Question

This data shows the number of sit-ups done by 27 students in a gym class.

58 62 49 52 75 86 88 54 56 61 85 48 77 60 47 58 62 73 78 69 65 84 59 67 53 84 50
Question
Which histogram represents the data?
Answer options with 4 options
A.
A histogram.Short description, A histogram.,Long description,
The histogram entitled Sixth Grade Sit-ups shows Number of Sit-Ups on the x-axis and Number of Students on the y-axis.
40 to 49 sit-ups; 4 students.
50 to 59 sit-ups; 5 students.
60 to 69 sit-ups; 6 students.
70 to 79 sit-ups; 7 students.
80 to 89 sit-ups; 8 students.
C.
A histogram.Short description, A histogram.,Long description,
The histogram entitled Sixth Grade Sit-ups shows Number of Sit-Ups on the x-axis and Number of Students on the y-axis.
40 to 49 sit-ups; 3 students.
50 to 59 sit-ups; 8 students.
60 to 69 sit-ups; 7 students.
70 to 79 sit-ups; 4 students.
80 to 89 sit-ups; 5 students.
B.
A histogram.Short description, A histogram.,Long description,
The histogram entitled Sixth Grade Sit-ups shows Number of Sit-Ups on the x-axis and Number of Students on the y-axis.
40 to 49 sit-ups; 3 students.
50 to 59 sit-ups; 7 students.
60 to 69 sit-ups; 6 students.
70 to 79 sit-ups; 3 students.
80 to 89 sit-ups; 4 students.
D.
A histogram.

Answer 1

To find the appropriate histogram for the sit-ups data set, the data is sorted and tallied into intervals, with a frequency count for each. Matching the tally with the given options reveals Option C as the correct histogram representation of the data.

Step-by-step explanation:

To determine which histogram best represents the data set of sit-ups completed by 27 students, we first need to tally the data into intervals. The intervals should cover the range of data points in the set. Each histogram option represents a different tally of the data points into specific intervals. By carefully analyzing the given options and the provided data, we can create a frequency distribution and compare it with the options to identify the correct histogram.

• 40 to 49 sit-ups
• 50 to 59 sit-ups
• 60 to 69 sit-ups
• 70 to 79 sit-ups
• 80 to 89 sit-ups

The steps are as follows:

1. Sort the data points into the respective intervals.
2. Count the number of data points within each interval to find frequency.
3. Compare the frequency count of each interval with the provided histogram options.

After tallying, we find the frequency distribution:

• 40 to 49 sit-ups: 3 students
• 50 to 59 sit-ups: 8 students
• 60 to 69 sit-ups: 7 students
• 70 to 79 sit-ups: 4 students
• 80 to 89 sit-ups: 5 students

Comparing this with the given histogram options, we can conclude that the histogram that matches this distribution is Option C.