Question

question 13, 2.2.34
part 2 of 2
hw score: 95%, 15.2 of 16 points
points: 0.2 of 1
display the accompanying data in a dot plot. describe the differences in how the stem-and-leaf plot and the dot plot show patterns in the data.
click the icon to view the data.
construct a dot plot. choose the correct graph below
options a, b, c, d with dot plot graphs
describe the differences between the stem-and-leaf plot and the dot plot in how they present data.
the stem-and-leaf plot shows that most data values are between 16 and 27. the dot plot shows that the values 2.6 and 3.2 occur the most often, with blank occurring the most frequently

Explanation:

Step1: Analyze Stem-and-Leaf Plot

Stem - and - leaf plots group data by stems (tens place, for example, if data is two - digit) and show leaves (units place) to give a sense of data distribution in intervals. Here, it shows the range of most data values (between 16 and 27 as per the given).

Step2: Analyze Dot Plot

Dot plots show individual data points as dots on a number line. The dot plot here shows that values 2.6 and 3.2 occur most often, and we need to find which one occurs most frequently. From the dot - plot's visual (assuming the data is about decimal values, and looking at the peaks), if we assume the data is like 2.6, 3.2 etc., and from the dot - plot's dots, the value with the most dots (highest frequency) among 2.6 and 3.2 (or other values) - if we consider the typical dot - plot for such data, usually the value with the tallest stack of dots. If we assume the data is, for example, in the context of the dot - plot options (where x - axis is 0 - 4 or 0 - 40 etc., but the last blank is for the most frequent value among the ones around 2.6 and 3.2, likely 2.6 or 3.2. But from the stem - and - leaf plot's data range (16 - 27) being converted to decimal (maybe 1.6 - 2.7? Wait, maybe a mis - scale. Wait, the dot - plot x - axis in option A is 0 - 4, with peaks at 1 - 2. Wait, maybe the data is in tenths. So if stem - and - leaf has stems as 1, 2, 3 (tens place as 1, 2, 3 in tenths? No, maybe stem is the whole number part. So stem 1, leaf 6 means 1.6, stem 2, leaf 7 means 2.7. Then the dot - plot for such data: if the dot - plot has dots at 2.6 and 3.2, and we need to find which is most frequent. Let's assume that from the dot - plot, the value with the maximum number of dots. If we look at the first dot - plot option (A) has peaks at 1 - 2, but the selected option is C? Wait, the user has a checkmark on C. Wait, maybe the data is about values like 2.6, 3.2, and the most frequent is 2.6 or 3.2. Wait, maybe the stem - and - leaf plot has data like 16, 17,..., 27 (whole numbers), and the dot - plot is a scaled version (divided by 10, so 1.6, 1.7,..., 2.7). Then the dot - plot shows values around 2.6 and 3.2 (wait, 3.2 would be stem 3, leaf 2). But the stem - and - leaf plot says most data is between 16 and 27 (so 1.6 - 2.7 in dot - plot). Wait, maybe the last blank is for the value with the highest frequency, say 2.6 (or 3.2, but likely 2.6 if the stem - and - leaf is 16 - 27, so dot - plot around 1.6 - 2.7, so 2.6 is in that range. Wait, maybe the correct value is 2.6 (or 3.2, but let's think again. The stem - and - leaf plot groups data by stems (e.g., stem 1, 2, 3) and leaves (units), so it shows the distribution in terms of intervals (stems). The dot - plot shows individual data points, so we can see the exact frequency of each value. So if the dot - plot has dots for 2.6 and 3.2, and we need to find which occurs most. Let's assume that from the dot - plot, the value with the most dots is 2.6 (or maybe 3.2, but let's check the options. Wait, the problem says "with [blank] occurring the most frequently". Let's assume that in the dot - plot, the value 2.6 (or 3.2) has the highest number of dots. Let's say the correct value is 2.6 (or maybe 3.2, but let's go with the stem - and - leaf's range 16 - 27, so dot - plot around 1.6 - 2.7, so 2.6 is in that range, so maybe 2.6. But maybe the data is different. Wait, maybe the stem - and - leaf plot has data like 26, 27, 32, etc. (stem 2, leaf 6; stem 2, leaf 7; stem 3, leaf 2). Then the dot - plot for 2.6, 2.7, 3.2. Then the most frequent would be 2.6 if there are more dots on 2.6. But since the user's checkmark is on option C, maybe the dot - plot in C has the highest frequency at 2.6 or 3.2. Wait, maybe the answer is 2.6 (or 3.2, but let's proceed).

Answer:

The stem - and - leaf plot shows that most data values are between 16 and 27. The dot plot shows that the values 2.6 and 3.2 occur the most often, with \(\boldsymbol{2.6}\) (or \(\boldsymbol{3.2}\) depending on the data's dot - plot distribution) occurring the most frequently. (If we assume the data is such that 2.6 has more dots, then 2.6; if 3.2, then 3.2. But likely 2.6 as per the stem - and - leaf's range 16 - 27 (2.6 is 26/10, 3.2 is 32/10, so 26 is in 16 - 27, 32 is outside, so maybe 2.6))