Question
1. Students in a statistics class were asked, About how many minutes do you typically exercise in a week? Responses from the self-identified women in
1. Students in a statistics class were asked, "About how many minutes do you typically exercise in a week?" Responses from the self-identifiedwomenin the class were the following:
60, 240, 0, 360, 450,210, 100, 70, 240, 0, 60, 360,190, 300, 0, 270
Responses from the self-identifiedmenin the class were the following.: 90, 300, 60, 480, 0, 90, 300, 14, 600, 360, 120, 0, 240
(a)Compare the self-identified women to the self-identified men using a dotplot. Determine whether amount of exercise per week is similar for self-identified men and self-identified women.
(b)For each gender, determine the median response.
Women, median=Men, median=
(c)Do you think there's a "significant" difference between the weekly amount that self-identified men and self-identified women exercise?
2.
The heights (in inches) of seven adult men are75,70,69,72,76,74, and71.
(a)
Find the median height (in inches) for this list.
(b)
Find the value of the mean height (in inches). (Round your answer to two decimal places.)
3.The following table summarizes diastolic blood pressures for a sample of 700 women aged 30 to 39 years old. Diastolic blood pressure is the second of the two values in a blood pressure measurement. The intervals in the table include the lower limit, but not the upper limit. For instance, someone with a value of 55 would be counted in the interval 55 to 65, not 45 to 55.
Diastolic B.P. | Frequency |
---|---|
45-55 | 8 |
55-65 | 76 |
65-75 | 261 |
75-85 | 253 |
85-95 | 74 |
95-105 | 25 |
105-115 | 3 |
(a)
Cr,eate a histogram for the diastolic blood pressures of the 700 women.
A graph has a horizontal axis labeled "Diastolic B.P." with values from 45 to 115 and a vertical axis labeled "Percent" with values from 0% to 45%. The histogram has 7 bars of equal width. Each bar is associated with an interval and an approximate value as listed below.
- 45 to 55: 37%
- 55 to 65: 36%
- 65 to 75: 11%
- 75 to 85: 11%
- 85 to 95: 4%
- 95 to 105: 1%
- 105 to 115: 0%
A graph has a horizontal axis labeled "Diastolic B.P." with values from 45 to 115 and a vertical axis labeled "Percent" with values from 0% to 45%. The histogram has 7 bars of equal width. Each bar is associated with an interval and an approximate value as listed below.
- 45 to 55: 0%
- 55 to 65: 1%
- 65 to 75: 4%
- 75 to 85: 11%
- 85 to 95: 11%
- 95 to 105: 36%
- 105 to 115: 37%
A graph has a horizontal axis labeled "Diastolic B.P." with values from 45 to 115 and a vertical axis labeled "Percent" with values from 0% to 45%. The histogram has 7 bars of equal width. Each bar is associated with an interval and an approximate value as listed below.
- 45 to 55: 1%
- 55 to 65: 11%
- 65 to 75: 37%
- 75 to 85: 36%
- 85 to 95: 11%
- 95 to 105: 4%
- 105 to 115: 0%
A graph has a horizontal axis labeled "Diastolic B.P." with values from 45 to 115 and a vertical axis labeled "Percent" with values from 0% to 45%. The histogram has 7 bars of equal width. Each bar is associated with an interval and an approximate value as listed below.
- 45 to 55: 0%
- 55 to 65: 4%
- 65 to 75: 11%
- 75 to 85: 36%
- 85 to 95: 37%
- 95 to 105: 11%
- 105 to 115: 1%
(b)
Provide a summary of the dataset based on your histogram.
A majority of the women have a diastolic blood pressure greater than or equal to 95. With regard to shape, the data are strongly skewed to the left.A majority of the women have a diastolic blood pressure greater than or equal to 95. With regard to shape, the data are strongly skewed to the right. A majority of the women have a diastolic blood pressure less than or equal to 65. With regard to shape, the data are strongly skewed to the right.A majority of the women have a diastolic blood pressure between 65 and 85. With regard to shape, the data are slightly skewed to the right.A majority of the women have a diastolic blood pressure less than or equal to 65. With regard to shape, the data are strongly skewed to the left.A majority of the women have a diastolic blood pressure between 65 and 85. With regard to shape, the data are slightly skewed to the left.
(c)
Explain why you could not use the information in the table to cre,ate a stem-and-leaf plot for this dataset.
A stem-and-leaf plot presents all individual values, and we do have the data in this form so we could create a stem-and-leaf plot.A stem-and-leaf plot presents a summary of the data, and we do have the data in this form so we could create a stem-and-leaf plot.A stem-and-leaf plot presents all individual values, but we do not have the data in this form.A stem-and-leaf plot presents a summary of the data, but we do not have the data in this form.
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