Consider the following dataset.
`{:[13,16,17,17,21,24]:}`
Which row of the table shows how the median and mean are affected when a score of 5 is added to the dataset?
Aussie Maths & Science Teachers: Save your time with SmarterEd
Consider the following dataset.
`{:[13,16,17,17,21,24]:}`
Which row of the table shows how the median and mean are affected when a score of 5 is added to the dataset?
`D`
`text{Mean decreases.}`
`text{Median remains 17.}`
`=>D`
A set of data is summarised in this frequency distribution table.
Which of the following is true about the data?
`text(B)`
`text{Mode = 7 (highest frequency of 9)}`
`text(Median = average of 15th and 16th data points.)`
`:.\ text(Median = 6)`
`=>\ text(B)`
Use the set of scores 1, 3, 3, 3, 4, 5, 7, 7, 12 to answer Questions 6 and 7.
Question 6
What is the range of the set of scores?
Question 7
What are the median and the mode of the set of scores?
`text(Question 6:)\ C`
`text(Question 7:)\ D`
`text(Question 6)`
`text(Range)` | `= text(High) – text(Low)` |
`= 12 – 1` | |
`= 11` |
`=> C`
`text(Question 7)`
`text(9 scores)`
`:.\ text(Median)` | `= (9 + 1) / 2` |
`=5 text(th score)` | |
`= 4` |
`text(Mode) = 3`
`=> D`
Consider the following set of scores:
`3, \ 5, \ 5, \ 6, \ 8, \ 8, \ 9, \ 10, \ 10, \ 50.`
--- 1 WORK AREA LINES (style=lined) ---
--- 5 WORK AREA LINES (style=lined) ---
`text(would become lower.)`
`text(Median will NOT change.)`
i. `text(Total of scores)`
`= 3 + 5 + 5 + 6 + 8 + 8 + 9 + 10 + 10 +50`
`= 114`
`:.\ text(Mean) = 114/10 = 11.4`
ii. `text(Mean)`
`text{If the outlier (50) is removed, the mean}`
`text(would become lower.)`
`text(Median)`
`text(The current median (10 data points))`
`= text(5th + 6th)/2 = (8 + 8)/2 = 8`
`text(The new median (9 data points))`
`=\ text(5th value)`
`= 8`
`:.\ text(Median will NOT change.)`
This set of data is arranged in order from smallest to largest.
`5, \ 6, \ 11, \ x, \ 13, \ 18, \ 25`
The range is six less than twice the value of `x`.
Which one of the following is true?
(A) The median is 12 and the interquartile range is 7.
(B) The median is 12 and the interquartile range is 12.
(C) The median is 13 and the interquartile range is 7.
(D) The median is 13 and the interquartile range is 12.
`D`
`5, 6, 11, x, 13, 18, 25`
`text(Range)` | `= 2x – 6` |
`25 – 5` | `= 2x – 6` |
`2x` | `= 26` |
`x` | `= 13` |
`:.\ text(Median)` | `= 13` |
`Q_1 = 6\ \ \ \ \ Q_3 = 18`
`:.\ text(IQR) = 12`
`=> D`
A data set of nine scores has a median of 7.
The scores 6, 6, 12 and 17 are added to this data set.
What is the median of the data set now?
`B`
`text(S)text(ince an even amount of scores are added below and)`
`text(above the existing median, it will not change.)`
`=>B`
The eye colours of a sample of children were recorded.
When analysing this data, which of the following could be found?
`C`
`text(Eye colour is categorical data)`
`:.\ text(Only the mode can be found)`
`=> C`
The July sales prices for properties in a suburb were:
$552 000, $595 000, $607 000, $607 000, $682 000, and $685 000.
On 1 August, another property in the same suburb was sold for over one million dollars.
If the property had been sold in July, what effect would it have had on the mean and median sale prices for July?
(A) Both the mean and median would have changed.
(B) Neither the mean nor the median would have changed.
(C) The mean would have changed and the median would have stayed the same.
(D) The mean would have stayed the same and the median would have changed.
`C`
`text(Mean increases because new house is sold above)`
`text(the existing average.)`
`text(Initial median)= (607\ 000+607\ 000)/2=607\ 000`
`text(New median)=607\ 000\ \ \ text{(4th value in a list of 7)}`
`=>\ C`