An illustration shows two sets of dot plots. One is titled Gas Mileage in miles per gallon, Cars and the other is Gas Mileage in miles per gallon, S U Vs. The plots are shown as dots in a vertical row over each number on a number line. For Cars, a number line with arrows on both ends ranges from 18 to 22 in increments of 1. There is 1 dot above 18, 2 dots above 19, 3 dots above 20, 2 dots above 21, and 1 dot above 22. For S U Vs, a number line with arrows on both ends ranges from 21 to 25 in increments of 1. There is 1 dot above 21, 1 dot above 22, 2 dots above 23, 2 dots above 24, and 3 dots above 25.
The dot plots show the gas mileage for randomly selected cars and SUVs. Which data values do both distributions have in common?
(1 point)
The data value in common for both distributions with the lowest number is .
The data value in common for both distributions for the highest number is .
The data value in common for both distributions with the lowest number is 21.
The data value in common for both distributions for the highest number is 22.
Fifteen students are randomly selected from two different classes. They were asked how many books they read during the summer. Their responses are as follows. Find the median number of books read by each class. Which class has a higher median number of books read?
Class 1: 0, 5, 3, 6, 7, 8, 10, 1, 1, 4, 5, 6, 4, 5, 6
Class 2: 2, 2, 4, 3, 0, 0, 6, 7, 10, 9, 6, 5, 3, 1, 2
(2 points)
The median number of books read during the summer by Class 1 is .
The median number of books read during the summer by Class 2 is .
Class has a higher median number of books read during the summer.
To find the median, we first need to arrange the data in order:
Class 1: 0, 1, 1, 3, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 10 (15 values)
Class 2: 0, 0, 1, 2, 2, 2, 3, 3, 4, 5, 5, 6, 6, 7, 9, 10 (15 values)
For Class 1 (odd number of values), the median is the middle value:
Median for Class 1 = 5
For Class 2 (odd number of values), the median is the middle value:
Median for Class 2 = 3
Comparing the medians, we find that Class 1 has a higher median number of books read during the summer.
Two number lines extend from 41 to 50 in increments of 1 and are labeled as Dataset A and Dataset B. The number lines show an abacus-like representation with columns of open circles over the numbers. Above the number line labeled Dataset A, there are four circles over 41, five circles over 42, seven circles over 43, four circles over 44, two circles over 45, one circle over 46, one circle over 47, three circles over 48, two circles over 49, and one circle over 50. Above the number line labeled Dataset B, there is one circle over 41, three circles over 42, three circles over 43, five circles over 44, four circles over 45, six circles over 46, seven circles over 47, four circles over 48, two circles over 49, and one circle over 50.
Two datasets of numbers from 41 to 50 are displayed in two dot plots. Compare the shapes and spreads of the dot plots. What conclusions can you draw about the shapes and the spreads?
(1 point)
Responses
Dataset A and Dataset B have equal spreads. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 42. Dataset B has a peak at 46.
Dataset A and Dataset B have equal spreads. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 42. Dataset B has a peak at 46.
Dataset A and Dataset B have equal spreads. Dataset A is skewed left, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Dataset A and Dataset B have equal spreads. Dataset A is skewed left, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Dataset A has a greater spread than Dataset B. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Dataset A has a greater spread than Dataset B. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Dataset A and Dataset B have equal spreads. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Dataset A and Dataset B have equal spreads. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 43. Dataset B has a peak at 47.
Based on the description provided, it appears that Dataset A and Dataset B have equal spreads. Dataset A is skewed right (since it has a longer tail on the right), while Dataset B is symmetrical. Dataset A has a peak at 42, and Dataset B has a peak at 46.
Therefore, the correct conclusion is:
Dataset A and Dataset B have equal spreads. Dataset A is skewed right, and Dataset B is symmetrical. Dataset A has a peak at 42. Dataset B has a peak at 46.