Question

given the frequency table below for the average number of minutes a dog is walked by their owner, find the mean. round your answer to two decimals. (please do not include the units in your answer.) minutes frequency 120 4 95 5 68 6 105 3 85 5 98 5 101 8

Explanation:

Step1: Calculate total minutes for each row

For 120 minutes: \(120\times4 = 480\)
For 95 minutes: \(95\times5 = 475\)
For 68 minutes: \(68\times6 = 408\)
For 105 minutes: \(105\times3 = 315\)
For 85 minutes: \(85\times5 = 425\)
For 98 minutes: \(98\times5 = 490\)
For 101 minutes: \(101\times8 = 808\)

Step2: Sum all total minutes

Total minutes = \(480 + 475 + 408 + 315 + 425 + 490 + 808\)
\(= 480+475=955\); \(955 + 408 = 1363\); \(1363+315 = 1678\); \(1678+425 = 2103\); \(2103+490 = 2593\); \(2593+808 = 3401\)

Step3: Calculate total frequency

Total frequency = \(4 + 5 + 6 + 3 + 5 + 5 + 8\)
\(= 4+5=9\); \(9+6 = 15\); \(15+3 = 18\); \(18+5 = 23\); \(23+5 = 28\); \(28+8 = 36\)

Step4: Calculate mean

Mean = \(\frac{3401}{36}\approx94.47\)

Answer:

94.47