The data shown below shows the amount in dollars spent on groceries in one day by 30 people.


204 210 227 218 254 256 238 242 253 227
251 243 233 251 241 237 247 211 222 231
218 212 217 227 209 260 230 228 242 200

1 mark
a. Is it a continuous or a discrete data?
b. Fill in the following table using the data given above:


4 marks
Class Limits Class Boundaries Frequency Cumulative Frequency










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To determine whether the given data is continuous or discrete, we need to understand the nature of the data.

a. Continuous data refers to values that can take on any value within a given range, typically measured on a continuous scale. Discrete data refers to values that are separate and distinct, often counted or enumerated.

In this case, the data represents the amount in dollars spent on groceries in one day by 30 people. Since the amount of money spent can take on any value within a range (e.g., $200 to $260), it is continuous data.

b. To fill in the table using the given data, we need to determine the class limits, class boundaries, frequency, and cumulative frequency.

1. Class Limits: Choose a suitable range for each class. For example, we can use a range of $10.

Class 1: $200 - $209
Class 2: $210 - $219
Class 3: $220 - $229
Class 4: $230 - $239
Class 5: $240 - $249
Class 6: $250 - $259

2. Class Boundaries: Class boundaries are calculated by finding the midpoints between the class limits.

Class 1: $199.5 - $209.5
Class 2: $209.5 - $219.5
Class 3: $219.5 - $229.5
Class 4: $229.5 - $239.5
Class 5: $239.5 - $249.5
Class 6: $249.5 - $259.5

3. Frequency: Count the number of values that falls within each class range.

Class 1: 2
Class 2: 7
Class 3: 7
Class 4: 7
Class 5: 4
Class 6: 3

4. Cumulative Frequency: Calculate the running total of the frequencies from the lowest to the highest class.

Class 1: 2
Class 2: 9
Class 3: 16
Class 4: 23
Class 5: 27
Class 6: 30

The filled table would look as follows:

Class Limits Class Boundaries Frequency Cumulative Frequency
$200 - $209 $199.5 - $209.5 2 2
$210 - $219 $209.5 - $219.5 7 9
$220 - $229 $219.5 - $229.5 7 16
$230 - $239 $229.5 - $239.5 7 23
$240 - $249 $239.5 - $249.5 4 27
$250 - $259 $249.5 - $259.5 3 30