frequency list of the lengths (L), measured to the nearest centimeter, of 100 mackerel (fish). The results are given in the following table

a) Complete the table with the cumulative frequency
b) Draw the cumulative frequency diagram (use the upper limit as abscissa, use the grid)

c) Find the median of the lengths of the fish.

d) Calculate the interquartile range

e) What percentage of the fish is longer than 39 cm?

f) If it is decided to sell 20% in the local market, taking into account the smallest fish, what is the length of this group.

g) The largest are sold to important Supermarkets, of which 45% are chosen, so what is the length of the fish sold?

h) Estimate the standard deviation

i) How many fish are two standard deviations above the mean?

j) The company must pay a fine if more than 10% of the catch is less than 30 cm, calculate and decide if the company must pay such a fine

Length of mackerel
(Z cm)
27 <1 ≤ 29
29 <L≤ 31
31 <L≤ 33
33 <L≤35
35 <L≤37
37 <L≤39
39 <1 ≤ 41
41 <1 ≤ 43
Number of
mackerel
2
4
8
21
30
18
12
5
100
F.ACUMULA
DA
Transcribed Image Text:Length of mackerel (Z cm) 27 <1 ≤ 29 29 <L≤ 31 31 <L≤ 33 33 <L≤35 35 <L≤37 37 <L≤39 39 <1 ≤ 41 41 <1 ≤ 43 Number of mackerel 2 4 8 21 30 18 12 5 100 F.ACUMULA DA
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