Find the value of x and y in following distribution if it known that the mean of the distribution is 1.46

No. of students 0 1 2 3 4 5 Total

Frequency 46 x y 25 10 5 200

the given data is

no of students (X) | frequency (f) | f*X |

0 | 46 | 0 |

1 | x | x |

2 | y | 2y |

3 | 25 | 75 |

4 | 10 | 40 |

5 | 5 | 25 |

total | x+y+86 | x+2y+140 |

given : total frequency = 200

and mean of the distribution = 1.46

from (1) and (2):

y=152-114

y=38

x+y=114

x=114-38=76

hope this helps you.

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