Saturday, August 21, 2021

You want to investigate the average amount of time people aged 20 to 40 spend on the phone each week. Interpret the chart below by finding the group mean of the hours spent on the phone. Age Hours 20-22 45 23-25 36 26-28 25 29-31 16 32-34 12 35-37 8.5 38-40 4 Histogram

 Problem

You want to investigate the average amount of time people aged 20 to 40 spend on the phone each week. Interpret the chart below by finding the group mean of the hours spent on the phone.

AgeHours
20-2245
23-2536
26-2825
29-3116
32-3412
35-378.5
38-404

 

Histogram




Solution 

In this problem, in order to interpret the chart you where asked to,

  • Interpret the chart by finding the group mean of the hours spent on the phone

To find the group mean, you simply have to follow the formula,

  \[ x_{group} = \frac{\Sigma(f_{i}*x_{m})}{n} \]

AgeHoursx_{m}f_{i}*x_{m}
20-224521945
23-253624864
26-282527675
29-311630480
32-341233396
35-378.536306
38-40439156
Total146.53822

 

Plugging this into the formula, you get,

  \[ x_{group} = \frac{3822}{146.5} = 26.1 \]

Which means that the group average is ages 26-28. This can be seen in the chart below.

Histogram 2

 

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