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Lostsunrise [7]
2 years ago
13

Ninety-five percent of all marigold flowers have a height between 10.9cm and 119.0cm and their height is normally distributed wh

at’s the mean?
Mathematics
1 answer:
Archy [21]2 years ago
4 0

Answer: mean = 64.95

Step-by-step explanation:

According to the Empirical rule , 95% of the population lies with 2 standard deviations from the mean when data is normally distributed.

Given:  95% of all marigold flowers have a height between 10.9 cm and 119.0 cm.

If height is normally distributed , then

Mean - 2 standard deviation = 10.9    (i)

Mean + 2 standard deviation = 119.0    (ii)

Add (i) and (ii), we get

2 Mean = 10.9+119.0

⇒ 2 Mean = 129.9

⇒   Mean = 64.95  [divide both sides by 2]

So, mean = 64.95

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