Question

challenge
the table shows speeds of 15 cheetahs in miles per hour. you want to find the number of cheetahs that ran at least 55 miles per hour but less than 60 miles per hour and the number that ran at least 75 miles per hour but less than 80 miles per hour. what data display would be best to represent the data? how many cheetahs are in each group?
table of cheetah speeds (miles per hour) and bar graphs shown
how many cheetahs ran at least 55 miles per hour but less than 60 miles per hour?
there were □ cheetahs that ran at least 55 miles per hour but less than 60 miles per hour.

Explanation:

Step1: List all speeds

First, we list all the speeds from the table: 50, 67, 58, 76, 54, 56, 62, 66, 71, 76, 54, 60, 68, 56, 73.

Step2: Identify speeds ≥55 and <60

Now, we identify the speeds that are at least 55 (≥55) and less than 60 (<60). Let's check each speed:

• 50: <55, so no.
• 67: ≥60, so no.
• 58: ≥55 and <60, yes.
• 76: ≥60, so no.
• 54: <55, so no.
• 56: ≥55 and <60, yes.
• 62: ≥60, so no.
• 66: ≥60, so no.
• 71: ≥60, so no.
• 76: ≥60, so no.
• 54: <55, so no.
• 60: =60, so no (we need <60).
• 68: ≥60, so no.
• 56: ≥55 and <60, yes.
• 73: ≥60, so no.

Now, count the number of speeds that meet the criteria: 58, 56, 56. Wait, let's re - check:
Wait, the speeds are in three rows. Let's list all 15 speeds properly:
Row 1: 50, 67, 58
Row 2: 76, 54, 56
Row 3: 62, 66, 71
Row 4: 76, 54, 60
Row 5: 68, 56, 73

Now, check each speed:

• 50: <55 → exclude
• 67: ≥60 → exclude
• 58: 55 ≤58 <60 → include
• 76: ≥60 → exclude
• 54: <55 → exclude
• 56: 55 ≤56 <60 → include
• 62: ≥60 → exclude
• 66: ≥60 → exclude
• 71: ≥60 → exclude
• 76: ≥60 → exclude
• 54: <55 → exclude
• 60: =60 → exclude (needs <60)
• 68: ≥60 → exclude
• 56: 55 ≤56 <60 → include
• 73: ≥60 → exclude

Now, count the included ones: 58, 56, 56. Wait, that's 3? Wait, no, wait:
Wait, 58 is one, 56 (row 2) is two, 56 (row 5) is three. Wait, but let's check again. Wait, maybe I missed some. Wait, the speeds are:

50, 67, 58,

76, 54, 56,

62, 66, 71,

76, 54, 60,

68, 56, 73.

Now, the condition is at least 55 (≥55) and less than 60 (<60). So the values in this range are:

58 (55 ≤58 <60), 56 (55 ≤56 <60), 56 (55 ≤56 <60). Wait, is there any other? Let's check 54: no, 50: no. 60: no, 62: no, etc. Wait, but maybe I made a mistake. Wait, let's list all speeds and their values:

1. 50
2. 67
3. 58
4. 76
5. 54
6. 56
7. 62
8. 66
9. 71
10. 76
11. 54
12. 60
13. 68
14. 56
15. 73

Now, for each speed \( v \), check if \( 55\leq v < 60 \):

• \( v = 50 \): \( 50<55 \) → no
• \( v = 67 \): \( 67\geq60 \) → no
• \( v = 58 \): \( 55\leq58 < 60 \) → yes
• \( v = 76 \): \( 76\geq60 \) → no
• \( v = 54 \): \( 54<55 \) → no
• \( v = 56 \): \( 55\leq56 < 60 \) → yes
• \( v = 62 \): \( 62\geq60 \) → no
• \( v = 66 \): \( 66\geq60 \) → no
• \( v = 71 \): \( 71\geq60 \) → no
• \( v = 76 \): \( 76\geq60 \) → no
• \( v = 54 \): \( 54<55 \) → no
• \( v = 60 \): \( v = 60 \) (not less than 60) → no
• \( v = 68 \): \( 68\geq60 \) → no
• \( v = 56 \): \( 55\leq56 < 60 \) → yes
• \( v = 73 \): \( 73\geq60 \) → no

Now, count the number of "yes" cases: 58, 56, 56. So that's 3? Wait, but that seems low. Wait, maybe I misread the table. Wait, the table has three columns? Let me re - examine the table structure. The table is:

First row (Speed (miles per hour)): 50, 67, 58

Second row: 76, 54, 56

Third row: 62, 66, 71

Fourth row: 76, 54, 60

Fifth row: 68, 56, 73

Wait, maybe the columns are three, and there are 5 rows, so 3×5 = 15 data points. Now, let's list all 15 data points:

1. 50

1. 67

1. 58

1. 76

1. 54

1. 56

1. 62

1. 66

1. 71

1. 76

1. 54

1. 60

1. 68

1. 56

1. 73

Now, let's check each for \( 55\leq v < 60 \):

• 50: no

• 67: no

• 58: yes (55 ≤58 <60)

• 76: no

• 54: no

• 56: yes (55 ≤56 <60)

• 62: no

• 66: no

• 71: no

• 76: no

• 54: no

• 60: no (since we need <60)

• 68: no

• 56: yes (55 ≤56 <60)

• 73: no

So the number of cheetahs with speed at least 55 miles per hour but less than 60 miles per hour is 3? Wait, but maybe I made a mistake. Wait, 56 is in the range, 58 is in the range, and another 56. So that's three.

Answer:

3