ush financial is a small bank that is examining its customers use of its website. the numbers of online…

ush financial is a small bank that is examining its customers use of its website. the numbers of online transactions made per day during follows. 63, 66, 74, 54, 60, 59, 54 (a) what is the median of this data set? if your answer is not an integer, round your answer to one decimal place. (b) what is the mean of this data set? if your answer is not an integer, round your answer to one decimal place. (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: and

ush financial is a small bank that is examining its customers use of its website. the numbers of online transactions made per day during follows. 63, 66, 74, 54, 60, 59, 54 (a) what is the median of this data set? if your answer is not an integer, round your answer to one decimal place. (b) what is the mean of this data set? if your answer is not an integer, round your answer to one decimal place. (c) how many modes does the data set have, and what are their values? indicate the number of modes by clicking in the appropriate circle, and then indicate the value(s) of the mode(s), if applicable. zero modes one mode: two modes: and

Answer

Explanation:

Step1: Sort the data set

$54,54,59,60,63,66,74$

Step2: Find the median

Since $n = 7$ (odd - numbered data set), the median is the $\left(\frac{n + 1}{2}\right)$-th value. $\frac{7+1}{2}=4$ - th value. So the median is $60$.

Step3: Calculate the mean

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}=\frac{54 + 54+59+60+63+66+74}{7}=\frac{430}{7}\approx61.4$

Step4: Determine the mode

The number $54$ appears twice and all other numbers appear once. So the mode is $54$.

Answer:

(a) $60$ (b) $61.4$ (c) one mode: $54$