shopping times (in minutes)\n22 30 38 27 28 34\n30 19 32 15 24 31\n33 26 17 20 21 23\n(a) complete the…
shopping times (in minutes)\n22 30 38 27 28 34\n30 19 32 15 24 31\n33 26 17 20 21 23\n(a) complete the grouped frequency distribution for the data. (note that the class width is 6.)\nshopping times (in minutes) frequency\n15 to 20 \n21 to 26 \n27 to 32 \n33 to 38 \n(b) construct a histogram for the data.\nfrequency\n↑\n7\n6\n5\n4\n3\n2\n1\n0\n15 to 20 21 to 26 27 to 32 33 to 38\nshopping times (in minutes)
Answer
Explanation:
Step1: Count data in 15 - 20
The numbers in the range 15 to 20 are 15, 19, 17, 20. So the frequency is 4.
Step2: Count data in 21 - 26
The numbers in the range 21 to 26 are 24, 26, 21, 23. So the frequency is 4.
Step3: Count data in 27 - 32
The numbers in the range 27 to 32 are 27, 28, 30, 32, 30, 31. So the frequency is 6.
Step4: Count data in 33 - 38
The numbers in the range 33 to 38 are 38, 33. So the frequency is 2.
Answer:
| Shopping times (in minutes) | Frequency |
|---|---|
| 15 to 20 | 4 |
| 21 to 26 | 4 |
| 27 to 32 | 6 |
| 33 to 38 | 2 |
To construct the histogram:
- For the interval 15 - 20, draw a bar with height 4.
- For the interval 21 - 26, draw a bar with height 4.
- For the interval 27 - 32, draw a bar with height 6.
- For the interval 33 - 38, draw a bar with height 2.