Matching Histograms worksheet - Free Printable
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Step-by-step solution for: Matching Histograms worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Matching Histograms worksheet
To solve this problem, we need to match each list of numbers (data set) with the correct histogram. A histogram shows how many numbers fall into specific ranges (bins). In these graphs, the x-axis represents the number ranges: 0–10, 10–20, 20–30, 30–40, and 40–50. The y-axis shows the frequency (how many numbers are in that range).
Here is the step-by-step breakdown for each data set:
1) Data Set: `3, 2, 4, 15, 14, 17, 10, 20, 33, 36, 31, 45, 46, 44`
* 0-10: 3, 2, 4 (Count: 3)
* 10-20: 15, 14, 17, 10 (Count: 4) *Note: Usually 10 goes in the lower bin or upper depending on convention, but looking at graph I, let's check the other bins first.* Let's assume standard left-inclusive [0, 10), [10, 20)... wait, looking at Graph I: 0-10 has height 2, 10-20 has height 2. Let's re-evaluate based on visual matching.
* Let's look at Graph I: Bars are heights 2, 2, 1, 4, 1.
* Let's count Set 9 instead, it might be easier.
* Let's stick to counting strictly.
* Set 1 Counts:
* 0-9: 2, 3, 4 (3 numbers)
* 10-19: 10, 14, 15, 17 (4 numbers)
* 20-29: 20 (1 number) -- *Wait, is 20 in 20-29 or 10-19? Usually histograms group 10-20, 20-30. If 20 is included in 20-30:*
* Let's try grouping by tens: 0s, 10s, 20s, 30s, 40s.
* 0s (0-9): 2, 3, 4 -> Count 3
* 10s (10-19): 10, 14, 15, 17 -> Count 4
* 20s (20-29): 20 -> Count 1
* 30s (30-39): 31, 33, 36 -> Count 3
* 40s (40-49): 44, 45, 46 -> Count 3
* Pattern: 3, 4, 1, 3, 3.
* Looking at the graphs... None match exactly 3,4,1,3,3. Let's re-read Graph B: 3, 3, 4, 1, 3. Close. Graph E: 3, 4, 1, 3, 3. Match! Set 1 is E.
2) Data Set: `9, 8, 2, 16, 16, 16, 12, 10, 26, 27, 25, 34, 30, 34, 37, 46, 43, 43, 43, 43`
* 0-9: 9, 8, 2 (Count: 3)
* 10-19: 16, 16, 16, 12, 10 (Count: 5)
* 20-29: 26, 27, 25 (Count: 3)
* 30-39: 34, 30, 34, 37 (Count: 4)
* 40-49: 46, 43, 43, 43, 43 (Count: 5)
* Pattern: 3, 5, 3, 4, 5.
* Looking at the graphs... Graph C has bars of height 3, 5, 3, 4, 5. Match! Set 2 is C.
3) Data Set: `2, 4, 3, 7, 1, 10, 10, 19, 10, 24, 39, 35, 33, 43, 42, 42, 47, 42`
* 0-9: 2, 4, 3, 7, 1 (Count: 5)
* 10-19: 10, 10, 19, 10 (Count: 4)
* 20-29: 24 (Count: 1)
* 30-39: 39, 35, 33 (Count: 3)
* 40-49: 43, 42, 42, 47, 42 (Count: 5)
* Pattern: 5, 4, 1, 3, 5.
* Looking at the graphs... Graph F has bars of height 5, 4, 1, 3, 5. Match! Set 3 is F.
4) Data Set: `5, 10, 24, 25, 38, 38, 39, 34, 46, 45, 48, 49`
* 0-9: 5 (Count: 1)
* 10-19: 10 (Count: 1)
* 20-29: 24, 25 (Count: 2)
* 30-39: 38, 38, 39, 34 (Count: 4)
* 40-49: 46, 45, 48, 49 (Count: 4)
* Pattern: 1, 1, 2, 4, 4.
* Looking at the graphs... Graph H has bars of height 1, 1, 2, 4, 4. Match! Set 4 is H.
5) Data Set: `2, 2, 2, 8, 9, 19, 12, 11, 26, 22, 27, 23, 32, 41, 47`
* 0-9: 2, 2, 2, 8, 9 (Count: 5)
* 10-19: 19, 12, 11 (Count: 3)
* 20-29: 26, 22, 27, 23 (Count: 4)
* 30-39: 32 (Count: 1)
* 40-49: 41, 47 (Count: 2)
* Pattern: 5, 3, 4, 1, 2.
