Histograms

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Show your work for each problem.

1.
What makes a histogram different from a bar graph?
1. a)Bars are different colors
2. b)Bars are horizontal
3. c)Bars touch each other
4. d)Bars are taller
2.
A histogram shows test scores. The interval has a bar height of . What does this mean?
1. a)Students scored 8 points each
2. b)8 is the highest score
3. c)The average score is 8
4. d)8 students scored between 60 and 69
3.
A histogram has 3 bars with frequencies , , and . What is the total number of data points?
4.
Which type of data is best displayed using a histogram?
1. a)Names of countries
2. b)Types of pets
3. c)Favorite pizza toppings
4. d)Heights of students in cm
5.
In a histogram, the intervals are: , , . What is the width of each interval?
6.
A histogram shows ages of visitors: 0-10 (15), 10-20 (28), 20-30 (32), 30-40 (18), 40-50 (7). How many visitors are under 30 years old?
7.
A value of needs to be placed in a histogram. The intervals are , , . Which interval should it go in?
1. a)10-20
2. b)30-40
3. c)20-30
4. d)None of these
8.
Data ranges from 12 to 47. Create 5 equal intervals for a histogram.
9.
A histogram shows weights in kg: 50-60 (8), 60-70 (15), 70-80 (22), 80-90 (10), 90-100 (5). What percentage of data is in the 70-80 interval? Round to the nearest whole number.
10.
A histogram has most of its bars on the right side with a tail extending to the left. What is this distribution called?
1. a)Symmetric
2. b)Left-skewed (negatively skewed)
3. c)Right-skewed (positively skewed)
4. d)Uniform
11.
A histogram shows exam scores: 0-20 (3), 20-40 (7), 40-60 (18), 60-80 (15), 80-100 (7). Find the modal class (interval with highest frequency).
12.
A histogram shows daily temperatures in °C: 10-15 (4), 15-20 (9), 20-25 (12), 25-30 (8), 30-35 (2). What is the estimated mean temperature? Use midpoints.
13.
A histogram shows running times in minutes: 20-25 (6), 25-30 (14), 30-35 (18), 35-40 (9), 40-45 (3). How many runners finished in less than 35 minutes?
14.
Two histograms show test scores. Class A: 0-20 (5), 20-40 (15), 40-60 (20), 60-80 (8), 80-100 (2). Class B: 0-20 (2), 20-40 (6), 40-60 (12), 60-80 (18), 80-100 (12). Which class performed better and why?
15.
A histogram shows the ages of people at a birthday party: most bars are on the left with one tall bar around 10-15 and a small bar far on the right around 70-80. What type of event is this likely describing?
1. a)A college graduation
2. b)A child's birthday party with a grandparent
3. c)A retirement party
4. d)A wedding
16.
A histogram has 6 equal intervals. The frequencies are: , , , , , . What fraction of the total data falls in the middle two intervals? Express as a simplified fraction.