# Frequency distribution and histograms

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##### Intros

##### Examples

###### Lessons

**Constructing Frequency Distribution Table and Histograms**

Listed below are the heights of a class of $7^{th}$ graders:

119

116

120

134

119

117

115

122

125

124

128

122

135

126

135

120

112

119

115

124

120

117

123

140

125

130

113

128

125

115

131

122

120

138

116

- Construct a frequency distribution table based on the data set above with the following information:

1) class (set class width as 4 and lower limits of the classes as multiples of 4)

2) frequency

3) relative frequency

4) cumulative frequency

- From the frequency distribution table in the previous part, construct a histogram. Use class midpoints on $x$-axis and frequency on $y$-axis.

- Construct a frequency distribution table based on the data set above with the following information:
**Interpreting Histograms**

Answer the questions based on the histogram below.

- The histogram below shows the average daily cholesterol intake of 40 people.

- What will change in the histogram if class midpoints are used on $x$-axis?
- What will change in the histogram if relative frequency is used on $y$-axis?
- What will change in the histogram if cumulative frequency is used on $y$-axis?
- What kind of interpretations can be made from the cumulative frequency histogram?