Question

A) the average height of sunflowers in a field is 64 inches with a standard deviation of 3.5 inches. Describe a normal curve for the distribution, including the values on the horizontal axis at one, two, and three standard deviations from the mean
B) if there are 3,000 plants in the field, approximately how many will be taller than 71 inches Need Help, last question

Answer 1

A ) This is the curve of a normal distribution. The average height is 64 inches. That means :
The Mean is 64 in.
Standard deviation is: 3.5 in.
The values on the horizontal axis:
- 3 SD ( standard deviations )= 53.5,
-2 SD = 57,
- 1 SD = 60.5,
The Mean = 64,
1 SD = 67.5,
2 SD = 71;
3 SD = 74.5
B ) About 2.5% of all plants will be taller than 71 inches.
3,000 * 0.025 = 75.
Answer: 75 plants. 

Answer 2

Answer:

75 plants will be taller  

Step-by-step explanation:

Given mean = 64  and standard deviation = 3.5

To get normal curve , we find one , two and three standard deviation from the mean.

To get one standard deviation we add and subtract 3.5 from mean

-1 SD =60.5          , +1 SD = 67.5

-2 SD =57             , +2 SD = 71

-3 SD = 53.5          , +3 SD = 74.5

The graph is attached below with percentages

(b) from the graph we can see that, 2.5% are after 71

that means 2.5% plants are taller than 71 inches

3000* 2.5% = 3000*0.025 = 75

75 plants will be taller