* Looking at the graphs... Graph A has bars of height 5, 3, 4, 1, 2. Match! Set 5 is A.
6) Data Set: `8, 11, 14, 17, 28, 25, 25, 24, 27, 38, 39, 30, 31, 42, 41`
* 0-9: 8 (Count: 1)
* 10-19: 11, 14, 17 (Count: 3)
* 20-29: 28, 25, 25, 24, 27 (Count: 5)
* 30-39: 38, 39, 30, 31 (Count: 4)
* 40-49: 42, 41 (Count: 2)
* Pattern: 1, 3, 5, 4, 2.
* Looking at the graphs... Graph G has bars of height 1, 3, 5, 4, 2. Match! Set 6 is G.
7) Data Set: `4, 7, 3, 11, 19, 18, 26, 20, 20, 25, 36, 42, 48, 47`
* 0-9: 4, 7, 3 (Count: 3)
* 10-19: 11, 19, 18 (Count: 3)
* 20-29: 26, 20, 20, 25 (Count: 4)
* 30-39: 36 (Count: 1)
* 40-49: 42, 48, 47 (Count: 3)
* Pattern: 3, 3, 4, 1, 3.
* Looking at the graphs... Graph B has bars of height 3, 3, 4, 1, 3. Match! Set 7 is B.
8) Data Set: `4, 8, 12, 17, 21, 30, 37, 31, 35, 48`
* 0-9: 4, 8 (Count: 2)
* 10-19: 12, 17 (Count: 2)
* 20-29: 21 (Count: 1)
* 30-39: 30, 37, 31, 35 (Count: 4)
* 40-49: 48 (Count: 1)
* Pattern: 2, 2, 1, 4, 1.
* Looking at the graphs... Graph I has bars of height 2, 2, 1, 4, 1. Match! Set 8 is I.
9) Data Set: `7, 12, 15, 19, 13, 13, 23, 37, 35, 34, 36, 37, 49, 41, 40`
* 0-9: 7 (Count: 1)
* 10-19: 12, 15, 19, 13, 13 (Count: 5)
* 20-29: 23 (Count: 1)
* 30-39: 37, 35, 34, 36, 37 (Count: 5)
* 40-49: 49, 41, 40 (Count: 3)
* Pattern: 1, 5, 1, 5, 3.
* Looking at the graphs... Graph D has bars of height 1, 5, 1, 5, 3. Match! Set 9 is D.
Final Answer:
1. E
2. C
3. F
4. H
5. A
6. G
7. B
8. I
9. D
Here is the step-by-step breakdown for each data set:
1) Data Set: `3, 2, 4, 15, 14, 17, 10, 20, 33, 36, 31, 45, 46, 44`
* 0-10: 3, 2, 4 (Count: 3)
* 10-20: 15, 14, 17, 10 (Count: 4) *Note: Usually 10 goes in the lower bin or upper depending on convention, but looking at graph I, let's check the other bins first.* Let's assume standard left-inclusive [0, 10), [10, 20)... wait, looking at Graph I: 0-10 has height 2, 10-20 has height 2. Let's re-evaluate based on visual matching.
* Let's look at Graph I: Bars are heights 2, 2, 1, 4, 1.
* Let's count Set 9 instead, it might be easier.
* Let's stick to counting strictly.
* Set 1 Counts:
* 0-9: 2, 3, 4 (3 numbers)
* 10-19: 10, 14, 15, 17 (4 numbers)
* 20-29: 20 (1 number) -- *Wait, is 20 in 20-29 or 10-19? Usually histograms group 10-20, 20-30. If 20 is included in 20-30:*
* Let's try grouping by tens: 0s, 10s, 20s, 30s, 40s.
* 0s (0-9): 2, 3, 4 -> Count 3
* 10s (10-19): 10, 14, 15, 17 -> Count 4
* 20s (20-29): 20 -> Count 1
* 30s (30-39): 31, 33, 36 -> Count 3
* 40s (40-49): 44, 45, 46 -> Count 3
* Pattern: 3, 4, 1, 3, 3.
* Looking at the graphs... None match exactly 3,4,1,3,3. Let's re-read Graph B: 3, 3, 4, 1, 3. Close. Graph E: 3, 4, 1, 3, 3. Match! Set 1 is E.
2) Data Set: `9, 8, 2, 16, 16, 16, 12, 10, 26, 27, 25, 34, 30, 34, 37, 46, 43, 43, 43, 43`
* 0-9: 9, 8, 2 (Count: 3)
* 10-19: 16, 16, 16, 12, 10 (Count: 5)
* 20-29: 26, 27, 25 (Count: 3)
* 30-39: 34, 30, 34, 37 (Count: 4)
* 40-49: 46, 43, 43, 43, 43 (Count: 5)
* Pattern: 3, 5, 3, 4, 5.
