The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course. Compute the mean, median, and mode time. 61.1, 73.1, 87.9, 106.5, 128.4, 932, 94.7, 116.9 Compute the mean exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mean exam time is (Round to two decimal places as needed) OB. The mean does not exist Compute the median exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The median exam time is (Round to two decimal places as needed) OB. The median does not exist. Compute the mode exam time. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The mode is (Round to two decimal places as needed. Use a comma to separate answers as needed.).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 11PPS
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### Statistical Analysis of Exam Completion Times

#### Exam Data
The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course. The times are as follows:

\[ 61.1, 73.1, 87.9, 106.5, 128.4, 93.2, 94.7, 116.9 \]

#### Mean Exam Time
**Compute the mean exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- [ ] A. The mean exam time is ________ (Round to two decimal places as needed.)
- [ ] B. The mean does not exist.

#### Median Exam Time
**Compute the median exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- [ ] A. The median exam time is ________ (Round to two decimal places as needed.)
- [ ] B. The median does not exist.

#### Mode Exam Time
**Compute the mode exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice:
- [ ] A. The mode is ________ (Round to two decimal places as needed. Use a comma to separate answers as needed.)
- [ ] B. The mode does not exist.

To calculate each of the central tendencies (mean, median, and mode), follow the instructions below for accuracy and clarity:

1. **Mean:** Add all the time values together and then divide by the number of students.
2. **Median:** Arrange the values in ascending order and find the middle value. If there's an even number of observations, calculate the average of the two central numbers.
3. **Mode:** Identify the value that appears most frequently. If no value repeats, the mode does not exist.

This practice will enhance your understanding and ability to compute measures of central tendency, which are fundamental concepts in statistics.

---

This instruction page aims to help students comprehend and calculate basic statistical measures, integral for data analysis in statistics courses.
Transcribed Image Text:### Statistical Analysis of Exam Completion Times #### Exam Data The following data represent the amount of time (in minutes) a random sample of eight students took to complete the online portion of an exam in a particular statistics course. The times are as follows: \[ 61.1, 73.1, 87.9, 106.5, 128.4, 93.2, 94.7, 116.9 \] #### Mean Exam Time **Compute the mean exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice: - [ ] A. The mean exam time is ________ (Round to two decimal places as needed.) - [ ] B. The mean does not exist. #### Median Exam Time **Compute the median exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice: - [ ] A. The median exam time is ________ (Round to two decimal places as needed.) - [ ] B. The median does not exist. #### Mode Exam Time **Compute the mode exam time.** Select the correct choice below and, if necessary, fill in the answer box to complete your choice: - [ ] A. The mode is ________ (Round to two decimal places as needed. Use a comma to separate answers as needed.) - [ ] B. The mode does not exist. To calculate each of the central tendencies (mean, median, and mode), follow the instructions below for accuracy and clarity: 1. **Mean:** Add all the time values together and then divide by the number of students. 2. **Median:** Arrange the values in ascending order and find the middle value. If there's an even number of observations, calculate the average of the two central numbers. 3. **Mode:** Identify the value that appears most frequently. If no value repeats, the mode does not exist. This practice will enhance your understanding and ability to compute measures of central tendency, which are fundamental concepts in statistics. --- This instruction page aims to help students comprehend and calculate basic statistical measures, integral for data analysis in statistics courses.
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