Question

Home GamesNumbers Lists & More Drawings RANDOM Do you own an iOS or Android device? Check out our app! andom Integer Generator Here are your random numbers: 27 74 84 49 50 54 53 15 40 Timestamp: 2019-01-20 07:20:57 UTC Againl Go Back © 1998. Follow us: Tw Term

Answer 1

1. Generated random numbers are :

27, 74, 88, 84, 49, 50, 54, 53, 15, 40

2.  

$\dpi{80} \fn_jvn Mean = \frac{\sum x_{i}}{N}$

Here,
∑ represents the summation
X represents scores
N represents number of scores.

Mean = $\dpi{80} \fn_jvn \frac{27+74+88+84+49+50+54+53+15+40}{10}$

  $\dpi{80} \fn_jvn = \frac{534}{10} = 53.4$

Medain

To find median we will first arrange the data in ascending order

15, 27, 40, 49, 50, 53, 54, 74, 84, 88.

since number of observation are even i.e. 10 hence

Median = $\dpi{80} \fn_jvn \frac{\left ( \frac{n}{2} \right )^{th} term + \left ( \frac{n}{2} +1\right )^{th} term }{2}$

$\dpi{80} \fn_jvn = \frac{50 +53}{2} = \frac{103}{2}$

= 51.5

Mode : The mode is the number that appears the most often, in this case all values appeared just once, hence there is no mode.

4.

To find standard deviation we use the following formula

$\fn_jvn \sigma = \sqrt{\frac{\sum (x_{i} - \mu )^{2}}{N}}$

data data-mean 26.4 20.6 34.6 30.6 -4.4 -3.4 0.6 (data - mean) 696.96 424.36 1197.16 936.36 19.36 11.56 0.36 0.16 1474.56 179.56 27 84 49 50 53 15 40 38.4 -13.4

∑(x_i− $\fn_jvn \mu$)²=4940.4

$\fn_jvn \sigma = \sqrt{\frac{4940.4}{10}}$

  $\fn_jvn \approx 23.4293$