4. A poultry farmer weighed the 200 eggs which his chickens laid in a week and recorded the data (to the nearest gram) in the distribution below Mass of egg (g) | Total no. of eggs 30 – 34 13 - 35 – 39 21 40 – 44 33 45 – 49 10 50 - 54 16 55 – 59 38 - 60 – 64 23 | 65 – 69 28 70 – 74 11 - 75 – 79 7 a. Using an assumed mean of A = 57, calculate: i. The mean of the distribution ii. The standard deviation of the distribution b. Construct an ogive for the given distribution

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4. A poultry farmer weighed the 200 eggs which his chickens laid in a week and
recorded the data (to the nearest gram) in the distribution below
Mass of egg (g) | Total no. of eggs
30 – 34
13
35 – 39
21
40 – 44
33
45 – 49
10
50 – 54
16
55 – 59
38
60 – 64
23
65 – 69
28
70 – 74
11
75 – 79
7
a. Using an assumed mean of A = 57, calculate:
i.
The mean of the distribution
ii.
The standard deviation of the distribution
b. Construct an ogive for the given distribution
1 1
1
5. Three men at a shooting range have probabilities
and
4
3
of hitting a bull’s eye
with one shot. Each man fires one shot. Find, correct to three decimal places, the
probability that only one man hits the bull's
eye.
Transcribed Image Text:4. A poultry farmer weighed the 200 eggs which his chickens laid in a week and recorded the data (to the nearest gram) in the distribution below Mass of egg (g) | Total no. of eggs 30 – 34 13 35 – 39 21 40 – 44 33 45 – 49 10 50 – 54 16 55 – 59 38 60 – 64 23 65 – 69 28 70 – 74 11 75 – 79 7 a. Using an assumed mean of A = 57, calculate: i. The mean of the distribution ii. The standard deviation of the distribution b. Construct an ogive for the given distribution 1 1 1 5. Three men at a shooting range have probabilities and 4 3 of hitting a bull’s eye with one shot. Each man fires one shot. Find, correct to three decimal places, the probability that only one man hits the bull's eye.
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