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katen-ka-za [31]
3 years ago
7

The table shows information about the numbers of hours 30 children spent on their tablets one evening. a) find the class interva

l that contains the median. B)work out an estimate for the mean number of hours

Mathematics
2 answers:
Bogdan [553]3 years ago
8 0

Answer:

a) 20<h≤30.

b) 26.17 hrs

Step-by-step explanation:

The missing table is shown in attachment.

Part a)

We need to find the class interval that contains the median.

The total frequency is

\sum \: f = 30

The median class corresponds to half

\frac{1}{2}  \sum \: f ^{th}  -  -  - value

That is the 15th value.

We start adding the frequency from the top obtain the least cumulative frequency greater or equal to 15.

2+8+9=19

This corresponds to the class interval 20<h≤30.

Adding from the bottom also gives the same result.

Therefore the median class is 20<h≤30.

b) Since this is a grouped data we use the midpoint to represent the class.

The median is given by :

\frac{\sum \: fx}{ \sum\: f}

=  \frac{5 \times 3 + 15\times 8 + 25 \times 9 + 35 \times 7 + 45 \times 4}{30}

=  \frac{785}{30}

= 26.17

sattari [20]3 years ago
6 0

Answer:

b) is 2.2

Step-by-step explanation:

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