Here are some summary statistics for annual snowfall in a certain town compiled over the last 15 years: lowest $\text { amount } = 19$ cm, $\text { mean } = 47$ cm, $\text { median } = 40$ cm, $$\text { range } = 81$$ cm, $\mathrm { IQR } = 54$ $\mathrm { Q } 1 = 19 \text {, }$ standard $\text { deviation } = 10$ cm.Suppose snowfall was tracked for 5 additional years and the annual snowfall was found to increase by 20%.Find the new mean and standard deviation.
A)Mean: 9.4 cm,SD: 2 cm
B)Mean: 37.6 cm,SD: 10 cm
C)Mean: 56.4 cm,SD: 10 cm
D)Mean: 37.6 cm,SD: 8 cm
E)Mean: 56.4 cm,SD: 12 cm

Question

Quizplus · Accepted Answer

When all data points increase by a percentage, the mean increases by the same percentage, but the standard deviation also increases by that percentage. The new mean is $47 \times 1.2 = 56.4$ cm, and the new standard deviation is $10 \times 1.2 = 12$ cm.

Here Are Some Summary Statistics for Annual Snowfall in a Certain