The Heights In Centimeters Of Thirty Students Are Given Below…

The heights in centimeters of thirty students are given below:

161

152

153

157

150

159

Construct a frequency table for the data. Use 8 classes. Give also the true limits of

each class interval.

152

156

158

152

152

163

149

162

162

140

147

143

152

154

156

152

154

146

147

150

151

153

158

148

Answer:

To construct a frequency table for the given data with 8 classes, we need to determine the range of the data and the width of each class interval.

Range of the data: The highest value is 163 and the lowest value is 140. Therefore, the range is 163 – 140 = 23.

Width of each class interval: To determine the width, we divide the range by the number of classes, which is 8. Therefore, the width is 23 / 8 ≈ 2.88 (rounded to 2 decimal places).

Next, we can start constructing the frequency table. We will use the lower class limit approach.

Class Interval (in cm) | True Lower Limit | True Upper Limit | Frequency

————————————————————————

140 – 142 | 140 | 142 | 1

143 – 145 | 143 | 145 | 1

146 – 148 | 146 | 148 | 2

149 – 151 | 149 | 151 | 3

152 – 154 | 152 | 154 | 6

155 – 157 | 155 | 157 | 2

158 – 160 | 158 | 160 | 3

161 – 163 | 161 | 163 | 2

Note: The true lower limit and true upper limit of each class interval are included for reference and calculation purposes.

Using the given data, we can count the number of values falling within each class interval and record it under the “Frequency” column.

The resulting frequency table for the given data with 8 classes is shown above.

i hope it helps

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