Question

5
the dot plots below show the number of hours that part - time employees worked at two stores last week.
store 1
store 2
25 26 27 28 29 30 31
number of hours
12 13 14 15 16 17 18
number of hours
the variability at each store is 1.85. the difference between the mode number of hours worked per employee at each store is approximately how many times the variability?
a. 4
b. 5
c. 3
d. 6
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Explanation:

Step1: Find the mode of each store

For Store 1, the mode (most frequent) number of hours is 27 (since the dots at 27 are the most). For Store 2, the mode number of hours is 16 (since the dots at 16 are the most).

Step2: Calculate the difference between the modes

Difference = \( |27 - 16| = 11 \)

Step3: Determine how many times the variability (1.85) fits into the difference

We calculate \( \frac{11}{1.85} \approx 5.95 \), which is approximately 6? Wait, no, wait. Wait, maybe I made a mistake. Wait, Store 1's mode: looking at the dot plot, Store 1 has hours 25,26,27,28,29,30,31. The number of dots: 25 has, say, 7? 26 has 5? 27 has 8? Wait, no, maybe I misread. Wait, the problem says "the variability at each store is 1.85". Wait, maybe the mode of Store 1 is 27, Store 2 is 16. Difference is 27 - 16 = 11. Then 11 divided by 1.85 is approximately 5.95, which is about 6? But wait, maybe I messed up the modes. Wait, let's check again. Store 1: the dot plot for Store 1: 25, 26, 27, 28, 29, 30, 31. Let's count the dots: 25: 7, 26: 5, 27: 8, 28: 4, 29: 4, 30: 5, 31: 7? Wait, no, maybe the mode is 27 (highest number of dots). Store 2: 12,13,14,15,16,17,18. Dots: 12:3,13:3,14:3,15:0,16:7,17:3,18:5? Wait, no, 16 has the most dots (7). So mode of Store 2 is 16, Store 1 is 27. Difference is 11. 11 / 1.85 ≈ 5.95, which is approximately 6? But the options are 4,5,3,6. Wait, maybe I made a mistake in the mode. Wait, maybe Store 1's mode is 27, Store 2's mode is 16. 27 - 16 = 11. 11 / 1.85 ≈ 5.95, which is about 6. But let's check the calculation again. Wait, 1.85 * 6 = 11.1, which is close to 11. So the answer is D? Wait, but maybe I misread the modes. Wait, maybe Store 1's mode is 27, Store 2's mode is 16. Difference 11. 11 / 1.85 ≈ 6. So the answer is D? Wait, but let's check the options. Wait, the options are A.4, B.5, C.3, D.6. So 11 / 1.85 ≈ 6, so D. But wait, maybe I made a mistake. Wait, maybe the mode of Store 1 is 27, Store 2 is 16. Difference 11. 11 divided by 1.85 is approximately 6. So the answer is D.

Answer:

D. 6