* Looking at the graphs... Graph C has bars of height 3, 5, 3, 4, 5. Match! Set 2 is C.
3) Data Set: `2, 4, 3, 7, 1, 10, 10, 19, 10, 24, 39, 35, 33, 43, 42, 42, 47, 42`
* 0-9: 2, 4, 3, 7, 1 (Count: 5)
* 10-19: 10, 10, 19, 10 (Count: 4)
* 20-29: 24 (Count: 1)
* 30-39: 39, 35, 33 (Count: 3)
* 40-49: 43, 42, 42, 47, 42 (Count: 5)
* Pattern: 5, 4, 1, 3, 5.
* Looking at the graphs... Graph F has bars of height 5, 4, 1, 3, 5. Match! Set 3 is F.
4) Data Set: `5, 10, 24, 25, 38, 38, 39, 34, 46, 45, 48, 49`
* 0-9: 5 (Count: 1)
* 10-19: 10 (Count: 1)
* 20-29: 24, 25 (Count: 2)
* 30-39: 38, 38, 39, 34 (Count: 4)
* 40-49: 46, 45, 48, 49 (Count: 4)
* Pattern: 1, 1, 2, 4, 4.
* Looking at the graphs... Graph H has bars of height 1, 1, 2, 4, 4. Match! Set 4 is H.
5) Data Set: `2, 2, 2, 8, 9, 19, 12, 11, 26, 22, 27, 23, 32, 41, 47`
* 0-9: 2, 2, 2, 8, 9 (Count: 5)
* 10-19: 19, 12, 11 (Count: 3)
* 20-29: 26, 22, 27, 23 (Count: 4)
* 30-39: 32 (Count: 1)
* 40-49: 41, 47 (Count: 2)
* Pattern: 5, 3, 4, 1, 2.
* Looking at the graphs... Graph A has bars of height 5, 3, 4, 1, 2. Match! Set 5 is A.
6) Data Set: `8, 11, 14, 17, 28, 25, 25, 24, 27, 38, 39, 30, 31, 42, 41`
* 0-9: 8 (Count: 1)
* 10-19: 11, 14, 17 (Count: 3)
* 20-29: 28, 25, 25, 24, 27 (Count: 5)
* 30-39: 38, 39, 30, 31 (Count: 4)
* 40-49: 42, 41 (Count: 2)
* Pattern: 1, 3, 5, 4, 2.
* Looking at the graphs... Graph G has bars of height 1, 3, 5, 4, 2. Match! Set 6 is G.
7) Data Set: `4, 7, 3, 11, 19, 18, 26, 20, 20, 25, 36, 42, 48, 47`
* 0-9: 4, 7, 3 (Count: 3)
* 10-19: 11, 19, 18 (Count: 3)
* 20-29: 26, 20, 20, 25 (Count: 4)
* 30-39: 36 (Count: 1)
* 40-49: 42, 48, 47 (Count: 3)
* Pattern: 3, 3, 4, 1, 3.
* Looking at the graphs... Graph B has bars of height 3, 3, 4, 1, 3. Match! Set 7 is B.
8) Data Set: `4, 8, 12, 17, 21, 30, 37, 31, 35, 48`
* 0-9: 4, 8 (Count: 2)
* 10-19: 12, 17 (Count: 2)
* 20-29: 21 (Count: 1)
* 30-39: 30, 37, 31, 35 (Count: 4)
* 40-49: 48 (Count: 1)
* Pattern: 2, 2, 1, 4, 1.
* Looking at the graphs... Graph I has bars of height 2, 2, 1, 4, 1. Match! Set 8 is I.
9) Data Set: `7, 12, 15, 19, 13, 13, 23, 37, 35, 34, 36, 37, 49, 41, 40`
* 0-9: 7 (Count: 1)
* 10-19: 12, 15, 19, 13, 13 (Count: 5)
* 20-29: 23 (Count: 1)
* 30-39: 37, 35, 34, 36, 37 (Count: 5)
* 40-49: 49, 41, 40 (Count: 3)
* Pattern: 1, 5, 1, 5, 3.
* Looking at the graphs... Graph D has bars of height 1, 5, 1, 5, 3. Match! Set 9 is D.
Final Answer:
1. E
2. C
3. F
4. H
5. A
6. G
7. B
8. I
9. D
Parent Tip: Review the logic above to help your child master the concept of create a histogram worksheet.
