Mathematics, 18.10.2020 05:01 kemellgwilson

The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households. (a) Find the mean number of registered vehicles per California household.

_vehicles
(b) Find the median number of registered vehicles per California household.

___vehicles

The frequency distribution shows the number of registered motor vehicles for a random sample of 200

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Answer from: kyle65

1). Mean = 2.275

2). Median = 2 vehicles

Step-by-step explanation:

From the given table,

Number of vehicles (x) Frequency (f) (f)×(x) Cumulative freq.

0 11 0 11

1 52 52 63

2 66 132 129

3 35 105 164

4 19 76 183

5 12 60 195

6 5 30 200

$\sum (f\times x) = 455$

Number of households = 200

Mean = $\sum \frac{f.x}{n}$

= $\frac{455}{200}$

= 2.275

Median = value of $\frac{(n+1)}{2}th$ observation

= value of $\frac{201}{2}th$ observation

= Value of 100.5th observation

= Since 100.5th observation lies in the row of cumulative freq. = 129

= 2

Therefore, median number of registered vehicles per California household

= 2 vehicles

Answer from: Quest

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Answer from: Quest

step-by-step explanation:

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