Question

understanding frequency
enter two or more numbers in the table to create a histogram.
data

show histogram.
enter the data to create a histogram. then check all that apply.
hours 0 0.5 4 1 1 0 0.5 0 1 1
nino keeps track of how many hours he studies.
□ nino studies for 0–1 hour most often.
□ nino did not study for 2–3 hours any day.
□ nino kept track of his study time for 10 days.
□ nino studied for 4–5 hours on 1 day.
□ there were days nino studied for more than 5 hours.

Explanation:

Step1: Count the number of data points

The data set is \(0, 0.5, 4, 1, 1, 0, 0.5, 0, 1, 1\). The number of data points \(n = 10\).

Step2: Analyze each option

• Option 1: Nino studies for \(0 - 1\) hour most often

The number of times \(0\) appears is \(3\), the number of times \(0.5\) appears is \(2\), and the number of times \(1\) appears is \(4\). The total number of times in the \(0 - 1\) hour range (\(0,0.5,1\)) is \(3 + 2+4=9\). Since \(9>1\) (the frequency of \(4\)), this option is correct.

• Option 2: Nino did not study for \(2 - 3\) hours any day

There is no data in the \(2 - 3\) hour range in the data set \(0, 0.5, 4, 1, 1, 0, 0.5, 0, 1, 1\). So this option is correct.

• Option 3: Nino kept track of his study time for \(10\) days

Since there are \(10\) data points in the data set \(0, 0.5, 4, 1, 1, 0, 0.5, 0, 1, 1\), this option is correct.

• Option 4: Nino studied for \(4 - 5\) hours on \(1\) day

The number \(4\) appears once in the data set \(0, 0.5, 4, 1, 1, 0, 0.5, 0, 1, 1\). So this option is correct.

• Option 5: There were days Nino studied for more than \(5\) hours

There is no data greater than \(5\) in the data set \(0, 0.5, 4, 1, 1, 0, 0.5, 0, 1, 1\). So this option is incorrect.

Answer:

Nino studies for \(0 - 1\) hour most often, Nino did not study for \(2 - 3\) hours any day, Nino kept track of his study time for \(10\) days, Nino studied for \(4 - 5\) hours on \(1\) day.