Question
Edward works at a grocery store. He kept track of the number of coupons redeemed by the last 20 shoppers. The center of the dot plot was 1. No one redeemed 4 coupons. Most people did not redeem any coupons. Which dot plot displays this information correctly?
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 2 dots, 2 has 2 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 0 dots, and 5 has 4 dots.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 7 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, 5 has 1 dot. 1234
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 3 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 2 dots, 2 has 2 dots, 3 has 5 dots, 4 has 0 dots, and 5 has 1 dot.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 8 dots, 1 has 1 dot, 2 has 3 dots, 3 has 4 dots, 4 has 0 dots, and 5 has 4 dots.
Number of Coupons Redeemed by Each Shopper
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 7 dots, 2 has 3 dots, 3 has 5 dots, 4 has 0 dots, 5 has 1 dot. 1234
Answers
GPT-4o mini
To analyze the options based on the provided information about the number of coupons redeemed by the last 20 shoppers, we can summarize the key points:
1. The **center of the dot plot is 1**, which suggests that the mean or median number of coupons redeemed is around 1.
2. **No one redeemed 4 coupons**, meaning that the count for 4 must be 0.
3. **Most people did not redeem any coupons**, indicating that the count for 0 should be relatively high compared to other numbers.
Now, let's evaluate each of the provided dot plots:
1. **First Option**:
- 0 has 8 dots
- 1 has 3 dots
- 2 has 3 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 8 + 3 + 3 + 5 + 0 + 1 = 20
- Mean = (0*8 + 1*3 + 2*3 + 3*5 + 4*0 + 5*1) / 20 = (0 + 3 + 6 + 15 + 0 + 5) / 20 = 24 / 20 = 1.2 (not centered at 1)
2. **Second Option**:
- 0 has 8 dots
- 1 has 2 dots
- 2 has 2 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 8 + 2 + 2 + 5 + 0 + 1 = 18 (not 20)
3. **Third Option**:
- 0 has 8 dots
- 1 has 1 dot
- 2 has 3 dots
- 3 has 4 dots
- 4 has 0 dots
- 5 has 4 dots
- Total = 8 + 1 + 3 + 4 + 0 + 4 = 20
- Mean = (0*8 + 1*1 + 2*3 + 3*4 + 4*0 + 5*4) / 20 = (0 + 1 + 6 + 12 + 0 + 20) / 20 = 39 / 20 = 1.95 (not centered at 1)
4. **Fourth Option**:
- 0 has 4 dots
- 1 has 7 dots
- 2 has 3 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 4 + 7 + 3 + 5 + 0 + 1 = 20
- Mean = (0*4 + 1*7 + 2*3 + 3*5 + 4*0 + 5*1) / 20 = (0 + 7 + 6 + 15 + 0 + 5) / 20 = 28 / 20 = 1.4 (not centered at 1)
After evaluating all four options, none of them perfectly meet all the conditions specified. However, based on the information, the option that comes closest is the **first option**, which has the most number of people redeeming 0 coupons (8) and does not have any 4 coupon redemptions, although the center is slightly above 1.
Thus, while none fits perfectly:
- The first dot plot overall aligns best with the given information.
Let me know if you'd like to consider any other details or explanations!
1. The **center of the dot plot is 1**, which suggests that the mean or median number of coupons redeemed is around 1.
2. **No one redeemed 4 coupons**, meaning that the count for 4 must be 0.
3. **Most people did not redeem any coupons**, indicating that the count for 0 should be relatively high compared to other numbers.
Now, let's evaluate each of the provided dot plots:
1. **First Option**:
- 0 has 8 dots
- 1 has 3 dots
- 2 has 3 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 8 + 3 + 3 + 5 + 0 + 1 = 20
- Mean = (0*8 + 1*3 + 2*3 + 3*5 + 4*0 + 5*1) / 20 = (0 + 3 + 6 + 15 + 0 + 5) / 20 = 24 / 20 = 1.2 (not centered at 1)
2. **Second Option**:
- 0 has 8 dots
- 1 has 2 dots
- 2 has 2 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 8 + 2 + 2 + 5 + 0 + 1 = 18 (not 20)
3. **Third Option**:
- 0 has 8 dots
- 1 has 1 dot
- 2 has 3 dots
- 3 has 4 dots
- 4 has 0 dots
- 5 has 4 dots
- Total = 8 + 1 + 3 + 4 + 0 + 4 = 20
- Mean = (0*8 + 1*1 + 2*3 + 3*4 + 4*0 + 5*4) / 20 = (0 + 1 + 6 + 12 + 0 + 20) / 20 = 39 / 20 = 1.95 (not centered at 1)
4. **Fourth Option**:
- 0 has 4 dots
- 1 has 7 dots
- 2 has 3 dots
- 3 has 5 dots
- 4 has 0 dots
- 5 has 1 dot
- Total = 4 + 7 + 3 + 5 + 0 + 1 = 20
- Mean = (0*4 + 1*7 + 2*3 + 3*5 + 4*0 + 5*1) / 20 = (0 + 7 + 6 + 15 + 0 + 5) / 20 = 28 / 20 = 1.4 (not centered at 1)
After evaluating all four options, none of them perfectly meet all the conditions specified. However, based on the information, the option that comes closest is the **first option**, which has the most number of people redeeming 0 coupons (8) and does not have any 4 coupon redemptions, although the center is slightly above 1.
Thus, while none fits perfectly:
- The first dot plot overall aligns best with the given information.
Let me know if you'd like to consider any other details or explanations!