3. The heights (in cm) of 20 children in a group areas:96,98,90,96, 105, 90, 96, 120, 115,96,98,112,90,88, 110,90,96,90,110,92.Find the range, mean, median and mode of the data.
Answers
Step-by-step explanation:
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Answer:
a) Range= 32, b) Mean=98.9, c) Median=97, d) Mode= 90 and 96.
Step-by-step explanation: a) For range=
Formula=> (Range=Highest observation-Lowest observation)
Therefore=> (Range= 120-88)=32<= Range.
b) For mean=
Formula= (Mean=Sum of the given observation/No. of given observation)
Therefore=>(Mean= 1978/20)=98.9<=Mean.
c) For Median=
First you have to arrange the observations in ascending or descending order.
Ascending order= 88<90,90,90,90,90<92<96,96,96,96,96<98,98<105<110,110<112<115<120
No. of observation are in= 20<= Even no. of observation.
Formula for even no. of observation=(n/2+1)th+(n/2)th
=> (20/2+1)th+(20/2)th
=> 11th+10th /2
=> 98+96 /2
=>97<=Median.
c) For mode=
Highest no. of times the observation is coming in era=90<=6 times
= 96<=6 times
Therefore= 90 and 96 are the mode of the data.
Hope this answer will be helpfull to you!