Am I able to get help on this please

Question

If the average low temperature of a winter month in Rochester, NY is 18∘ and the standard deviation is 7.9, then according to Chebyshev's theorem, the percentage of average low temperatures in Rochester, NY between 2.2∘ and 33.8∘ is at least  %.

Answer 1

Chebyshev's Theorem has it that (no matter what the distribution of data) at least

(1 − 1/k²) × (100%) of the values will fall within k standard deviations of the

mean (where k is greater than 1).

Here establish

μ + σk equals range upper bound.

μ − σk equals range lower bound.

as

18 + 7.9k = 33.8

18 − 7.9k = 2.2

which simplifies to

15.8k = 31.6 or k = 2.

Then Chebyshev's Theorem gives the least percentage

of mean low temperatures in Rochester between 2.2° & 33.8°

as (1 − 1/2²) × (100%) or 3/4 times 100% or 75%.