There was a berry-picking contest at the Earth Day celebration this year. The line plot below shows the number of pints of berries collected by the people participating in the contest.
A Stem graph has a line from 5 through 12 in increments of 1.
Two
a. What is the median of the data displaced on the line plot?
b. How many people participated in the contest?
A. 9 pints; 12 people
B. 8 pints; 11 people
C. 7 pints; 13 people
D. 8 pints; 13 people
A. To find the median, we need to arrange the data in order from least to greatest. Counting the number of X's on the line plot, we can see that there are a total of 24 data points. The middle value would be the 12th data point. Looking at the line plot, we can see that the 12th data point corresponds to 9 pints. Therefore, the median is 9 pints.
B. To find the number of people who participated in the contest, we need to count the number of X's on the line plot. Counting them up, we can see that there are a total of 12 X's. Therefore, 12 people participated in the contest.
So the answer is A. 9 pints; 12 people.
To find the median of the data displayed on the line plot, we need to find the middle value. Since the line plot has a line from 5 through 12 in increments of 1, we can determine the middle value by identifying the point that divides the data into two equal parts.
The data points on the line plot are:
5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 10, 12
To find the median, we count the number of data points, which is 13. Since there is an odd number of data points, the median will be the value in the middle position, which is the 7th data point.
The 7th data point is 7 pints. Therefore, the median of the data displayed on the line plot is 7 pints.
To find the number of people who participated in the contest, we need to count the total number of data points on the line plot. In this case, there are 13 data points. Therefore, the number of people who participated in the contest is 13 people.
So, the correct option is:
C. 7 pints; 13 people
To find the median of the data displayed on the line plot, follow these steps:
1. Locate the middle value on the line plot. Since there are 12 people on the plot, the middle value will be the 6th value.
2. Count the number of pints corresponding to the 6th value on the line plot. Based on the line from 5 through 12 in increments of 1, the 6th value is 10 pints.
Therefore, the median of the data is 10 pints.
To determine the number of people who participated in the contest, count the total number of data points on the line plot, which is 12 people.
So the correct answer is:
A. 9 pints; 12 people.