Question

histogram checklist:
title the histogram
bars are connected
label the y - axis
equal/ constant intervals
label the x - axis
draw and color the bar
histogram practice
below is how many hours each student spent on their cell phone yesterday.
1 3 4 4 5 5 6 6 6 6 7 7 9 9 9 9 9 10 11 13
1 3 9 5 5 9 8 7 9 7 4 9 11 10 4 6 13 9 6 6
create a histogram of this set of data.
interval frequency
0 1
1 1
2 1
3 1
4 1

1. which interval has the most students? 2 - 4 hours
2. if a new student enters our class, their cell phone use would most likely be in the 2 - 4 hours interval because it is the most frequent interval
3. what percent of the data is held in the smallest interval? 5% % total

Explanation:

Step1: List data points

1,3,4,4,5,5,6,6,6,7,7,9,9,9,9,10,11,13,8,9,5,5,9,8,7,9,7,4,9,11,10,4,6,13,9,6,6 (36 total)

Step2: Define equal intervals (2-hour)

0-2, 2-4, 4-6, 6-8, 8-10, 10-12, 12-14

Step3: Calculate frequencies

0-2:1, 2-4:1, 4-6:8, 6-8:10, 8-10:10, 10-12:4, 12-14:2

Step4: Identify max interval (Q1)

6-8 and 8-10 (10 students each)

Step5: Most likely interval (Q2)

Mode interval: 6-8 or 8-10

Step6: Smallest interval percent (Q3)

Smallest frequency=1, Total=36, (1/36)×100≈2.78% (adjust if intervals differ)

Answer:

1. 6-8 hours (or 8-10 hours, depending on interval definition)
2. 6-8 hours (most frequent interval)
3. Approximately 2.78% (if smallest frequency=1 and total=36)