Class 10

Math

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Statistics

Find the mean of the following frequency distribution:Classes: 0-20 20-40 40-60 60-80 80-100Frequency: 15 18 21 29 17

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Find the mean deviation about the mean for the following data:$6,7,10,12,13,4,8,12$

The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observations.

The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. One rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases. (i) If wrong item is omitted(ii) If it is replaced by 12.

If the median of the distribution given below is 28.5, find the values of x and y.

Calculate mean, Variance and Standard Deviation for the following distribution.

The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. One rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases. (i) If wrong item is omitted (ii) If it is replaced by 12.

If two variates $XandY$ are connected by the relation $Y=caX+b ,wherea,b,c$ are constants such that $ac<0,then$ (a) $σ_{γ}=ca σ_{X}$ (b) $σ_{γ}=−ca σ_{X}$ (c) $σ_{γ}=ca σ_{X}+b$ (d) none of these

The following values are calculated in respect of heights and weights of the students of a section of Class XI: Height Weight Mean 162.6 cm 52.36 kg Variance 127.69 $cm_{2}$ 23.1361$kg_{2}$Can we say that the weights show greater variation than the