Question

miss sweeney ran a sit-up competition among her p.e. students and monitored how many sit-ups each student could do. use the data to complete the histogram below. click to set the height of the missing bar. data: 16, 39, 48, 52, 52, 63, 66, 73, 74, 86, 89, 92, 98, 99

Explanation:

Step1: Identify data in 20 - 39 range

The data points in the 20 - 39 range are 39, 52, 52? Wait, no, wait. Wait the data values are: 16, 39, 48, 52, 52, 63, 66, 73, 74, 86, 89, 92, 98, 99. Wait, no, let's list all the sit - up counts: 16, 39, 48, 52, 52, 63, 66, 73, 74, 86, 89, 92, 98, 99. Now, the 20 - 39 range: numbers between 20 (inclusive) and 39 (inclusive). So 39 is in 20 - 39? Wait 39 is ≤39, so 39 is in 20 - 39. Wait, 16 is in 0 - 19, 39 is in 20 - 39, 48 and 52,52 are in 40 - 59, 63,66 in 60 - 79, 73,74 in 60 - 79? Wait no, 60 - 79: 63,66,73,74. Then 80 - 99: 86,89,92,98,99. Wait let's re - categorize:

• 0 - 19: 16 (count = 1)
• 20 - 39: 39 (count = 1) Wait, wait, 39 is 39, so 20 - 39: 39. Wait, but wait the data points: 16, 39, 48, 52, 52, 63, 66, 73, 74, 86, 89, 92, 98, 99. Wait, 39 is in 20 - 39. Then 40 - 59: 48,52,52 (count = 3)
• 60 - 79: 63,66,73,74 (count = 4)
• 80 - 99: 86,89,92,98,99 (count = 5)

Wait the histogram has the x - axis as number of students and y - axis as number of sit - ups. The missing bar is for 20 - 39. From the data, the number of students with sit - ups in 20 - 39 is 1 (only 39). Wait, but let's check again. Wait the data: 16 (0 - 19), 39 (20 - 39), 48,52,52 (40 - 59), 63,66,73,74 (60 - 79), 86,89,92,98,99 (80 - 99). So the count for 20 - 39 is 1? Wait no, wait 39 is one, but wait is there any other? 16 is 0 - 19, 39 is 20 - 39. So the number of students in 20 - 39 is 1? Wait but the histogram's 20 - 39 bar is missing. Let's check the existing bars:

• 0 - 19: height 1 (since 16 is one student)
• 40 - 59: height 3 (48,52,52)
• 60 - 79: height 4 (63,66,73,74)
• 80 - 99: height 5 (86,89,92,98,99)

So the 20 - 39 category has 1 student (with 39 sit - ups). So the missing bar (for 20 - 39) should have a height of 1? Wait no, wait maybe I made a mistake. Wait the data points: 16, 39, 48, 52, 52, 63, 66, 73, 74, 86, 89, 92, 98, 99. Let's count the number of data points: 14. Now, sum of existing counts: 0 - 19 (1) + 40 - 59 (3) + 60 - 79 (4) + 80 - 99 (5) = 1 + 3+4 + 5=13. So the missing count (20 - 39) is 14 - 13 = 1. So the number of students in 20 - 39 is 1. So the height of the missing bar (for 20 - 39) is 1.

Step2: Set the height of the missing bar

The missing bar is for the 20 - 39 range. From the data analysis, the number of students with sit - ups in the 20 - 39 range is 1. So we set the height of the missing bar (the bar for 20 - 39) to 1.

Answer:

The height of the missing bar (for the 20 - 39 range of sit - ups) is 1. So we set the bar to have a height corresponding to 1 student.