here are the shopping times (in minutes) for each of sixteen shoppers at a local grocery store.\nshopping…
here are the shopping times (in minutes) for each of sixteen shoppers at a local grocery store.\nshopping times (in minutes)\n31 20 32 34 16 24 35 29\n20 33 21 23 30 33 25 26\n(a) complete the grouped frequency distribution for the data. (note that the class width is 4.)\nshopping times (in minutes) frequency\n16 to 19\n20 to 23\n24 to 27\n28 to 31\n32 to 35\n(b) construct a histogram for the data.\nfrequency\n6\n5\n4\n3\n2\n1\n0\n16 to 19 20 to 23 24 to 27 28 to 31 32 to 35 shopping times (in minutes)
Answer
Explanation:
Step1: Count data in 16 - 19
The data values in the range 16 - 19 are 16. So the frequency is 1.
Step2: Count data in 20 - 23
The data values in the range 20 - 23 are 20, 20, 21, 23. So the frequency is 4.
Step3: Count data in 24 - 27
The data values in the range 24 - 27 are 24, 25, 26. So the frequency is 3.
Step4: Count data in 28 - 31
The data values in the range 28 - 31 are 29, 30, 31. So the frequency is 3.
Step5: Count data in 32 - 35
The data values in the range 32 - 35 are 32, 33, 33, 34, 35. So the frequency is 5.
Answer:
| Shopping times (in minutes) | Frequency |
|---|---|
| 16 to 19 | 1 |
| 20 to 23 | 4 |
| 24 to 27 | 3 |
| 28 to 31 | 3 |
| 32 to 35 | 5 |
For part (b), to construct the histogram:
- For the interval 16 - 19, draw a bar with height 1.
- For the interval 20 - 23, draw a bar with height 4.
- For the interval 24 - 27, draw a bar with height 3.
- For the interval 28 - 31, draw a bar with height 3.
- For the interval 32 - 35, draw a bar with height 5. The x - axis represents the shopping - time intervals and the y - axis represents the frequency.