The histogram below displays the distribution of spleen weight for a sample of 32 seals.
The histogram has a \(\log _{10}\) scale.
The number of seals in this sample with a spleen weight of 1000 g or more is
- 7
- 8
- 17
- 25
- 27
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The histogram below displays the distribution of spleen weight for a sample of 32 seals.
The histogram has a \(\log _{10}\) scale.
The number of seals in this sample with a spleen weight of 1000 g or more is
\(D\)
\(\text{Given}\ \log_{10} 1000 = 3\ \ (10^3 = 1000) \)
\(\text{Number of seals} = 8 + 9 + 7 + 1 = 25\)
\(\Rightarrow D\)
The histogram below displays the distribution of prices, in dollars, of the cars for sale in a used-car yard.
The histogram has a logarithm (base 10) scale.
Six of the cars in the yard have the following prices:
\($2450, \ $3175, \ $4999, \ $8925, \ $10\ 250, \ $105\ 600\)
How many of the six car prices listed above are in the modal class interval?
\(C\)
\(\text{Modal class interval is 3.5 – 4.0}\)
\(\text{Take the log}_{10}\ \text{of each car price:}\)
\(\log_{10}2450 = 3.389\ \cross, \ \log_{10}3175 = 3.501\ \checkmark\)
\(\log_{10}4999 = 3.69\ \checkmark, \ \log_{10}8925 = 3.95\ \checkmark\)
\(\log_{10}10\ 250 = 4.01\ \cross, \ \log_{10}105\ 600 = 5.02\ \cross\)
\(\Rightarrow C\)
The histogram below shows the distribution of weight, in grams, for a sample of 20 animal species. The histogram has been plotted on a `log_10` scale.
The percentage of these animal species with a weight of less than 10 000 g is
`E`
`log_10 10\ 000 = 4`
`text(Animals)\ (x <= 4) = 3 + 2 + 12 = 17`
`:.\ text(Percentage)` | `= 17/20` |
`= 85%` |
`=> E`
The histogram below shows the distribution of the log10 (area), with area in square kilometres, of 17 islands.
The median area of these islands, in square kilometres, is between
`D`
`text(17 data points)\ =>\ text(median is 9th)`
`3 < text(log)_10(text(area)) < 4`
`1000 < text(area) < 10\ 000`
`=> D`
Part 1
The histogram below shows the distribution of the number of billionaires per million people for 53 countries.
Using this histogram, the percentage of these 53 countries with less than two billionaires per million people is closest to
Part 2
The histogram below shows the distribution of the number of billionaires per million people for the same 53 countries as in Part 1, but this time plotted on a `log_10` scale.
Based on this histogram, the number of countries with one or more billionaires per million people is
`text(Part 1:)\ D`
`text(Part 1:)\ E`
`text(Part 1)`
`text(Percentage with less than 2)`
`= text(countries with less than 2)/text(total countries)`
`= 49/((49 + 2 + 1 + 1))`
`= 49/53`
`~~ 92.4text(%)`
`=> D`
`text(Part 2)`
`text(Let)\ \ x=\ text(number of billionaires per million,)`
`text(Number of countries where)\ \ x >= 1,`
`=> log_10 x >= 0`
`:.\ text(Number of countries)`
`= 9 + 1`
`= 10`
`=> E`