Question

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 35 hours and the median is 31.2 hours. Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours.
Step 1 of 5: Based on the given information, determine if the following statement is true or false.
The 55th percentile is greater than or equal to 30 hours.
Step 3 of 5: Based on the given information, determine if the following statement is true or false.
Approximately 100 families turned on their televisions for less than 35 hours.
Step 5 of 5:
Based on the given information, determine if the following statement is true or false.
The first quartile is less than 20 hours.

Answer 1

It is discovered using statistical notions like percentiles and median that:

1. False.

2. The sample consists of 400 families.

3. False.

4. The 50th percentile has a value of 31.2 hours.

5. True

How to find the calculation?

When a measure is higher than x% of the other measurements, it is considered to be in the xth percentile.

The 50th percentile is the median.

Observation 1:

The median is 31.2 hours, making 31.2 hours the 50th percentile.

Because the 56th percentile is higher than the 50th percentile and hence exceeds 31.2 hours, assertion 1 is untrue.

Item 2:

In keeping with the 6th percentile, 24 households watched TV for 20 hours or less, or 6% of the sample.

Consequently, the sample size is:

The sample consists of 400 families.

Observation 3:

The average length is 31.2 hours.

As a result, statement 3 is untrue because 0.5(400) = 200 families watched TV for fewer than 31.2 hours.

Item 4:

Since the median is 31.2 hours, the 50th percentile value is also 31.2 hours.

Indication 5:

The median is 20 hours, or 6 percent.

The 25th percentile, or the first quartile, is higher than the 6th percentile.

The assertion is accurate because the first quartile exceeds 20 hours.

To Learn more About statistical notions  refer to:

https://brainly.com/question/25831511

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