Question

a group of 7 students was asked, \how many hours did you watch television last week?\ here are their responses.
4, 4, 14, 17, 10, 6, 18
find the mean number of hours for these students.
if necessary, round your answer to the nearest tenth.
hours refresh button close button

Explanation:

Step1: Sum the data values

To find the mean, we first sum all the given values. The data points are 4, 4, 14, 17, 10, 6, 18. So we calculate: \(4 + 4 + 14 + 17 + 10 + 6 + 18\). Let's add them step by step: \(4+4 = 8\), \(8 + 14=22\), \(22+17 = 39\), \(39+10 = 49\), \(49+6 = 55\), \(55+18=73\). So the sum of the data is 73.

Step2: Divide by the number of data points

The mean is calculated by dividing the sum of the data by the number of data points. Here, the number of students (data points) is 7. So we divide the sum (73) by 7: \(\frac{73}{7}\approx10.4286\). Rounding to the nearest tenth, we look at the hundredth place. The hundredth digit is 2, which is less than 5, so we round down. So \(\frac{73}{7}\approx10.4\) (to the nearest tenth).

Answer:

10.4