Question

below are iq scores from 30 randomly selected adults. { 60, 63, 78, 81, 83, 84, 85, 91, 92, 93, 94, 97, 98, 98, 98, 99, 101, 102, 103, 107, 109, 109, 110, 112, 113, 114, 114, 121, 121, 125 }. first, give the mean of the data set. part 2 of 6 next, give the median of the data set. part 3 of 6 now give the mode of the data set. if there is more than one, write them in order, separated by commas.

Explanation:

Step1: Recall mean formula

The mean $\bar{x}$ of a data - set $x_1,x_2,\cdots,x_n$ is $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here $n = 30$.

Step2: Calculate the sum of data

$\sum_{i=1}^{30}x_i=60 + 63+78+81+83+84+85+91+92+93+94+97+98+98+98+99+101+102+103+107+109+109+110+112+113+114+114+121+121+125=2940$.

Step3: Calculate the mean

$\bar{x}=\frac{2940}{30}=98$.

Step4: Recall mode concept

The mode is the number that appears most frequently in a data - set.

Step5: Identify the mode

In the data - set, the number 98 appears 3 times, and 121 appears 2 times, and other numbers appear 1 or 2 times. So the mode is 98.

Answer:

Part 1 of 6: 98
Part 3 of 6: 98