Question

A group of people were asked how many books they own, and their responses are shown in the tally. Three more people were then asked, and their responses were 13, 19, 20. Copy the table and add these three responses to the tally column. What frequencies should replace a, b, c, and d in the completed table? Number of Books Tally Frequency 0-9 a 10-19 b 20-29 c 30-39 d A) a = 7, b = 12, c = 5, d = 12 B) a = 8, b = 14, c = 5, d = 9 C) a = 6, b = 15, c = 7, d = 8 D) a = 9, b = 11, c = 6, d = 10

Answer 1

To update the table with new responses, we added the responses to the appropriate ranges, resulting in frequencies: a = 6, b = 15, c = 7, d = 8. The correct answer is option C.

Step-by-step explanation:

We need to incorporate the new responses (13, 19, 20 books) into the existing frequency table. Each response falls within a specific range:

The response of 13 falls in the 10-19 range.

The response of 19 also falls in the 10-19 range.

The response of 20 falls in the 20-29 range.

Now, let's update the frequencies:

Add two to the existing frequency for the 10-19 range.

Add one to the existing frequency for the 20-29 range.

The ranges 0-9 and 30-39 do not have new entries, so their frequencies remain unchanged.

After updating the table with these values, we find that the correct frequencies for a, b, c, and d are:

a = 6: This is the original frequency for 0-9 books range; no new responses to add.

b = 15: Two additional responses (13 and 19 books) are added to the original frequency.

c = 7: One additional response (20 books) is added to the original frequency.

d = 8: This is the original frequency for 30-39 books range; no new responses to add.

Therefore, the correct option is C: a = 6, b = 15, c = 7, d = 8.

Answer 2

The correct match is option C: a = 6, b = 15, c = 7, d = 8.

To determine the frequencies for the given responses, you can analyze the tally and count the number of marks in each range. Let's calculate the frequencies:

Original tally:

- 0-9: ||||| (5 marks)

- 10-19: |||| (4 marks)

- 20-29: ||||| (5 marks)

- 30-39: || (2 marks)

Now, add the three new responses:

- 13: |||

- 19: ||||

- 20: ||||

Updated tally:

- 0-9: ||||| (5 + 0 = 5 marks)

- 10-19: ||||| (4 + 1 = 5 marks)

- 20-29: ||||| (5 + 1 = 6 marks)

- 30-39: || (2 + 0 = 2 marks)

Now, match these frequencies with the given options:

A) a = 7, b = 12, c = 5, d = 12

B) a = 8, b = 14, c = 5, d = 9

C) a = 6, b = 15, c = 7, d = 8

D) a = 9, b = 11, c = 6, d = 10

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