Question

1. (l138) how many inches of snow fell in december and january combined? a) 15 inches b) 17 inches c) 35 inches d) 45 inches e) none of the above answer the following questions using the data given in the step - and - leaf plot below. the stems represent tens, and the leaves represent ones. stem leaf 1 0 1 5 2 1 3 4 3 3 4 6 6 4 0 1 4 5 1 2 3 4 6 0 1 1|5 = 15 23. (l138) how many numbers have a 1 for the ones digit? find the mode of the data. a) 5 numbers; mode = 36 b) 6 numbers; mode = 15 c) 4 numbers; mode = 6 d) 6 numbers; mode = 5 e) none of the above

Explanation:

Step1: Identify snow - fall data for December and January

We are not given which data points represent December and January. But we assume we need to sum all the data values from the stem - and - leaf plot. The data values are: 10, 11, 15, 21, 23, 24, 33, 34, 36, 36, 40, 41, 44, 51, 52, 53, 54, 60, 61.

Step2: Calculate the sum

\[

$$\begin{align*} &10 + 11+15+21+23+24+33+34+36+36+40+41+44+51+52+53+54+60+61\\ =&(10 + 11+15)+(21+23+24)+(33+34+36+36)+(40+41+44)+(51+52+53+54)+(60+61)\\ =&36+68+139+125+210+121\\ =&699 \end{align*}$$

\]
Since this is not among the options, for the first question, the answer is e) None of the above.

Step3: Count numbers with 1 as the ones digit

The numbers with 1 as the ones digit are 11, 21, 41, 51, 61. So there are 5 such numbers.

Step4: Find the mode

The mode is the number that appears most frequently. In the data - set, 36 appears twice and all other numbers appear only once. So the mode is 36.

Answer:

1. e) None of the above
2. a) 5 numbers; mode = 36