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Some people were asked how tall they are to the nearest centimetre, and their responses are given below. 157 162 151 170 154 173 165 160 148 150 150 159 162 Choose the correct table to record their heights. Explain why the other tables are not suitable. A Height (cm) Tally 140-150 150-160 160-170 170-180 CHeight (cm) 145-149 150-154 155-159 160-161 Tally Frequency B Height (cm) Tally Frequency 140-149 150-159 160-169 170-179 Frequency D Height (cm) 155-159 160-164 165-169 Tally Frequency​

User Ionizer
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The correct table to record their heights is Table A, with the following categories:

Height (cm) | Tally

--------------|-------

140-150 | *****

150-160 | *********

160-170 | ********

170-180 | **

Table A is a frequency distribution table that groups the data into intervals or classes, and records the frequency or number of times each interval occurs. It uses tallies to visually represent the frequency, which is useful for quick visual analysis. This table also covers the full range of data, and the intervals are mutually exclusive and collectively exhaustive.

The other tables are not suitable because they have some limitations:

Table B is a frequency distribution table that uses non-overlapping intervals but it does not include all the data, as there are some values between 151 and 154 that are not covered by any interval. This table is not mutually exclusive and collectively exhaustive.

Height (cm) | Tally | Frequency

--------------|--------|---------

140-149 | ***** | 5

150-159 | ******** | 8

160-169 | ******** | 8

170-179 | ** | 2

Table C is a frequency distribution table that uses non-overlapping intervals, but the intervals are not of equal size. This table is also not mutually exclusive and collectively exhaustive.

Height (cm) | Tally | Frequency

--------------|-------|---------

145-149 | ** | 2

150-154 | ***** | 5

155-159 | ******* | 7

160-161 | ** | 2

Table D is a frequency distribution table that uses equal-sized intervals, but some of the intervals overlap, which makes this table not mutually exclusive.

Height (cm) | Tally | Frequency

--------------|--------|---------

155-159 | ******* | 7

160-164 | **** | 4

165-169 | ** | 2

In conclusion, Table A is the most appropriate table to record the given heights.

User Lysann Schlegel
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