Corresponding 33321

The following data on the height and the corresponding number of pupils were found in the measurement of 63 pupils: 159cm-1,161cm-1,162cm-2,163cm-1,164cm-2,165cm-2,166cm-3,167cm-2,167cm-3 6,172cm-7,173cm-9,174cm -5,175cm-2,177cm-1,178cm-4,179cm-2,181cm-1,

(a) determine the arithmetic mean
b) determine the median mode
c) determine the variance.
d) represent the data using a polygon.

Correct answer:

m =  170.8095 cm
mod =  173
median =  171
r =  21.8685

Step-by-step explanation:

n=1+1+2+1+2+2+3+2+4+3+5+6+7+9+5+2+1+4+2+1=63  s=159 1+161 1+162 2+163 1+164 2+165 2+166 3+167 2+168 4+169 3+170 5+171 6+172 7+173 9+174 5+175 2+177 1+178 4+179 2+181 1=10761  m=ns=6310761=213587 cm=170.8095 cm
(159,161,162,162,163,164,164,165,165,166,166,166,167,167,168, 168,168,168,169,169,169,170,170,170,170,170,171,171,171,171,171,171,172, 172,172,172,172,172,172,173,173,173,173,173,173,173,173,173,174,174,174, 174,174,175,175,177,178,178,178,178,179,179,181)  n(173)=9..max  mod=mod=173
i=63/2=263=3121=31.5 median=171
s2=(159m)2 1+(161m)2 1+(162m)2 2+(163m)2 1+(164m)2 2+(165m)2 2+(166m)2 3+(167m)2 2+(168m)2 4+(169m)2 3+(170m)2 5+(171m)2 6+(172m)2 7+(173m)2 9+(174m)2 5+(175m)2 2+(177m)2 1+(178m)2 4+(179m)2 2+(181m)2 1=(159170.8095)2 1+(161170.8095)2 1+(162170.8095)2 2+(163170.8095)2 1+(164170.8095)2 2+(165170.8095)2 2+(166170.8095)2 3+(167170.8095)2 2+(168170.8095)2 4+(169170.8095)2 3+(170170.8095)2 5+(171170.8095)2 6+(172170.8095)2 7+(173170.8095)2 9+(174170.8095)2 5+(175170.8095)2 2+(177170.8095)2 1+(178170.8095)2 4+(179170.8095)2 2+(181170.8095)2 1=79644=1377751377.7143  r=s2/n=1377.7143/63=21.8685



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Looking for a standard deviation calculator?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: